# Digital Gemology: full text

> The full text of https://digitalgemology.com, page by page. Index: https://digitalgemology.com/llms.txt. Each cut in each gemstone has its own page, as Markdown at https://digitalgemology.com/gemstones/<stone>/<cut>.md.

# Digital Gemology

Source: https://digitalgemology.com/

**3D models and cutting files for gemstones,** built from one measured geometry. Each of a stone's seven file types describes the same stone, never more than a hair's width apart.

[Browse the cuts](https://digitalgemology.com/cuts/) [Open the 3D Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator)

[DG-Vitruvio](https://digitalgemology.com/cuts/dg-vitruvio) · 265 facets ·

## Two kinds of file

One geometry, two ways to use it. Cutting files take a design to the faceting machine. 3D files take the same stone into CAD, rendering and jewelry manufacture. Both are built from the same geometry, so the angles you cut are the angles you render.

*For cutters* *GemCad*

### Cutting files

Everything a cutter needs to put the design on the machine, with every angle and index taken straight from the geometry.

- **.asc** GemCad design file
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 per cut · Personal use [Browse the cuts](https://digitalgemology.com/cuts/)

*For designers* *CAD* *Render*

### 3D files

Exact faceted models with flat facets and clean edges, ready for settings, renders and production.

- **STEP** Exact geometry for CAD
- **3DM** Rhino
- **STL, OBJ** Mesh for printing and modelling
- **GLB, FBX** Rendering, animation and the web

€9.99 per model · Personal use [Browse the models](https://digitalgemology.com/cuts/)

## The collections

From the modern round brilliant back to the cuts of the seventeenth century, plus our own house cuts and the five Platonic solids as 3D models. Where a cut was rebuilt from a historical source, the product page names the source. [See every cut](https://digitalgemology.com/cuts/).

### Brilliants

Round brilliants cut to the 1919 proportions, in order of subdivision.

- [T73](https://digitalgemology.com/cuts/t73-round-brilliant)
- [T105](https://digitalgemology.com/cuts/t105-round-brilliant)
- [DG-Vitruvio](https://digitalgemology.com/cuts/dg-vitruvio)

### Historic cuts

The evolution of the brilliant, from the single cut to the 1919 knife-edge round.

- [Old Single](https://digitalgemology.com/cuts/old-single)
- [Mazarin](https://digitalgemology.com/cuts/mazarin)
- [Peruzzi](https://digitalgemology.com/cuts/peruzzi)
- [Old Mine](https://digitalgemology.com/cuts/old-mine)
- [Old European](https://digitalgemology.com/cuts/old-european)
- [T57](https://digitalgemology.com/cuts/t57-round-brilliant)

### Jewelry cuts

The shapes jewelers set every day, from the oval and the pear to step cuts and traditional patterns.

- [Oval](https://digitalgemology.com/cuts/oval)
- [Pear](https://digitalgemology.com/cuts/pear)
- [Teardrop](https://digitalgemology.com/cuts/teardrop)
- [Marquise](https://digitalgemology.com/cuts/marquise)
- [Heart](https://digitalgemology.com/cuts/heart)
- [Cushion](https://digitalgemology.com/cuts/cushion)
- [Radiant](https://digitalgemology.com/cuts/radiant)
- [Radiant Square](https://digitalgemology.com/cuts/radiant-square)
- [Princess](https://digitalgemology.com/cuts/princess)
- [Emerald](https://digitalgemology.com/cuts/emerald-cut)
- [Emerald Square](https://digitalgemology.com/cuts/emerald-square)
- [Asscher](https://digitalgemology.com/cuts/asscher)
- [Baguette](https://digitalgemology.com/cuts/baguette)
- [Square](https://digitalgemology.com/cuts/square)
- [Rectangle](https://digitalgemology.com/cuts/rectangle)
- [Octagon](https://digitalgemology.com/cuts/octagon)
- [Hexagon](https://digitalgemology.com/cuts/hexagon)
- [Triangle](https://digitalgemology.com/cuts/triangle)
- [Trilliant](https://digitalgemology.com/cuts/trilliant)
- [Trillion](https://digitalgemology.com/cuts/trillion)
- [Portuguese Bird's Nest](https://digitalgemology.com/cuts/portuguese-birds-nest)

### House cuts

Our own designs, from rounds on eight- and twelve-fold plans to a stepped hexagon finished on both faces and a faceted cabochon.

- [DG-M5](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

### Platonic solids

The five regular solids as exact 3D models, sharing one circumsphere. 3D files only.

- [Tetrahedron](https://digitalgemology.com/cuts/tetrahedron)
- [Hexahedron](https://digitalgemology.com/cuts/hexahedron)
- [Octahedron](https://digitalgemology.com/cuts/octahedron)
- [Dodecahedron](https://digitalgemology.com/cuts/dodecahedron)
- [Icosahedron](https://digitalgemology.com/cuts/icosahedron)

## Measured, not described

A file is only as good as its geometry. Ours is constructed from angles and indices, never scanned, sculpted or guessed, and then checked the way light would check it.

### Exact geometry

Every stone is constructed exactly: flat facets meeting at clean edges and points. The meshes are exported from that construction, not the other way round.

### One source of truth

The cutting file, the tier table and the 3D model all come from the same geometry. There is no second drawing to drift out of step with the first.

### Checked by light

Each cut is traced through our own ray-tracing engine, so its light return is a measured figure you can reproduce, not an adjective. See it for yourself in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator).

## The 3D Gemstone Simulator

Build a digital stone and read its 3D gemstone report as you go. Choose any of our cuts in seven gemstones, set the four Cs, and watch it change under ten kinds of light, ray-traced live from the same geometry as the files. Free, in your browser.

[![The 3D Gemstone Simulator: the 3D gemstone report on the left, a ray-traced round brilliant in the centre, and the view and lighting controls on the right.](https://digitalgemology.com/img/simulator.webp?v=7456509d)](https://digitalgemology.com/tools/3d_gemstone_simulator)

### A report you can set

Carat, colour, clarity and cut grade are set in the report itself, and the stone follows.

### Measured, not guessed

At an Excellent cut grade, every proportion and angle comes from the cut’s own 3D model and cutting file.

### Light you can see

Ten lighting scenes, from a grading lamp to camera flashes, and the Light Return map at a switch.

### Fancy colours too

GIA’s hue circle and its fancy intensity grades, from Fancy Light to Fancy Deep.

[Open the 3D Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) A simulation, not a grading report.

---

# About Digital Gemology

Source: https://digitalgemology.com/about

Digital Gemology

# About Digital Gemology

The internet is full of gemstone files. Most come from anonymous designers, with one photo and no data. You can’t tell whether that round brilliant is really a round brilliant, or how it will perform in the stone you plan to cut.

We built Digital Gemology to fix that. Every design is constructed from its angles, cross-checked across every file format, and open to testing before you buy.

## Everything in one place

The pieces have always existed, just never together. One site has a beautiful viewer you can’t adjust. Another explains the four Cs clearly but never shows them to you. GemCad, GemRay, Gem Cut Studio and FreeCAD are superb tools, built for people who already know what they’re doing.

Our simulator brings those worlds into one place. Change the cut, the material, the colour or the lighting, and watch the stone respond. There is no wrong setting and nothing to break. If a choice confuses you, choose something else and you’re back on solid ground.

## What you’ll find

3D files for jewelry designers, renderers, game developers and digital artists, with GLB and FBX ready for real-time engines, and cutting files for faceters. A [cut library](https://digitalgemology.com/cuts/) spanning brilliants, jewelry cuts, historic cuts, our own house cuts and the Platonic solids. And the free [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator), where every one of them can be characterised and examined, for you to share your gemstone as an image with its own 3D gemstone report in .pdf.

[Who uses our files, and the programs that open them →](https://digitalgemology.com/about/files)

## How we check

Every design is built from its angles, and every file comes from that one construction: STEP, 3DM, STL, OBJ, GLB and FBX for 3D work, and for cutting, the .asc file with its tier CSV and printable diagram.

Then we try to prove it wrong. Each 3D format is opened by a different, independent reader: an industrial CAD kernel (Open CASCADE) for STEP, a separate parser (Assimp) for STL, OBJ, GLB and FBX, and Rhino’s own library for 3DM. Each one measures volume, facet count, closure and dimensions, and they all have to agree. Cutting files are rebuilt the way GemRay reads them and compared against the 3D model. Finally, every stone is ray-traced to measure how it handles light. If anything disagrees, the file doesn’t ship.

[How we measure: the formulas and constants behind every tool →](https://digitalgemology.com/about/how-we-measure)

## Who we are

Clint, our founder, was helping his partner start a jewelry business and wanted to understand diamonds properly, beyond the usual charts and descriptions. He went looking for accurate material and a simulator that could show what the four Cs really look like. When he couldn’t find one, he built it himself.

## See it for yourself

Open the simulator, load any cut and see how it handles light. Set the stone exactly the way you like it, then share it with a single link.

[Open the 3D Gemstone Simulator →](https://digitalgemology.com/tools/3d_gemstone_simulator)

---

# Who uses our files

Source: https://digitalgemology.com/about/files

[About](https://digitalgemology.com/about)

# Who uses our files

Every cut in our library comes as two products: a 3D model in six formats, and a cutting file for the faceting machine. This page is about who uses them, what is in each download, and which programs open every file.

Both are built from the same geometry, so the angles you cut are the angles you render.

## Who uses the 3D models

The models are exact faceted gemstones: flat facets, sharp edges and a closed, watertight solid, at real size in millimetres. The girdle is centred on the origin and the table faces up.

### Jewelry designers and CAD modellers

Place the stone in a ring, pendant or earring and build the setting around it: the seat, the prongs, the gallery. STEP gives CAD software an exact solid to measure and snap to. 3DM opens directly in Rhino and the jewelry programs built on it.

### Jewelry makers and casters

Print the stone in resin to test a setting before any metal is cast, or to check fit and proportion against a wax. STL and OBJ go straight into the slicer.

### Renderers and product visualisers

A gem only refracts correctly when its facets are truly flat. Assign a diamond or sapphire material in KeyShot or Blender and the model behaves like a stone, for catalogue images, product pages and animations.

### Game developers and real-time 3D

FBX and GLB load into Unity, Unreal Engine and Godot. The meshes are light (the T73 round brilliant is 118 triangles), so a crown full of jewels stays fast.

### Web, AR and online shops

GLB is the file for the web. It loads in three.js, Babylon.js and Google’s model-viewer, for product configurators and augmented reality.

### Digital artists and hobbyists

Render a stone for the fun of it, animate it, or print it large in clear resin as a display piece. A gem for a miniature, a costume or a school project is a single file away.

### Teachers and students

Gemmology and jewelry design are easier to learn from a stone you can turn. Count the facets, measure an angle in FreeCAD, and compare the cut with its entry in the [cut library](https://digitalgemology.com/cuts/).

## Who uses the cutting files

A cutting file is a faceting design: every facet’s angle and index, in cutting order. Each design names its index gear. Most use the common 96-tooth gear, and a few use 64 or 120.

### Amateur faceters

Most faceters cut for pleasure, at home or in a club. Print the diagram, fit the gear, and cut tier by tier. Try a new design in inexpensive material, such as quartz, before you cut valuable rough.

### Professional gem cutters

Cut rough to a proven design, with the angles taken straight from a checked 3D model rather than copied by hand.

### Gem designers

Open the .asc in GemCad or Gem Cut Studio to see how a cut is built. Change the angles for another material, or ray-trace it in GemRay to compare before you commit.

### Faceting students

Learn how tiers, meetpoints and cutting order fit together. The tier table lists every step in the order you cut it.

## File types and the programs that open them

Every download also includes LICENCE.txt, the licence for the files.

**Each file in the downloads, what it is, and programs that open it**

| File | What it is | Opens in |
| --- | --- | --- |
| 3D model |  |  |
| **STEP** | Exact faceted solid for CAD | FreeCAD, Rhino, Fusion, SolidWorks, Onshape, KeyShot |
| **3DM** | Rhino’s own format | Rhino, MatrixGold, KeyShot |
| **STL** | Triangle mesh, the standard for 3D printing | PrusaSlicer, Cura, Chitubox, Lychee, FreeCAD, Blender |
| **OBJ** | Mesh that almost every 3D program reads | Blender, ZBrush, Maya, Cinema 4D, Rhino, FreeCAD |
| **FBX** | For animation and game engines | Unity, Unreal Engine, Maya, 3ds Max, Blender |
| **GLB** | glTF in a single file, for the web, AR and real time | Blender, Godot, three.js, Babylon.js, model-viewer |
| Cutting file |  |  |
| **.asc** | The GemCad design as text: gear, refractive index, and every facet’s angle and index | GemCad, GemRay, Gem Cut Studio |
| **Tier table (.csv)** | Angle, index and cutting order for every tier | Excel, Google Sheets, LibreOffice Calc, Numbers |
| **Faceting diagram (.html)** | Printable diagram of the design | Any web browser. Print it, or save it as a PDF. |

## The programs

### GemCad

Robert Strickland’s faceting design program for Windows, and the standard format for sharing faceting designs. Open the .asc to see the design, print its diagram, or change the angles for another material.

### GemRay

Strickland’s companion ray tracer for Windows. It opens GemCad designs and shows how the finished stone will look, including how it darkens as it tilts, so you can tune the angles before you cut.

### Gem Cut Studio

A design and ray-tracing program for Windows and macOS. It opens GemCad .asc files directly, adds tilt-performance, light-path and yield tools, and can export a design as OBJ or STL.

### FreeCAD

Free, open-source CAD for Windows, macOS and Linux. It opens STEP as a true solid, using Open CASCADE, the same kernel we use to check every STEP file, so you can measure the stone and design a setting around it. It opens STL and OBJ too.

### Rhino

The CAD program behind much of the jewelry industry, for Windows and macOS. It opens 3DM natively, and STEP, STL, OBJ and FBX as well. Jewelry programs such as MatrixGold run inside it.

### Blender

Free, open-source 3D for modelling, rendering and animation. It opens GLB, FBX, OBJ and STL.

### KeyShot

A renderer widely used for jewelry images. It opens STEP, 3DM, OBJ and FBX.

No software yet? The faceting diagram opens in any browser, and the free [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) shows every cut in the library, in any material, without installing anything.

## Personal and professional use

The files are sold with a personal-use licence: for your own projects, stones you cut for yourself and gifts. Selling stones or jewelry, working for clients or using the files in a business needs a commercial licence. [Contact us](https://digitalgemology.com/contact) and we will help.

[Browse the cuts](https://digitalgemology.com/cuts/) [Open the 3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator)

---

# AI agents and the API

Source: https://digitalgemology.com/about/agents

[About](https://digitalgemology.com/about)

# AI agents and the API

MCP server and REST API, version 1.0.0 · free, no key

An AI assistant can search our cut library directly: every cut, its measured specifications, its brilliance, fire and scintillation in seven gemstones, and its prices and checkout links. Assistants connect to the MCP server; anything else can use the REST API. Both are free and read-only, and neither needs a key.

## MCP server

Endpoint: `https://digitalgemology.com/mcp`, over Streamable HTTP. It speaks MCP 2026-07-28 and the 2025 revisions before it. Add it to any assistant or editor that accepts a remote MCP server, for example:

```
{
  "mcpServers": {
    "digital-gemology": { "type": "http", "url": "https://digitalgemology.com/mcp" }
  }
}
```

**The tools the MCP server offers**

| Tool | What it returns |
| --- | --- |
| `search_cuts` | Search Digital Gemology's gem cuts and Platonic solids by name, style, shape or use (for example 'square step cut', 'round brilliant for moissanite', 'historic cushion', 'pear'). Returns each match with its page, facets, size, price and checkout links. Give a gemstone to add the cut's brilliance, fire and scintillation in that stone and to sort by them. |
| `get_cut` | Everything about one cut: what it is, measured specifications (facets, angles, depth, size, index gear), brilliance, fire and scintillation in all seven gemstones against the T73, the products with prices and checkout links, its questions and answers, and its page. |
| `best_cuts_for_gemstone` | The top ten brilliants and the top ten jewelry cuts in one gemstone, ranked by brilliance, fire and scintillation added together, with the stone's optical constants. |
| `cut_in_gemstone` | How one cut performs in one gemstone: its headline, eight measured scores against the T73 round brilliant in the same stone, and its pros and cons. For questions like 'is an oval a good cut for sapphire?'. |
| `list_gemstones` | The seven gemstones every cut is measured in, with refractive index, critical angle, dispersion, hardness and specific gravity, and the three best cuts of each kind. |

Its server card is at [/.well-known/mcp/server-card.json](https://digitalgemology.com/.well-known/mcp/server-card.json).

## REST API

The same data as JSON over plain HTTPS, described in [OpenAPI 3.1](https://digitalgemology.com/api/openapi.json) and listed in the [API catalog](https://digitalgemology.com/.well-known/api-catalog).

**REST API requests and what each returns**

| Request | Returns |
| --- | --- |
| `GET /api/cuts?q=square step cut` | The cuts that match. Add `gemstone=sapphire` for scores in that stone; narrow with `category`, `shape`, `cutting_files`, `sort` and `limit`. |
| `GET /api/cuts/asscher` | One cut in full. |
| `GET /api/gemstones` | The seven gemstones and their optical constants. |
| `GET /api/gemstones/sapphire` | The top ten brilliants and jewelry cuts in that stone. |
| `GET /api/gemstones/sapphire/oval` | One cut in one stone: eight scores, pros and cons. |
| `GET /api/health` | Whether the API is up. |

The whole library is also one file: [/api/catalog.json](https://digitalgemology.com/api/catalog.json).

## Pages for AI tools

- [llms.txt](https://digitalgemology.com/llms.txt) lists every page and what it covers; [llms-full.txt](https://digitalgemology.com/llms-full.txt) holds the full text of the main pages.
- Every page answers `Accept: text/markdown` with a clean Markdown copy, which is also at the page's address plus `.md`.
- An [agent skill](https://digitalgemology.com/.well-known/agent-skills/index.json) tells an assistant how to use all of this.
- [auth.md](https://digitalgemology.com/auth.md) confirms that none of it needs a sign-in, a key or a registration.

## Using the data

Quote it, and link the cut's page when you mention a cut: that page has the 3D viewer, the free simulator and the buy buttons. Search and AI answers are welcome; we ask that the site is not used to train AI models, as our [robots.txt](https://digitalgemology.com/robots.txt) says. The scores are out of 100 from our own ray-traced light census, with the T73 round brilliant as the benchmark: see [how we measure](https://digitalgemology.com/about/how-we-measure).

The files themselves come with a personal-use licence. For business use, or questions about the API, email [support@digitalgemology.com](mailto:support@digitalgemology.com).

---

# Contact

Source: https://digitalgemology.com/contact

Digital Gemology

# Contact

A question about a cut, a file or one of the tools? Email us or find us on Instagram. A person reads every message.

- ## [Email](mailto:support@digitalgemology.com)
  Orders, downloads, the file licence, custom cuts and anything else. We aim to respond within five working days.
  - [support@digitalgemology.com](mailto:support@digitalgemology.com)
- ## [Instagram](https://www.instagram.com/digitalgemology/)
  Follow our work, or send us a direct message.
  - [@digitalgemology](https://www.instagram.com/digitalgemology/)

## Help us answer quickly

Name the cut and the file format you are asking about. For a question about how a stone looks, share its link from the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator), so we see exactly what you see.

## Other addresses

**Privacy and security** [support@digitalgemology.com](mailto:support@digitalgemology.com), the same address, read by a person

**Post** Compliance Condo B.V., Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

Company details and every legal notice are on the [Legal notices](https://digitalgemology.com/legal/) page.

---

# Tools

Source: https://digitalgemology.com/tools/

Digital Gemology

# Tools

Free, in your browser, no sign-in.

Five ways into the same geometry. The 3D Gemstone Simulator shows you a stone. The Brightness & Tilt Analysis measures how it handles light, from the same measured models as the files we sell. The Cut Grading Tool reads a round brilliant’s proportions and grades its cut. The Cut Performance Wheel sets one cut’s brilliance, fire and scintillation against the T73 benchmark or any cut you choose. The Hearts & Arrows Scope shows a round brilliant’s arrows and hearts as its proportions and symmetry change.

- [![The 3D Gemstone Simulator: the 3D gemstone report on the left, a live round brilliant in the centre, and the view and lighting controls on the right.](https://digitalgemology.com/img/simulator-800.webp?v=def1b4ca) **3D Gemstone Simulator** Build a digital stone and read its 3D gemstone report as you go: 39 cuts in seven gemstones, the four Cs, ten kinds of light. Open the simulator](https://digitalgemology.com/tools/3d_gemstone_simulator)
- [![The Brightness & Tilt Analysis: T57 Round Brilliant in its four windows, Light Return, ISO, COS and SC2, above its brightness-against-tilt chart.](https://digitalgemology.com/img/brightness-tilt-800.webp?v=45d95b57) **Brightness & Tilt Analysis** See how much light a cut returns face-up, and how that holds as the stone tilts. Open the analysis](https://digitalgemology.com/tools/brightness-tilt-analysis)
- [![The Cut Grading Tool: T73 Round Brilliant in its four views, 3D view, crown plan, profile and light map, above its crown and pavilion angle chart and its cut grade, Excellent.](https://digitalgemology.com/img/cut-grading-tool-800.webp?v=4f11d4ce) **Cut Grading Tool** Set a round brilliant’s proportions and read its cut grade, with brilliance, fire and scintillation across every crown and pavilion angle. Open the grading tool](https://digitalgemology.com/tools/cut-grading-tool)
- [![The Cut Performance Wheel: DG-Vitruvio live in 3D beside its eight-spoke wheel, drawn against the T73 Round Brilliant in diamond.](https://digitalgemology.com/img/cut-performance-wheel-800.webp?v=71006665) **Cut Performance Wheel** Brilliance, fire, scintillation and five more measures for one cut, against the T73 benchmark or any cut you choose. Open the wheel](https://digitalgemology.com/tools/cut-performance-wheel)
- [![The Hearts & Arrows Scope: the T73 Round Brilliant in diamond, eight white arrows face-up beside eight white hearts face-down, with its proportion and symmetry sliders.](https://digitalgemology.com/img/hearts-and-arrows-scope-800.webp?v=7a76fb79) **Hearts & Arrows Scope** A round brilliant through a Hearts & Arrows viewer, arrows and hearts side by side, live as you change its proportions and symmetry. Open the scope](https://digitalgemology.com/tools/hearts-and-arrows-scope)

## Everything in one place

The pieces have always existed, just never together. One site has a beautiful viewer you can’t adjust. Another explains the four Cs clearly but never shows them to you. GemCad, GemRay, GemCut Studio and FreeCAD are superb tools, built for people who already know what they’re doing.

Our simulator brings those worlds into one place. Change the cut, the material, the colour or the lighting, and watch the stone respond. There is no wrong setting and nothing to break. If a choice confuses you, choose something else and you’re back on solid ground.

## The 3D Gemstone Simulator

Pick any of our 39 cuts, choose one of seven gemstones, and set its carat, colour and clarity in the report itself. The stone is drawn live from the same geometry as our 3D files and cutting files, under ten kinds of light from a grading lamp to a camera flash. Turn on the Light map to see where the light reaching your eye comes from, or the facet mesh to see the true facet edges.

When you have a stone you like, share it as an image or a link, or save its two-page report as a PDF.

[Open the 3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator)

## Brightness & Tilt Analysis

The simulator shows you a stone; the analysis puts a number on it. For 21 cuts whose geometry has been checked against their GemCad cutting files, it measures how much of the available light a cut returns face-up, for the whole stone and for the table alone, under four standard dome models: Light Return, ISO, COS and SC2.

Two settings change the answer, and you can move both. Head shadow is the part of the light overhead that your own head blocks. Tilt tips the stone under a fixed dome, the way it moves on a hand, and a chart follows each model from −30° to +30°. Put two cuts side by side and every figure is measured under identical conditions. Every set-up has its own link, so you can send exactly what you are looking at.

It is a model of the geometry, not an assessment of any real stone, and we say what it leaves out.

[Open the Brightness & Tilt Analysis](https://digitalgemology.com/tools/brightness-tilt-analysis)

## Cut Grading Tool

Move the table, crown and pavilion of a round brilliant and read its cut grade, with the one thing that holds it back. The chart maps every crown and pavilion combination on our T73 Round Brilliant: brilliance traced by our engine, fire and scintillation as models, and the Excellent proportions outlined for the table you set. Beside it, the stone is drawn four ways, down to a face-up light map.

It grades from proportions, for education: not a grading standard, and not a substitute for a laboratory report.

[Open the Cut Grading Tool](https://digitalgemology.com/tools/cut-grading-tool)

## Cut Performance Wheel

Pick a cut and a gemstone and see how the cut performs, eight ways at once: global performance on top, then brilliance, fire and scintillation, then spread, symmetry, shape-normalised return and how well it holds its light when tilted. Brilliance, fire, tilt and the global figure come from our face-up light census; scintillation, spread and symmetry are read from the cut’s facets and proportions. We measure every cut the same way, our house cuts included, and where the census cannot read a cut (a stone with no table, or the heart’s concave notch) the wheel says so rather than guess.

The wheel sets the stone against the T73 Round Brilliant in the same gemstone, or against any cut and gemstone you choose, and shows where it reaches further and where it falls short. One button swaps the two. Beside the wheel is the stone itself, live in 3D or face up as a light map.

[Open the Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel)

## Hearts & Arrows Scope

A Hearts & Arrows viewer shows a round brilliant’s optical symmetry: eight arrows face-up and eight hearts face-down, and only when every facet sits where it should. The scope traces both views live from the stone’s geometry. Change the pavilion, crown, table, stars and lower halves to see how the proportions shape the pattern, then twist the crown, tip or turn the pavilion mains, or move the culet off centre to see how quickly a small error breaks it. Each view gives its symmetry as one figure.

[Open the Hearts & Arrows Scope](https://digitalgemology.com/tools/hearts-and-arrows-scope)

## How they fit together

Start in the [simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) to see a stone and what changes it. When you want the number behind the picture, open the same cut in the [Brightness & Tilt Analysis](https://digitalgemology.com/tools/brightness-tilt-analysis) and read how much light it returns, and where it loses it. From the analysis, each cut links back to its page in the [cut library](https://digitalgemology.com/cuts/) and to the simulator. To see how one cut compares with the T73 benchmark, or with another cut, at a glance, open it in the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel).

---

# 3D Gemstone Simulator

Source: https://digitalgemology.com/tools/3d_gemstone_simulator

A live, ray-traced 3D gemstone simulator for 39 cuts and 5 Platonic solids in 7 gemstones: set carat, colour and clarity, turn the stone, and read its 3D gemstone report, measured from each cut's own 3D model.

Free, in the browser, no account. How it works, with the formulas: [How we measure](https://digitalgemology.com/about/how-we-measure/simulator).

## View

Turn

## Show

Facet mesh The true facet edges, drawn over the stone Light map Where the light that reaches your eye comes from

## Lighting

[Cut page](https://digitalgemology.com/cuts/)

---

# Brightness & Tilt Analysis

Source: https://digitalgemology.com/tools/brightness-tilt-analysis

[Tools](https://digitalgemology.com/tools/)

# Brightness & Tilt Analysis

Face-up brightness under ISO, COS, SC2 and Light Return, plus tilt response, for cuts verified against their GemCad files. Free, in your browser.

Free, in the browser, no account. How it works, with the formulas: [How we measure](https://digitalgemology.com/about/how-we-measure/brightness-tilt).

Face-up brightness under four standard dome models, for cuts verified against their cutting files

## The four windows and their settings

**Light Return**

**ISO**

**COS**

**SC2**

Cut

Compare two cuts

Material

Head shadow

How much of the dome overhead your head blocks, from the zenith down.

Tilt

The stone tips under a fixed dome, as it does on a hand.

## What the four windows show

One trace, read four ways: we follow light back from your eye, through the stone, to the part of the dome it came from. In ISO, COS and SC2, white is a facet returning light from the brightest part of that dome and black is a facet returning none.

- ### Light Return
  Where the light comes from:
  - Direct, 45° to 75° up
  - Indirect, below 45°
  - Contrast, above 75°, where your head is
  - Leakage
- ### ISO
  A dome lit evenly from every direction. The most forgiving test: it asks only how much light comes back, not from where.
- ### COS
  Bright overhead, fading to black at the horizon. Hardest on shallow cuts, which lean on low-angle light.
- ### SC2
  A ring of light peaking at 45°, dark overhead and at the horizon. Closest to how a stone is lit on a hand.

None of the four depends on scene lighting: they model the cut’s geometry, not any real stone. ISO, COS and SC2 follow the definitions in the GemRay user guide by Robert W. Strickland; the implementation is our own.

## Face-up brightness

Per cent of the dome’s available light returned into the viewing cone, averaged over the stone’s face-up image. Whole stone is the full outline; table only is the area inside the table facet, the figure that moves most between a good cut and a poor one. Leakage sits below the rule because it is not a light model: it counts the light paths that came back with nothing at all, so it does not move when you change the head shadow.

**Face-up brightness**

| Light model | Whole stone | Table only | vs T57 |
| --- | --- | --- | --- |
| ISO |  |  |  |
| COS |  |  |  |
| SC2 |  |  |  |
| Leakage light that never came back |  |  |  |

## Brightness against tilt

The stone tilts under a fixed dome, which is what happens on a hand. Solid lines are the whole stone, dashed lines the table only. A cut that holds its height across the sweep keeps working when it is not being looked at straight on.

### The chart as a table

## What we count

Brightness here is energy, not just direction. At the crown a Fresnel share of the light reflects straight off without entering the stone, and that light still reaches the eye: face-up, the table’s own reflection points at the zenith and lands in the head shadow, which is the dip you see near zero tilt. The rest goes through and pays Fresnel again on the way out. Internal bounces are left alone, because they are overwhelmingly total internal reflection, which loses nothing.

That choice is not cosmetic. Measured across these 21 cuts, leaving the energy out and counting direction alone reorders 8 of them on ISO, 7 on COS and 10 on SC2, while adding the exit face to the entry face reorders 0, 4 and 5. The model settles; counting direction alone is the outlier.

**What the model leaves out.** We do not count the energy lost at partial internal reflections. That is why these figures sit above those of a full physical simulation, and why the dip near zero tilt is shallower here than in GemRay.

## About this cut’s geometry

---

# Cut Grading Tool

Source: https://digitalgemology.com/tools/cut-grading-tool

Grade the cut of a round brilliant from its proportions, and see how crown and pavilion angles change its light. Free, in your browser.

Free, in the browser, no account. How it works, with the formulas: [How we measure](https://digitalgemology.com/about/how-we-measure/cut-grading-tool).

Round brilliant · adjust the proportions, read the grade

## The stone, the chart and its settings

- **3D view** Drag or arrow keys to turn
- **Crown plan** Star 50% · lower half 75%
- **Profile** Depth ≈ 61.6%
- **Light map** Direct 69% · Indirect 5% · Contrast 22% · Leakage 4% T73 Round Brilliant as cut: pavilion 40.75°, lower half 77%

Chart view

Excellent

cut grade

### Breakdown

| Component | Value | Excellent range | Ceiling |
| --- | --- | --- | --- |

The grids assume star 55%, lower half 80% and girdle 3.0%; other values can shift the zone in ways the caps do not capture.

Table size

Measured corner to corner, as a share of the diameter

Crown angle

Pavilion angle

### More proportions

Star length

Lower half length

Girdle thickness Medium

Girdle description

Thinnest to thickest; Auto reads it from the girdle thickness

Culet

Polish

Symmetry

Painting and digging

Show Very Good zone Full crown and pavilion range

Preset

Graded from proportions, for education: not a grading standard, and not a substitute for a laboratory report.

---

# Hearts & Arrows Scope

Source: https://digitalgemology.com/tools/hearts-and-arrows-scope

[Tools](https://digitalgemology.com/tools/)

# Hearts & Arrows Scope

See a round brilliant through a Hearts & Arrows viewer: the arrows face-up and the hearts face-down, live as you choose the cut and gemstone and change its proportions and symmetry. Free, in your browser.

Free, in the browser, no account. How it works, with the formulas: [How we measure](https://digitalgemology.com/about/how-we-measure/hearts-and-arrows-scope).

Round brilliants · the arrows face-up, the hearts face-down

## The stone through the scope

**Arrows** face-up Symmetry **100%**

**Hearts** face-down Symmetry **100%**

White disk Red reflector Lens port, or no light back

Symmetry is the share of the pattern where all sixteen halves match. The proportions shape the arrows and hearts; symmetry decides whether all eight are alike.

Traced from the stone's geometry, the same way for every gemstone: 2.5° lens port, white disk to 13.5°, red reflector to 90°.

Cut

Gemstone

Proportions

Pavilion angle

Crown angle

Table size

Corner to corner, as a share of the diameter.

Symmetry

Crown twist

The crown turned against the pavilion.

Main angles

Each main up to this much steeper or shallower.

Main spacing

Each main up to this much off its even spacing.

Culet off-centre

The culet off the axis, as a share of the diameter.

A simulation of the stone's geometry, not a grading report.

---

# Cut Performance Wheel

Source: https://digitalgemology.com/tools/cut-performance-wheel

[Tools](https://digitalgemology.com/tools/)

# Cut Performance Wheel

Compare how a cut performs: brilliance, fire, scintillation and five more measures, against the T73 benchmark or any other cut, in seven gemstones. Free, in your browser.

Free, in the browser, no account. How it works, with the formulas: [How we measure](https://digitalgemology.com/about/how-we-measure/performance-wheel).

Eight measures of how a cut performs, against the T73 benchmark or any cut you choose

## The stone and its performance wheel

The stone

Cut

Gemstone

Compared with

Compared with

Gemstone

DG-Vitruvio in diamond T73 Round Brilliant in diamond reaches further falls short Face-up light census, a different measure from the Cut Grading Tool; Spread and Shape-norm above 100 sit on the ring.

### Scores

Against the T73 Round Brilliant in diamond: ahead on 4, level on 4.

- Global 92, the comparison 90, difference +2
- Brilliance 93, the comparison 93, difference 0
- Fire 79, the comparison 78, difference +1
- Scintillation 98, the comparison 80, difference +18
- Spread 100, the comparison 100, difference 0
- Symmetry 100, the comparison 100, difference 0
- Shape-norm 100, the comparison 100, difference 0
- Tilt 93, the comparison 92, difference +1

A simulation, not a grading report.

---

# Gem cuts: 3D models and faceting diagrams

Source: https://digitalgemology.com/cuts/

Catalogue

# Gem cuts: 3D models and faceting diagrams

39 cuts and 5 Platonic solids · 6 model formats · GemCad cutting files · 36 cuts scored in 7 gemstones

Light maps are face-up, in diamond unless a cut was designed for another stone. Every picture is drawn from the cut's own model.

## Brilliants

Round brilliants cut to the proportions published in 1919, from the 73-facet round to our finest subdivision.

- [![T73 Round Brilliant Cut, 3D model](https://digitalgemology.com/img/cuts/t73-round-brilliant-3d.webp?v=ff2f3dac) ![T73 Round Brilliant Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/t73-round-brilliant-lightmap.webp?v=4cc82822) ![T73 Round Brilliant Cut, face-up facet map](https://digitalgemology.com/img/cuts/t73-round-brilliant-mesh.webp?v=fa48005b) **T73 Round Brilliant Cut** 73 facets · 3D + cutting files](https://digitalgemology.com/cuts/t73-round-brilliant)
- [![T105 Round Brilliant Cut, 3D model](https://digitalgemology.com/img/cuts/t105-round-brilliant-3d.webp?v=62eb9621) ![T105 Round Brilliant Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/t105-round-brilliant-lightmap.webp?v=193b76fb) ![T105 Round Brilliant Cut, face-up facet map](https://digitalgemology.com/img/cuts/t105-round-brilliant-mesh.webp?v=b10d3cb5) **T105 Round Brilliant Cut** 105 facets · 3D + cutting files](https://digitalgemology.com/cuts/t105-round-brilliant)
- [![DG-Vitruvio Cut, 3D model](https://digitalgemology.com/img/cuts/bl-vitruvio-3d.webp?v=f2127932) ![DG-Vitruvio Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/bl-vitruvio-lightmap.webp?v=4e420cd9) ![DG-Vitruvio Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-vitruvio-mesh.webp?v=d1ccd462) **DG-Vitruvio Cut** 265 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-vitruvio)
- [![DG-Anteros Cut, 3D model](https://digitalgemology.com/img/cuts/bl-anteros-3d.webp?v=5e956e40) ![DG-Anteros Cut, face-up Light Return map in moissanite](https://digitalgemology.com/img/cuts/bl-anteros-lightmap.webp?v=72539335) ![DG-Anteros Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-anteros-mesh.webp?v=0dae8520) in moissanite **DG-Anteros Cut** 73 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-anteros)

## Jewelry cuts

The shapes jewelers set every day: fancy brilliants, step cuts and traditional patterns.

### Elongated shapes

Longer than they are wide, from the oval and pear to the step-cut emerald and baguette.

- [![Baguette Cut, 3D model](https://digitalgemology.com/img/cuts/baguette-3d.webp?v=3c8e1b4e) ![Baguette Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/baguette-lightmap.webp?v=f7783bf2) ![Baguette Cut, face-up facet map](https://digitalgemology.com/img/cuts/baguette-mesh.webp?v=aef14ac4) **Baguette Cut** 21 facets · 3D + cutting files](https://digitalgemology.com/cuts/baguette)
- [![Emerald Cut, 3D model](https://digitalgemology.com/img/cuts/emerald-cut-3d.webp?v=5ce1f5ef) ![Emerald Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/emerald-cut-lightmap.webp?v=6a289e1e) ![Emerald Cut, face-up facet map](https://digitalgemology.com/img/cuts/emerald-cut-mesh.webp?v=377ea866) **Emerald Cut** 57 facets · 3D + cutting files](https://digitalgemology.com/cuts/emerald-cut)
- [![Marquise Cut, 3D model](https://digitalgemology.com/img/cuts/marquise-3d.webp?v=33d0209b) ![Marquise Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/marquise-lightmap.webp?v=19eafe60) ![Marquise Cut, face-up facet map](https://digitalgemology.com/img/cuts/marquise-mesh.webp?v=b3aed470) **Marquise Cut** 87 facets · 3D + cutting files](https://digitalgemology.com/cuts/marquise)
- [![Oval Cut, 3D model](https://digitalgemology.com/img/cuts/oval-3d.webp?v=f083ed32) ![Oval Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/oval-lightmap.webp?v=45358d5a) ![Oval Cut, face-up facet map](https://digitalgemology.com/img/cuts/oval-mesh.webp?v=f9956a28) **Oval Cut** 97 facets · 3D + cutting files](https://digitalgemology.com/cuts/oval)
- [![Pear Cut, 3D model](https://digitalgemology.com/img/cuts/pear-3d.webp?v=db23ad06) ![Pear Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/pear-lightmap.webp?v=d6b3cc8a) ![Pear Cut, face-up facet map](https://digitalgemology.com/img/cuts/pear-mesh.webp?v=61f54a4a) **Pear Cut** 64 facets · 3D + cutting files](https://digitalgemology.com/cuts/pear)
- [![Radiant Cut, 3D model](https://digitalgemology.com/img/cuts/radiant-3d.webp?v=70341719) ![Radiant Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/radiant-lightmap.webp?v=96ed68b5) ![Radiant Cut, face-up facet map](https://digitalgemology.com/img/cuts/radiant-mesh.webp?v=d1d6a10d) **Radiant Cut** 74 facets · 3D files](https://digitalgemology.com/cuts/radiant)
- [![Rectangle Cut, 3D model](https://digitalgemology.com/img/cuts/rectangle-3d.webp?v=492e73e7) ![Rectangle Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/rectangle-lightmap.webp?v=82ff9a66) ![Rectangle Cut, face-up facet map](https://digitalgemology.com/img/cuts/rectangle-mesh.webp?v=11233e12) **Rectangle Cut** 45 facets · 3D + cutting files](https://digitalgemology.com/cuts/rectangle)
- [![Teardrop Cut, 3D model](https://digitalgemology.com/img/cuts/teardrop-3d.webp?v=d88d176f) ![Teardrop Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/teardrop-lightmap.webp?v=3baa6741) ![Teardrop Cut, face-up facet map](https://digitalgemology.com/img/cuts/teardrop-mesh.webp?v=dfdbd32c) **Teardrop Cut** 74 facets · 3D + cutting files](https://digitalgemology.com/cuts/teardrop)

### Square shapes

As long as they are wide, from the princess and cushion to the step-cut Asscher.

- [![Asscher Cut, 3D model](https://digitalgemology.com/img/cuts/asscher-3d.webp?v=d0927685) ![Asscher Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/asscher-lightmap.webp?v=c72a6e99) ![Asscher Cut, face-up facet map](https://digitalgemology.com/img/cuts/asscher-mesh.webp?v=96630e86) **Asscher Cut** 58 facets · 3D + cutting files](https://digitalgemology.com/cuts/asscher)
- [![Cushion Cut, 3D model](https://digitalgemology.com/img/cuts/cushion-3d.webp?v=0f4b5011) ![Cushion Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/cushion-lightmap.webp?v=816fafe3) ![Cushion Cut, face-up facet map](https://digitalgemology.com/img/cuts/cushion-mesh.webp?v=16e78fc8) **Cushion Cut** 85 facets · 3D + cutting files](https://digitalgemology.com/cuts/cushion)
- [![Emerald Square Cut, 3D model](https://digitalgemology.com/img/cuts/emerald-square-3d.webp?v=8534b72e) ![Emerald Square Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/emerald-square-lightmap.webp?v=38eeaf40) ![Emerald Square Cut, face-up facet map](https://digitalgemology.com/img/cuts/emerald-square-mesh.webp?v=c86aae9c) **Emerald Square Cut** 49 facets · 3D + cutting files](https://digitalgemology.com/cuts/emerald-square)
- [![Princess Cut, 3D model](https://digitalgemology.com/img/cuts/princess-3d.webp?v=d2858dd6) ![Princess Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/princess-lightmap.webp?v=f48ab88b) ![Princess Cut, face-up facet map](https://digitalgemology.com/img/cuts/princess-mesh.webp?v=6da0e7de) **Princess Cut** 93 facets · 3D + cutting files](https://digitalgemology.com/cuts/princess)
- [![Radiant Square Cut, 3D model](https://digitalgemology.com/img/cuts/radiant-square-3d.webp?v=f5ce705a) ![Radiant Square Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/radiant-square-lightmap.webp?v=34557fc3) ![Radiant Square Cut, face-up facet map](https://digitalgemology.com/img/cuts/radiant-square-mesh.webp?v=1468bf91) **Radiant Square Cut** 49 facets · 3D + cutting files](https://digitalgemology.com/cuts/radiant-square)
- [![Square Cut, 3D model](https://digitalgemology.com/img/cuts/square-3d.webp?v=b43575c6) ![Square Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/square-lightmap.webp?v=c045c29d) ![Square Cut, face-up facet map](https://digitalgemology.com/img/cuts/square-mesh.webp?v=e1a3807a) **Square Cut** 69 facets · 3D + cutting files](https://digitalgemology.com/cuts/square)

### Triangular shapes

Three-sided stones, with straight sides or softly curved ones.

- [![Triangle Cut, 3D model](https://digitalgemology.com/img/cuts/triangle-3d.webp?v=fc13cafd) ![Triangle Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/triangle-lightmap.webp?v=d9335ca9) ![Triangle Cut, face-up facet map](https://digitalgemology.com/img/cuts/triangle-mesh.webp?v=214e7d04) **Triangle Cut** 19 facets · 3D + cutting files](https://digitalgemology.com/cuts/triangle)
- [![Trilliant Cut, 3D model](https://digitalgemology.com/img/cuts/trilliant-3d.webp?v=9923e23f) ![Trilliant Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/trilliant-lightmap.webp?v=ff713b9c) ![Trilliant Cut, face-up facet map](https://digitalgemology.com/img/cuts/trilliant-mesh.webp?v=4ceac0a8) **Trilliant Cut** 72 facets · 3D + cutting files](https://digitalgemology.com/cuts/trilliant)
- [![Trillion Cut, 3D model](https://digitalgemology.com/img/cuts/trillion-3d.webp?v=865e9780) ![Trillion Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/trillion-lightmap.webp?v=81aa38a2) ![Trillion Cut, face-up facet map](https://digitalgemology.com/img/cuts/trillion-mesh.webp?v=8097daae) **Trillion Cut** 73 facets · 3D + cutting files](https://digitalgemology.com/cuts/trillion)

### Other shapes

The heart, the regular hexagon and octagon, and the sixteen-sided Portuguese Bird's Nest.

- [![Heart Cut, 3D model](https://digitalgemology.com/img/cuts/heart-3d.webp?v=ecffca4a) ![Heart Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/heart-lightmap.webp?v=28dd99f2) ![Heart Cut, face-up facet map](https://digitalgemology.com/img/cuts/heart-mesh.webp?v=a08a1592) **Heart Cut** 114 facets · 3D files](https://digitalgemology.com/cuts/heart)
- [![Hexagon Cut, 3D model](https://digitalgemology.com/img/cuts/hexagon-3d.webp?v=5a0206fc) ![Hexagon Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/hexagon-lightmap.webp?v=7a04e083) ![Hexagon Cut, face-up facet map](https://digitalgemology.com/img/cuts/hexagon-mesh.webp?v=8604f2c6) **Hexagon Cut** 37 facets · 3D + cutting files](https://digitalgemology.com/cuts/hexagon)
- [![Octagon Cut, 3D model](https://digitalgemology.com/img/cuts/octagon-3d.webp?v=75207f45) ![Octagon Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/octagon-lightmap.webp?v=9807ac38) ![Octagon Cut, face-up facet map](https://digitalgemology.com/img/cuts/octagon-mesh.webp?v=dd4ebca0) **Octagon Cut** 49 facets · 3D + cutting files](https://digitalgemology.com/cuts/octagon)
- [![Portuguese Bird's Nest Cut, 3D model](https://digitalgemology.com/img/cuts/portuguese-birds-nest-3d.webp?v=5a249272) ![Portuguese Bird's Nest Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/portuguese-birds-nest-lightmap.webp?v=9049e03d) ![Portuguese Bird's Nest Cut, face-up facet map](https://digitalgemology.com/img/cuts/portuguese-birds-nest-mesh.webp?v=eae6c5a3) **Portuguese Bird's Nest Cut** 177 facets · 3D + cutting files](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Historic cuts

The evolution of the brilliant in order, from the single cut to the 1919 round, rebuilt from primary sources.

- [![Old Single Cut, 3D model](https://digitalgemology.com/img/cuts/old-single-3d.webp?v=607caf77) ![Old Single Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/old-single-lightmap.webp?v=8d2eba3f) ![Old Single Cut, face-up facet map](https://digitalgemology.com/img/cuts/old-single-mesh.webp?v=f3245f13) **Old Single Cut** 26 facets · 3D + cutting files](https://digitalgemology.com/cuts/old-single)
- [![Mazarin Cut, 3D model](https://digitalgemology.com/img/cuts/mazarin-3d.webp?v=e004e454) ![Mazarin Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/mazarin-lightmap.webp?v=c498d086) ![Mazarin Cut, face-up facet map](https://digitalgemology.com/img/cuts/mazarin-mesh.webp?v=204e5d46) **Mazarin Cut** 42 facets · 3D + cutting files](https://digitalgemology.com/cuts/mazarin)
- [![Peruzzi Cut, 3D model](https://digitalgemology.com/img/cuts/peruzzi-3d.webp?v=251a13fd) ![Peruzzi Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/peruzzi-lightmap.webp?v=5c39c6a5) ![Peruzzi Cut, face-up facet map](https://digitalgemology.com/img/cuts/peruzzi-mesh.webp?v=523e202f) **Peruzzi Cut** 74 facets · 3D + cutting files](https://digitalgemology.com/cuts/peruzzi)
- [![Old Mine Cut, 3D model](https://digitalgemology.com/img/cuts/old-mine-3d.webp?v=23a92f06) ![Old Mine Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/old-mine-lightmap.webp?v=c3082dfe) ![Old Mine Cut, face-up facet map](https://digitalgemology.com/img/cuts/old-mine-mesh.webp?v=749ddd4b) **Old Mine Cut** 74 facets · 3D + cutting files](https://digitalgemology.com/cuts/old-mine)
- [![Old European Cut, 3D model](https://digitalgemology.com/img/cuts/old-european-3d.webp?v=e875d778) ![Old European Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/old-european-lightmap.webp?v=fed5f185) ![Old European Cut, face-up facet map](https://digitalgemology.com/img/cuts/old-european-mesh.webp?v=c47bdff0) **Old European Cut** 74 facets · 3D + cutting files](https://digitalgemology.com/cuts/old-european)
- [![T57 Round Brilliant Cut, 3D model](https://digitalgemology.com/img/cuts/t57-round-brilliant-3d.webp?v=b09e9835) ![T57 Round Brilliant Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/t57-round-brilliant-lightmap.webp?v=d6e1141d) ![T57 Round Brilliant Cut, face-up facet map](https://digitalgemology.com/img/cuts/t57-round-brilliant-mesh.webp?v=48a8d69f) **T57 Round Brilliant Cut** 57 facets · 3D + cutting files](https://digitalgemology.com/cuts/t57-round-brilliant)

## House cuts

Our own designs, grouped by outline like the jewelry cuts. Each is drawn for a particular gemstone, and its page says which.

### Round shapes

Rounds on our own facet plans, eight-fold and twelve-fold, for diamond and moissanite.

- [![DG-M5 Cut, 3D model](https://digitalgemology.com/img/cuts/bl-m5-3d.webp?v=629c5279) ![DG-M5 Cut, face-up Light Return map in moissanite](https://digitalgemology.com/img/cuts/bl-m5-lightmap.webp?v=ad790401) ![DG-M5 Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-m5-mesh.webp?v=5fb529f7) in moissanite **DG-M5 Cut** 85 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-m5)
- [![DG-Miliano Cut, 3D model](https://digitalgemology.com/img/cuts/bl-miliano-3d.webp?v=02f64181) ![DG-Miliano Cut, face-up Light Return map in moissanite](https://digitalgemology.com/img/cuts/bl-miliano-lightmap.webp?v=56467a46) ![DG-Miliano Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-miliano-mesh.webp?v=5d407798) in moissanite **DG-Miliano Cut** 177 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-miliano)
- [![DG-Rafaello Cut, 3D model](https://digitalgemology.com/img/cuts/bl-rafaello-3d.webp?v=445ad1d1) ![DG-Rafaello Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/bl-rafaello-lightmap.webp?v=74279a59) ![DG-Rafaello Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-rafaello-mesh.webp?v=5f8cb5c6) **DG-Rafaello Cut** 145 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-rafaello)

### Elongated shapes

Longer than they are wide: a stepped hexagon finished the same on both faces, and a deep marquise that shows the bow-tie.

- [![DG-Bowtie Cut, 3D model](https://digitalgemology.com/img/cuts/bl-bowtie-3d.webp?v=6e35b606) ![DG-Bowtie Cut, face-up Light Return map in diamond](https://digitalgemology.com/img/cuts/bl-bowtie-lightmap.webp?v=e213d3c4) ![DG-Bowtie Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-bowtie-mesh.webp?v=65a600cb) **DG-Bowtie Cut** 87 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-bowtie)
- [![DG-Elongated Hexagon Cut, 3D model](https://digitalgemology.com/img/cuts/bl-elongated-hexagon-3d.webp?v=1984d278) ![DG-Elongated Hexagon Cut, face-up Light Return map in emerald](https://digitalgemology.com/img/cuts/bl-elongated-hexagon-lightmap.webp?v=58032132) ![DG-Elongated Hexagon Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-elongated-hexagon-mesh.webp?v=f604f8e3) in emerald **DG-Elongated Hexagon Cut** 32 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-elongated-hexagon)

### Other shapes

Regular outlines and unusual forms: an eight-fold kite, a faceted cabochon and a hexagonal double point.

- [![DG-Cabochon Cut, 3D model](https://digitalgemology.com/img/cuts/bl-cabochon-3d.webp?v=80147332) ![DG-Cabochon Cut, face-up Light Return map in ruby](https://digitalgemology.com/img/cuts/bl-cabochon-lightmap.webp?v=e5fa5eed) ![DG-Cabochon Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-cabochon-mesh.webp?v=8282d99b) in ruby **DG-Cabochon Cut** 76 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-cabochon)
- [![DG-Octagonal Kite Cut, 3D model](https://digitalgemology.com/img/cuts/bl-octagonal-kite-3d.webp?v=6262d0d8) ![DG-Octagonal Kite Cut, face-up Light Return map in emerald](https://digitalgemology.com/img/cuts/bl-octagonal-kite-lightmap.webp?v=65ad3d03) ![DG-Octagonal Kite Cut, face-up facet map](https://digitalgemology.com/img/cuts/bl-octagonal-kite-mesh.webp?v=1cc6e976) in emerald **DG-Octagonal Kite Cut** 41 facets · 3D + cutting files](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [![Elongated Hexagonal Bipyramid Cut, 3D model](https://digitalgemology.com/img/cuts/elongated-hexagonal-bipyramid-3d.webp?v=fb61b4e8) ![Elongated Hexagonal Bipyramid Cut, face-up Light Return map in emerald](https://digitalgemology.com/img/cuts/elongated-hexagonal-bipyramid-lightmap.webp?v=968e1e0f) ![Elongated Hexagonal Bipyramid Cut, face-up facet map](https://digitalgemology.com/img/cuts/elongated-hexagonal-bipyramid-mesh.webp?v=ec1c169c) in emerald **Elongated Hexagonal Bipyramid Cut** 30 facets · 3D + cutting files](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Platonic solids

The five regular solids, every face the same regular polygon and every corner alike. They are sold as 3D models only and share one circumsphere, so the set nests together at true relative size. A solid has no face-up, so it shows in 3D in every view.

- [![Tetrahedron, 3D model](https://digitalgemology.com/img/cuts/tetrahedron-3d.webp?v=62a9df96) ![Tetrahedron, 3D mesh](https://digitalgemology.com/img/cuts/tetrahedron-mesh.webp?v=37b626f1) **Tetrahedron** 4 faces · 3D files](https://digitalgemology.com/cuts/tetrahedron)
- [![Hexahedron, 3D model](https://digitalgemology.com/img/cuts/hexahedron-3d.webp?v=4b096f76) ![Hexahedron, 3D mesh](https://digitalgemology.com/img/cuts/hexahedron-mesh.webp?v=2512a964) **Hexahedron** Cube · 6 faces · 3D files](https://digitalgemology.com/cuts/hexahedron)
- [![Octahedron, 3D model](https://digitalgemology.com/img/cuts/octahedron-3d.webp?v=b62d84fe) ![Octahedron, 3D mesh](https://digitalgemology.com/img/cuts/octahedron-mesh.webp?v=327e058a) **Octahedron** 8 faces · 3D files](https://digitalgemology.com/cuts/octahedron)
- [![Dodecahedron, 3D model](https://digitalgemology.com/img/cuts/dodecahedron-3d.webp?v=e52ffe4d) ![Dodecahedron, 3D mesh](https://digitalgemology.com/img/cuts/dodecahedron-mesh.webp?v=6af5da00) **Dodecahedron** 12 faces · 3D files](https://digitalgemology.com/cuts/dodecahedron)
- [![Icosahedron, 3D model](https://digitalgemology.com/img/cuts/icosahedron-3d.webp?v=0d014883) ![Icosahedron, 3D mesh](https://digitalgemology.com/img/cuts/icosahedron-mesh.webp?v=b3ee2c70) **Icosahedron** 20 faces · 3D files](https://digitalgemology.com/cuts/icosahedron)

---

# T73 Round Brilliant Cut

Source: https://digitalgemology.com/cuts/t73-round-brilliant
Buy: [T73 Round Brilliant Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/ef4dd7c5-5809-4458-9eff-1beb80ed52c0) · [T73 Round Brilliant Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/44ee6a27-8125-4940-b84c-6c368746df74)

[Cuts](https://digitalgemology.com/cuts/) · [Brilliants](https://digitalgemology.com/cuts/#brilliants)

# T73 Round Brilliant Cut

3D model and faceting diagram · 73 facets · 8.15 x 8.15 mm

The same 1919 round brilliant proportions as the T57, carrying a sixteen-facet girdle band: 57 facets plus 16 girdle facets. This is how most round brilliants are finished today.

[Get the files](https://digitalgemology.com/cuts/t73-round-brilliant#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t73-round-brilliant)

## About the T73 Round Brilliant Cut

The same 1919 round brilliant proportions as the T57, carrying a sixteen-facet girdle band: 57 facets plus 16 girdle facets. This is how most round brilliants are finished today.

Choose it when you want the published proportions with a girdle a setter can seat and a polisher would recognise.

## T73 Round Brilliant Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Brilliants

**Facets** 73 planar facets (57 + 16 girdles = 73)

**Outline** Length to width 1.000

**Total depth** 61.7% of width

**Crown angle (main)** 34.5°

**Pavilion angle (main)** 40.8°

**Reference size** 8.15 x 8.15 x 5.03 mm at 1.99 ct in diamond

**Volume** 113.15 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.009° of the 3D model (average under 0.001°); girdle facets within 0.016°

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the T73 Round Brilliant Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the T73 Round Brilliant Cut*

Profile: 61.7% total depth.

![Light Return map of the T73 Round Brilliant Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/t73-round-brilliant-lightmap.webp?v=4cc82822)

Light Return map of the T73 Round Brilliant Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the T73 Round Brilliant Cut performs in seven gemstones

**The T73 Round Brilliant Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 98 for brilliance and 87 for fire.** Its fire peaks in moissanite, at 97. In diamond it scores 93 for brilliance and 78 for fire. It is the benchmark every cut is set against on the Cut Performance Wheel. Its scintillation, 80, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the T73 Round Brilliant Cut in seven gemstones, out of 100**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 93 | 78 | 80 |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 86 | 97 | 80 |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 98 | 87 | 80 |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 94 | 37 | 80 |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 94 | 37 | 80 |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 78 | 39 | 80 |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 72 | 36 | 80 |

Score out of 100 **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel), where you can set the T73 Round Brilliant Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.99 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.82 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.28 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.26 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.26 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.54 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.50 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t73-round-brilliant).

## Available in…

The T73 Round Brilliant stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/t73-round-brilliant)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/t73-round-brilliant)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/t73-round-brilliant)
- [Ruby](https://digitalgemology.com/gemstones/ruby/t73-round-brilliant)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/t73-round-brilliant)
- [Emerald](https://digitalgemology.com/gemstones/emerald/t73-round-brilliant)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/t73-round-brilliant)

## Grade the T73 Round Brilliant Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t73-round-brilliant)

## T73 Round Brilliant Cut: questions

### What files come with the T73 Round Brilliant Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 73 planar facets.

### Is there a faceting diagram for the T73 Round Brilliant Cut?

Yes. The cutting files contain a GemCad .asc design (57 + 16 girdles = 73 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the T73 Round Brilliant Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the T73 Round Brilliant Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.009° of the 3D model (average under 0.001°); girdle facets within 0.016°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the T73 Round Brilliant Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 5.03 mm, which is 1.99 ct in diamond. The same size weighs 1.82 ct in moissanite, 3.28 ct in cubic zirconia, 2.26 ct in ruby, 2.26 ct in sapphire, 1.54 ct in emerald, 1.50 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the T73 Round Brilliant Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More brilliants

- [T105 Round Brilliant Cut](https://digitalgemology.com/cuts/t105-round-brilliant)
- [DG-Vitruvio Cut](https://digitalgemology.com/cuts/dg-vitruvio)
- [DG-Anteros Cut](https://digitalgemology.com/cuts/dg-anteros)

## Get the T73 Round Brilliant Cut files

*6 formats* *Millimetres* *Watertight*

### T73 Round Brilliant Cut 3D files

The T73 Round Brilliant Cut as exact geometry: 73 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/ef4dd7c5-5809-4458-9eff-1beb80ed52c0)

*GemCad* *96 index*

### T73 Round Brilliant Cut cutting files

The T73 Round Brilliant Cut as a faceting design: 57 + 16 girdles = 73 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/44ee6a27-8125-4940-b84c-6c368746df74)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# T105 Round Brilliant Cut

Source: https://digitalgemology.com/cuts/t105-round-brilliant
Buy: [T105 Round Brilliant Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/44e9f0a8-a8b8-4d78-b1a5-d837fbd8c845) · [T105 Round Brilliant Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/98e0f644-c9d1-48ba-aeab-d5a37f506f70)

[Cuts](https://digitalgemology.com/cuts/) · [Brilliants](https://digitalgemology.com/cuts/#brilliants)

# T105 Round Brilliant Cut

3D model and faceting diagram · 105 facets · 8.19 x 8.19 mm

The 1919 round brilliant with 48 more facets and no girdle band: like the T57, its crown and pavilion meet at a knife edge. The main facets keep their angles; the added facets are cut a little steeper and divide the plan more finely.

[Get the files](https://digitalgemology.com/cuts/t105-round-brilliant#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t105-round-brilliant)

## About the T105 Round Brilliant Cut

The 1919 round brilliant with 48 more facets and no girdle band: like the T57, its crown and pavilion meet at a knife edge. The main facets keep their angles; the added facets are cut a little steeper and divide the plan more finely.

Eight star halves are added to the crown. On the pavilion, the T57's single row of lower halves becomes three, with eight pavilion star halves at the girdle. The knife edge needs protecting in a setting; choose the T73 for a girdle a setter can seat.

## T105 Round Brilliant Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Brilliants

**Facets** 105 planar facets

**Outline** Length to width 1.000

**Total depth** 59.3% of width

**Crown angle (main)** 34.5°

**Pavilion angle (main)** 40.8°

**Reference size** 8.19 x 8.19 x 4.86 mm at 1.84 ct in diamond

**Volume** 104.32 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 4 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the T105 Round Brilliant Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the T105 Round Brilliant Cut*

Profile: 59.3% total depth.

![Light Return map of the T105 Round Brilliant Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/t105-round-brilliant-lightmap.webp?v=193b76fb)

Light Return map of the T105 Round Brilliant Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the T105 Round Brilliant Cut performs in seven gemstones

**The T105 Round Brilliant Cut performs best in moissanite (86 for brilliance, 97 for fire) and cubic zirconia (98 for brilliance, 85 for fire), which tie on brilliance and fire together.** In diamond it scores 95 for brilliance and 77 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 90, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the T105 Round Brilliant Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 95 (T73 benchmark 93) | 77 (T73 benchmark 78) | 90 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 86 (T73 benchmark 86) | 97 (T73 benchmark 97) | 90 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 98 (T73 benchmark 98) | 85 (T73 benchmark 87) | 90 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 90 (T73 benchmark 94) | 36 (T73 benchmark 37) | 90 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 90 (T73 benchmark 94) | 36 (T73 benchmark 37) | 90 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 71 (T73 benchmark 78) | 34 (T73 benchmark 39) | 90 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 65 (T73 benchmark 72) | 31 (T73 benchmark 36) | 90 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=t105-round-brilliant&stone=moissanite), where you can set the T105 Round Brilliant Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.84 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.68 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.03 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.09 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.09 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.42 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.38 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t105-round-brilliant).

## Available in…

The T105 Round Brilliant stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/t105-round-brilliant)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/t105-round-brilliant)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/t105-round-brilliant)
- [Ruby](https://digitalgemology.com/gemstones/ruby/t105-round-brilliant)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/t105-round-brilliant)
- [Emerald](https://digitalgemology.com/gemstones/emerald/t105-round-brilliant)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/t105-round-brilliant)

## Grade the T105 Round Brilliant Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t105-round-brilliant)

## T105 Round Brilliant Cut: questions

### What files come with the T105 Round Brilliant Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 105 planar facets.

### Is there a faceting diagram for the T105 Round Brilliant Cut?

Yes. The cutting files contain a GemCad .asc design (105 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the T105 Round Brilliant Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the T105 Round Brilliant Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the T105 Round Brilliant Cut model, and what does it weigh?

The model measures 8.19 x 8.19 x 4.86 mm, which is 1.84 ct in diamond. The same size weighs 1.68 ct in moissanite, 3.03 ct in cubic zirconia, 2.09 ct in ruby, 2.09 ct in sapphire, 1.42 ct in emerald, 1.38 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the T105 Round Brilliant Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More brilliants

- [T73 Round Brilliant Cut](https://digitalgemology.com/cuts/t73-round-brilliant)
- [DG-Vitruvio Cut](https://digitalgemology.com/cuts/dg-vitruvio)
- [DG-Anteros Cut](https://digitalgemology.com/cuts/dg-anteros)

## Get the T105 Round Brilliant Cut files

*6 formats* *Millimetres* *Watertight*

### T105 Round Brilliant Cut 3D files

The T105 Round Brilliant Cut as exact geometry: 105 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/44e9f0a8-a8b8-4d78-b1a5-d837fbd8c845)

*GemCad* *96 index*

### T105 Round Brilliant Cut cutting files

The T105 Round Brilliant Cut as a faceting design: 105 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/98e0f644-c9d1-48ba-aeab-d5a37f506f70)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Vitruvio Cut

Source: https://digitalgemology.com/cuts/dg-vitruvio
Buy: [DG-Vitruvio Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8b7e2e3a-e008-4a2f-9bbe-a04552795fc0) · [DG-Vitruvio Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/75e6d066-b6ce-4a13-8585-55ab3b6188fe)

[Cuts](https://digitalgemology.com/cuts/) · [Brilliants](https://digitalgemology.com/cuts/#brilliants)

# DG-Vitruvio Cut

3D model and faceting diagram · 265 facets · 8.15 x 8.15 mm

DG-Vitruvio is the 1919 round brilliant plan at its finest subdivision: the 57 facets of the T-series, with the girdle resolved into a band of 96 facets. The crown and pavilion keep the classic proportions; all the extra work sits at the girdle.

[Get the files](https://digitalgemology.com/cuts/dg-vitruvio#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-vitruvio)

## About the DG-Vitruvio Cut

DG-Vitruvio is the 1919 round brilliant plan at its finest subdivision: the 57 facets of the T-series, with the girdle resolved into a band of 96 facets. The crown and pavilion keep the classic proportions; all the extra work sits at the girdle.

It is our own development of the T-series, for renders and settings where the outline should read as smooth as the stone is bright.

## DG-Vitruvio Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Brilliants

**Facets** 57 + 96 girdles = 153 facets in the cutting design; the 3D model has 265 planar faces

**Outline** Length to width 1.000

**Total depth** 61.9% of width

**Crown angle (main)** 34.5°

**Pavilion angle (main)** 40.8°

**Reference size** 8.15 x 8.15 x 5.05 mm at 2.01 ct in diamond

**Volume** 114.12 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°); the girdle band differs by up to 1.6°, because the 3D model's girdle is more finely divided than the cutting file's

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Vitruvio Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Vitruvio Cut*

Profile: 61.9% total depth.

![Light Return map of the DG-Vitruvio Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-vitruvio-lightmap.webp?v=4e420cd9)

Light Return map of the DG-Vitruvio Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the DG-Vitruvio Cut performs in seven gemstones

**The DG-Vitruvio Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 98 for brilliance and 87 for fire.** Its fire peaks in moissanite, at 97. In diamond it scores 93 for brilliance and 79 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 98, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Vitruvio Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 93 (T73 benchmark 93) | 79 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 86 (T73 benchmark 86) | 97 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 98 (T73 benchmark 98) | 87 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 94 (T73 benchmark 94) | 37 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 94 (T73 benchmark 94) | 37 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 78 (T73 benchmark 78) | 40 (T73 benchmark 39) | 98 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 71 (T73 benchmark 72) | 36 (T73 benchmark 36) | 98 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-vitruvio&stone=cubic-zirconia), where you can set the DG-Vitruvio Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.01 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.84 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.31 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.28 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.28 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-vitruvio).

## Available in…

The DG-Vitruvio stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-vitruvio)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-vitruvio)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-vitruvio)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-vitruvio)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-vitruvio)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-vitruvio)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-vitruvio)

## Grade the DG-Vitruvio Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-vitruvio)

## DG-Vitruvio Cut: questions

### What files come with the DG-Vitruvio Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 265 planar facets.

### Is there a faceting diagram for the DG-Vitruvio Cut?

Yes. The cutting files contain a GemCad .asc design (57 + 96 girdles = 153 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Vitruvio Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the DG-Vitruvio Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°); the girdle band differs by up to 1.6°, because the 3D model's girdle is more finely divided than the cutting file's. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Vitruvio Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 5.05 mm, which is 2.01 ct in diamond. The same size weighs 1.84 ct in moissanite, 3.31 ct in cubic zirconia, 2.28 ct in ruby, 2.28 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Vitruvio Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More brilliants

- [T73 Round Brilliant Cut](https://digitalgemology.com/cuts/t73-round-brilliant)
- [T105 Round Brilliant Cut](https://digitalgemology.com/cuts/t105-round-brilliant)
- [DG-Anteros Cut](https://digitalgemology.com/cuts/dg-anteros)

## Get the DG-Vitruvio Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Vitruvio Cut 3D files

The DG-Vitruvio Cut as exact geometry: 265 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8b7e2e3a-e008-4a2f-9bbe-a04552795fc0)

*GemCad* *96 index*

### DG-Vitruvio Cut cutting files

The DG-Vitruvio Cut as a faceting design: 57 + 96 girdles = 153 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/75e6d066-b6ce-4a13-8585-55ab3b6188fe)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Anteros Cut

Source: https://digitalgemology.com/cuts/dg-anteros
Buy: [DG-Anteros Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/2e4ad6fb-622c-4a41-b045-eab18e4b961d) · [DG-Anteros Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/54188a37-b56f-4120-a93c-c783b2e18a49)

[Cuts](https://digitalgemology.com/cuts/) · [Brilliants](https://digitalgemology.com/cuts/#brilliants)

# DG-Anteros Cut

3D model and faceting diagram · 73 facets · 8.15 x 8.15 mm

DG-Anteros is a 73-facet round brilliant re-solved for moissanite. It keeps the T73's architecture and 53% table, eases the crown and shifts the pavilion cone, because moissanite bends light more strongly than the diamond the 1919 proportions were worked out for.

[Get the files](https://digitalgemology.com/cuts/dg-anteros#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-anteros&stone=moissanite)

## About the DG-Anteros Cut

DG-Anteros is a 73-facet round brilliant re-solved for moissanite. It keeps the T73's architecture and 53% table, eases the crown and shifts the pavilion cone, because moissanite bends light more strongly than the diamond the 1919 proportions were worked out for.

In moissanite it forms crisp arrows face-up and eight clean hearts face-down, which a diamond-proportioned round does not. It is matched to its material rather than better in general: in diamond its arrows turn dark and its hearts flood. The comparison is on the gemstones page.

## Why DG-Anteros: a round cut for moissanite

Most moissanite is cut to diamond proportions. But moissanite bends light more strongly than diamond, with a refractive index of about 2.65 against diamond's 2.42, so angles worked out for diamond send its light back at the wrong angles. The patterns that make a well-cut round special, eight crisp arrows face-up and eight hearts face-down, break up.

DG-Anteros keeps the T73's 73 facets and 53% table and re-solves the crown and pavilion for moissanite. Here is the difference, in both stones, through a light-return scope and a Hearts & Arrows viewer.

Diamond RI 2.417

Moissanite RI 2.648

[T73](https://digitalgemology.com/cuts/t73-round-brilliant)

![T73 in diamond: face-up Light Return map](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-light.webp?v=14ae5a3a)

![T73 in diamond through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-arrows.webp?v=8d5cbfc5) *Arrows, face-up* ![T73 in diamond through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-hearts.webp?v=d069878f) *Hearts, face-down*

**T73 in diamond.** Crisp arrows and crisp hearts: the proportions were worked out for diamond.

![T73 in moissanite: face-up Light Return map](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-light.webp?v=0611f596)

![T73 in moissanite through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-arrows.webp?v=746a4f84) *Arrows, face-up* ![T73 in moissanite through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-hearts.webp?v=5ac7f585) *Hearts, face-down*

**T73 in moissanite.** Both patterns break up. The same angles bend moissanite's light too far.

[DG-Anteros](https://digitalgemology.com/cuts/dg-anteros)

![DG-Anteros in diamond: face-up Light Return map](https://digitalgemology.com/img/demo/bl-anteros-diamond-light.webp?v=b1fd8204)

![DG-Anteros in diamond through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/bl-anteros-diamond-arrows.webp?v=cfa8452d) *Arrows, face-up* ![DG-Anteros in diamond through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/bl-anteros-diamond-hearts.webp?v=3bc24c68) *Hearts, face-down*

**DG-Anteros in diamond.** The arrows go dark and the hearts flood with white: wrong stone for this cut.

![DG-Anteros in moissanite: face-up Light Return map](https://digitalgemology.com/img/demo/bl-anteros-moissanite-light.webp?v=16337d87)

![DG-Anteros in moissanite through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/bl-anteros-moissanite-arrows.webp?v=14acada3) *Arrows, face-up* ![DG-Anteros in moissanite through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/bl-anteros-moissanite-hearts.webp?v=cb66620c) *Hearts, face-down*

**DG-Anteros in moissanite.** Crisp arrows and eight clean hearts: the cut it was drawn for.

Direct Indirect Contrast Leak. Face-up, the way a light-return scope shows a stone.

White: light from the viewer's white disk, which draws the arrows and hearts. Red: light from the red reflector. Black: the lens port, or light that never comes back.

All eight panels per instrument are computed from the cut files themselves, with the same rules for every stone. The Hearts & Arrows viewer has a 2.5° lens hole, a white disk to 13.5° and a red reflector to 90°.

### What this means for you

- **Cutting or selling moissanite:** DG-Anteros is the only cut in our catalogue that shows both arrows and hearts in moissanite. A diamond-proportioned round, like the T73, loses both.
- **Cutting diamond:** choose the T73 instead. DG-Anteros is matched to moissanite, not better in general; in diamond its arrows go dark and its hearts flood.
- **Nothing new to learn at the machine:** the same 73-facet plan on a 96 index gear as the T73. Only the angles change.
- **Everything you need:** the GemCad design, the tier table and a printable diagram, plus the 3D model in six formats for settings and renders.

[Get the DG-Anteros files](https://digitalgemology.com/cuts/dg-anteros#buy) [Moissanite in detail](https://digitalgemology.com/gemstones/moissanite)

## DG-Anteros Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Brilliants

**Facets** 73 planar facets (57 + 16 girdles = 73)

**Outline** Length to width 1.000

**Total depth** 59.4% of width

**Table** 53.5% of width

**Crown angle (main)** 33.0°

**Pavilion angle (main)** 40.1°

**Reference size** 8.15 x 8.15 x 4.84 mm at 1.91 ct in diamond

**Volume** 108.58 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Anteros Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Anteros Cut*

Profile: 59.4% total depth.

![Light Return map of the DG-Anteros Cut in moissanite: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-anteros-lightmap.webp?v=72539335)

Light Return map of the DG-Anteros Cut in moissanite. A computed render of the model's geometry, not a photograph.

## How the DG-Anteros Cut performs in seven gemstones

**The DG-Anteros Cut was drawn for moissanite, and that is where it performs best, with its highest brilliance and fire together: 92 for brilliance and 91 for fire.** Its brilliance peaks in ruby and sapphire, at 97. In diamond it scores 95 for brilliance and 74 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 80, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Anteros Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 95 (T73 benchmark 93) | 74 (T73 benchmark 78) | 80 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 92 (T73 benchmark 86) | 91 (T73 benchmark 97) | 80 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 92 (T73 benchmark 98) | 82 (T73 benchmark 87) | 80 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 97 (T73 benchmark 94) | 43 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 97 (T73 benchmark 94) | 43 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 86 (T73 benchmark 78) | 52 (T73 benchmark 39) | 80 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 82 (T73 benchmark 72) | 54 (T73 benchmark 36) | 80 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-anteros&stone=moissanite), where you can set the DG-Anteros Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 40.1°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.91 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.75 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.15 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.17 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.17 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.48 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 76% | 1.44 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-anteros&stone=moissanite).

## Available in…

The DG-Anteros stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-anteros)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-anteros)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-anteros)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-anteros)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-anteros)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-anteros)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-anteros)

## Grade the DG-Anteros Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-anteros&stone=moissanite)

## DG-Anteros Cut: questions

### What files come with the DG-Anteros Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 73 planar facets.

### Is there a faceting diagram for the DG-Anteros Cut?

Yes. The cutting files contain a GemCad .asc design (57 + 16 girdles = 73 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Anteros Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, the whole pavilion reflects head-on light; in Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 40.1°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

### How accurate is the DG-Anteros Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Anteros Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 4.84 mm, which is 1.91 ct in diamond. The same size weighs 1.75 ct in moissanite, 3.15 ct in cubic zirconia, 2.17 ct in ruby, 2.17 ct in sapphire, 1.48 ct in emerald, 1.44 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Anteros Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More brilliants

- [T73 Round Brilliant Cut](https://digitalgemology.com/cuts/t73-round-brilliant)
- [T105 Round Brilliant Cut](https://digitalgemology.com/cuts/t105-round-brilliant)
- [DG-Vitruvio Cut](https://digitalgemology.com/cuts/dg-vitruvio)

## Get the DG-Anteros Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Anteros Cut 3D files

The DG-Anteros Cut as exact geometry: 73 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/2e4ad6fb-622c-4a41-b045-eab18e4b961d)

*GemCad* *96 index*

### DG-Anteros Cut cutting files

The DG-Anteros Cut as a faceting design: 57 + 16 girdles = 73 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/54188a37-b56f-4120-a93c-c783b2e18a49)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Baguette Cut

Source: https://digitalgemology.com/cuts/baguette
Buy: [Baguette Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f98a5f9b-a25e-4ed5-a5cc-92444ae9b2a0) · [Baguette Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f0f3b8ec-9290-43b0-a5a0-f230c2d4fa1f)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Baguette Cut

3D model and faceting diagram · 21 facets · 9.60 x 4.86 mm

The baguette: a slim rectangular step cut with few facets and straight, clean lines. It is the classic side stone beside a larger centre stone, and the building block of channel-set bands.

[Get the files](https://digitalgemology.com/cuts/baguette#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=baguette)

## About the Baguette Cut

The baguette: a slim rectangular step cut with few facets and straight, clean lines. It is the classic side stone beside a larger centre stone, and the building block of channel-set bands.

With so few facets, every angle counts, which makes it a good first design to cut.

## Baguette Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 21 planar facets (17 + 4 girdles = 21)

**Outline** Length to width 1.974

**Total depth** 66.8% of width

**Crown angle (main)** 45.0°

**Pavilion angle (main)** 32.4°

**Reference size** 9.60 x 4.86 x 3.25 mm at 1.52 ct in diamond

**Volume** 86.34 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.336° of the 3D model (average 0.247°); girdle facets within 0.436°

**Index gear** 96

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 2 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Baguette Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Baguette Cut*

Profile: 66.8% total depth.

![Light Return map of the Baguette Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/baguette-lightmap.webp?v=f7783bf2)

Light Return map of the Baguette Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Baguette Cut performs in seven gemstones

**The Baguette Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 46 for brilliance and 81 for fire.** Its brilliance peaks in ruby and sapphire, at 53. In diamond it scores 40 for brilliance and 62 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 43, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Baguette Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 40 (T73 benchmark 93) | 62 (T73 benchmark 78) | 43 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 32 (T73 benchmark 86) | 75 (T73 benchmark 97) | 43 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest fire* | 46 (T73 benchmark 98) | 81 (T73 benchmark 87) | 43 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 53 (T73 benchmark 94) | 53 (T73 benchmark 37) | 43 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 53 (T73 benchmark 94) | 53 (T73 benchmark 37) | 43 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 42 (T73 benchmark 78) | 58 (T73 benchmark 39) | 43 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 40 (T73 benchmark 72) | 59 (T73 benchmark 36) | 43 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=baguette&stone=cubic-zirconia), where you can set the Baguette Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 32.4°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.50 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 78% | 1.73 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 78% | 1.73 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 78% | 1.17 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 78% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=baguette).

## Available in…

The Baguette Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/baguette)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/baguette)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/baguette)
- [Ruby](https://digitalgemology.com/gemstones/ruby/baguette)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/baguette)
- [Emerald](https://digitalgemology.com/gemstones/emerald/baguette)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/baguette)

## Grade the Baguette Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=baguette)

## Baguette Cut: questions

### What files come with the Baguette Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 21 planar facets.

### Is there a faceting diagram for the Baguette Cut?

Yes. The cutting files contain a GemCad .asc design (17 + 4 girdles = 21 facets, 96 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Baguette Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 32.4°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Baguette Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.336° of the 3D model (average 0.247°); girdle facets within 0.436°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Baguette Cut model, and what does it weigh?

The model measures 9.60 x 4.86 x 3.25 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Baguette Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Baguette Cut files

*6 formats* *Millimetres* *Watertight*

### Baguette Cut 3D files

The Baguette Cut as exact geometry: 21 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f98a5f9b-a25e-4ed5-a5cc-92444ae9b2a0)

*GemCad* *96 index*

### Baguette Cut cutting files

The Baguette Cut as a faceting design: 17 + 4 girdles = 21 facets, 96 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f0f3b8ec-9290-43b0-a5a0-f230c2d4fa1f)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Emerald Cut

Source: https://digitalgemology.com/cuts/emerald-cut
Buy: [Emerald Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/7a254e34-3548-40df-9016-7f9f42e19852) · [Emerald Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/6fc2df4f-3220-428e-94ba-367bdcc8ecb6)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Emerald Cut

3D model and faceting diagram · 57 facets · 8.47 x 5.65 mm

The emerald cut: a rectangular step cut with cropped corners and a long, open table. The cropped corners protect a brittle stone at its weakest points, which is how the cut earned its name.

[Get the files](https://digitalgemology.com/cuts/emerald-cut#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-cut)

## About the Emerald Cut

The emerald cut: a rectangular step cut with cropped corners and a long, open table. The cropped corners protect a brittle stone at its weakest points, which is how the cut earned its name.

Step facets show colour and clarity plainly, so it is favoured for fine coloured stones and clean diamonds.

## Emerald Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 57 planar facets (49 + 8 girdles = 57)

**Outline** Length to width 1.500

**Total depth** 68.6% of width

**Crown angle (main)** 37.0°

**Pavilion angle (main)** 41.0°

**Reference size** 8.47 x 5.65 x 3.88 mm at 1.52 ct in diamond

**Volume** 86.34 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.003° of the 3D model (average under 0.001°); girdle facets within 0.024°

**Index gear** 64

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 9 crown, 8 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Emerald Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Emerald Cut*

Profile: 68.6% total depth.

![Light Return map of the Emerald Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/emerald-cut-lightmap.webp?v=6a289e1e)

Light Return map of the Emerald Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Emerald Cut performs in seven gemstones

**The Emerald Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 59 for brilliance and 92 for fire.** Its brilliance peaks in ruby and sapphire, at 65, and its fire peaks in moissanite, at 95. In diamond it scores 55 for brilliance and 87 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 72, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Emerald Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 55 (T73 benchmark 93) | 87 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 51 (T73 benchmark 86) | 95 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 59 (T73 benchmark 98) | 92 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 65 (T73 benchmark 94) | 47 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 65 (T73 benchmark 94) | 47 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 58 (T73 benchmark 78) | 36 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 53 (T73 benchmark 72) | 32 (T73 benchmark 36) | 72 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=emerald-cut&stone=cubic-zirconia), where you can set the Emerald Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.50 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.73 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.73 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.17 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.14 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-cut).

## Available in…

The Emerald Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/emerald-cut)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/emerald-cut)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/emerald-cut)
- [Ruby](https://digitalgemology.com/gemstones/ruby/emerald-cut)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/emerald-cut)
- [Emerald](https://digitalgemology.com/gemstones/emerald/emerald-cut)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/emerald-cut)

## Grade the Emerald Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-cut)

## Emerald Cut: questions

### What files come with the Emerald Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 57 planar facets.

### Is there a faceting diagram for the Emerald Cut?

Yes. The cutting files contain a GemCad .asc design (49 + 8 girdles = 57 facets, 64 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Emerald Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Emerald Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.003° of the 3D model (average under 0.001°); girdle facets within 0.024°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Emerald Cut model, and what does it weigh?

The model measures 8.47 x 5.65 x 3.88 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Emerald Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Emerald Cut files

*6 formats* *Millimetres* *Watertight*

### Emerald Cut 3D files

The Emerald Cut as exact geometry: 57 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/7a254e34-3548-40df-9016-7f9f42e19852)

*GemCad* *64 index*

### Emerald Cut cutting files

The Emerald Cut as a faceting design: 49 + 8 girdles = 57 facets, 64 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/6fc2df4f-3220-428e-94ba-367bdcc8ecb6)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Marquise Cut

Source: https://digitalgemology.com/cuts/marquise
Buy: [Marquise Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/dbc4977f-fe54-4713-9e6c-49d605979d87) · [Marquise Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/db916c99-ad50-4c57-9c0d-72a0a635dee2)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Marquise Cut

3D model and faceting diagram · 87 facets · 12.22 x 5.93 mm

The marquise, or navette: an elongated brilliant pointed at both ends. For its weight it has the largest face-up area of any classic shape, which makes a stone look bigger on the finger.

[Get the files](https://digitalgemology.com/cuts/marquise#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=marquise)

## About the Marquise Cut

The marquise, or navette: an elongated brilliant pointed at both ends. For its weight it has the largest face-up area of any classic shape, which makes a stone look bigger on the finger.

The points need protection in a setting, usually with V-prongs.

## Marquise Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 87 planar facets (67 + 20 girdles = 87)

**Outline** Length to width 2.059

**Total depth** 62.0% of width

**Crown angle (main)** 38.0°

**Pavilion angle (main)** 31.4°

**Reference size** 12.22 x 5.93 x 3.68 mm at 1.59 ct in diamond

**Volume** 90.23 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.010° of the 3D model (average 0.002°)

**Index gear** 64

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 10 crown, 8 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Marquise Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Marquise Cut*

Profile: 62.0% total depth.

![Light Return map of the Marquise Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/marquise-lightmap.webp?v=19eafe60)

Light Return map of the Marquise Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Marquise Cut performs in seven gemstones

**The Marquise Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 66 for brilliance and 93 for fire.** In diamond it scores 64 for brilliance and 89 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 86, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Marquise Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 64 (T73 benchmark 93) | 89 (T73 benchmark 78) | 86 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 59 (T73 benchmark 86) | 94 (T73 benchmark 97) | 86 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 66 (T73 benchmark 98) | 93 (T73 benchmark 87) | 86 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 55 (T73 benchmark 94) | 54 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 55 (T73 benchmark 94) | 54 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 43 (T73 benchmark 78) | 51 (T73 benchmark 39) | 86 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 38 (T73 benchmark 72) | 48 (T73 benchmark 36) | 86 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=marquise&stone=cubic-zirconia), where you can set the Marquise Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 31.4°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.59 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.45 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.62 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 54% | 1.80 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 54% | 1.80 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 43% | 1.23 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 43% | 1.20 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=marquise).

## Available in…

The Marquise Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/marquise)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/marquise)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/marquise)
- [Ruby](https://digitalgemology.com/gemstones/ruby/marquise)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/marquise)
- [Emerald](https://digitalgemology.com/gemstones/emerald/marquise)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/marquise)

## Grade the Marquise Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=marquise)

## Marquise Cut: questions

### What files come with the Marquise Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 87 planar facets.

### Is there a faceting diagram for the Marquise Cut?

Yes. The cutting files contain a GemCad .asc design (67 + 20 girdles = 87 facets, 64 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Marquise Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 31.4°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Marquise Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.010° of the 3D model (average 0.002°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Marquise Cut model, and what does it weigh?

The model measures 12.22 x 5.93 x 3.68 mm, which is 1.59 ct in diamond. The same size weighs 1.45 ct in moissanite, 2.62 ct in cubic zirconia, 1.80 ct in ruby, 1.80 ct in sapphire, 1.23 ct in emerald, 1.20 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Marquise Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Marquise Cut files

*6 formats* *Millimetres* *Watertight*

### Marquise Cut 3D files

The Marquise Cut as exact geometry: 87 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/dbc4977f-fe54-4713-9e6c-49d605979d87)

*GemCad* *64 index*

### Marquise Cut cutting files

The Marquise Cut as a faceting design: 67 + 20 girdles = 87 facets, 64 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/db916c99-ad50-4c57-9c0d-72a0a635dee2)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Oval Cut

Source: https://digitalgemology.com/cuts/oval
Buy: [Oval Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/ce77b9f0-180a-4d41-b13f-f0b5f9e02b99) · [Oval Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/b82abdce-69d2-46a4-819d-1a075b50fe92)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Oval Cut

3D model and faceting diagram · 97 facets · 9.00 x 6.76 mm

The oval brilliant: an elongated round, with the brilliant facet plan stretched along one axis. It faces up larger than a round of the same weight and flatters the finger.

[Get the files](https://digitalgemology.com/cuts/oval#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=oval)

## About the Oval Cut

The oval brilliant: an elongated round, with the brilliant facet plan stretched along one axis. It faces up larger than a round of the same weight and flatters the finger.

Ovals are prone to a darker band across the middle, the bow-tie, where the pavilion is shallowest; the per-stone table below shows how this oval's pavilion behaves in each material.

## Oval Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 73 + 20 girdles = 93 facets in the cutting design; the 3D model has 97 planar faces

**Outline** Length to width 1.331

**Total depth** 64.0% of width

**Crown angle (main)** 35.0°

**Pavilion angle (main)** 41.0°

**Reference size** 9.00 x 6.76 x 4.33 mm at 1.60 ct in diamond

**Volume** 91.06 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.330° of the 3D model (average 0.049°)

**Index gear** 96

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 11 crown, 8 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Oval Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Oval Cut*

Profile: 64.0% total depth.

![Light Return map of the Oval Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/oval-lightmap.webp?v=45358d5a)

Light Return map of the Oval Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Oval Cut performs in seven gemstones

**The Oval Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 63 for brilliance and 96 for fire.** Its brilliance peaks in ruby and sapphire, at 66. In diamond it scores 47 for brilliance and 92 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 87, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Oval Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 47 (T73 benchmark 93) | 92 (T73 benchmark 78) | 87 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 38 (T73 benchmark 86) | 95 (T73 benchmark 97) | 87 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest fire* | 63 (T73 benchmark 98) | 96 (T73 benchmark 87) | 87 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 66 (T73 benchmark 94) | 74 (T73 benchmark 37) | 87 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 66 (T73 benchmark 94) | 74 (T73 benchmark 37) | 87 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 55 (T73 benchmark 78) | 71 (T73 benchmark 39) | 87 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 52 (T73 benchmark 72) | 69 (T73 benchmark 36) | 87 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=oval&stone=cubic-zirconia), where you can set the Oval Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.60 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.47 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.64 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.82 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.82 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 55% | 1.24 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 39% | 1.21 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=oval).

## Available in…

The Oval Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/oval)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/oval)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/oval)
- [Ruby](https://digitalgemology.com/gemstones/ruby/oval)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/oval)
- [Emerald](https://digitalgemology.com/gemstones/emerald/oval)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/oval)

## Grade the Oval Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=oval)

## Oval Cut: questions

### What files come with the Oval Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 97 planar facets.

### Is there a faceting diagram for the Oval Cut?

Yes. The cutting files contain a GemCad .asc design (73 + 20 girdles = 93 facets, 96 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Oval Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised.

### How accurate is the Oval Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.330° of the 3D model (average 0.049°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Oval Cut model, and what does it weigh?

The model measures 9.00 x 6.76 x 4.33 mm, which is 1.60 ct in diamond. The same size weighs 1.47 ct in moissanite, 2.64 ct in cubic zirconia, 1.82 ct in ruby, 1.82 ct in sapphire, 1.24 ct in emerald, 1.21 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Oval Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Oval Cut files

*6 formats* *Millimetres* *Watertight*

### Oval Cut 3D files

The Oval Cut as exact geometry: 97 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/ce77b9f0-180a-4d41-b13f-f0b5f9e02b99)

*GemCad* *96 index*

### Oval Cut cutting files

The Oval Cut as a faceting design: 73 + 20 girdles = 93 facets, 96 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/b82abdce-69d2-46a4-819d-1a075b50fe92)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Pear Cut

Source: https://digitalgemology.com/cuts/pear
Buy: [Pear Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/19f3d75d-2a04-447b-b0f8-19c1445e9a2e) · [Pear Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/d889ac63-e435-420a-a780-1ffe91601386)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Pear Cut

3D model and faceting diagram · 64 facets · 10.28 x 6.84 mm

The pear: a brilliant with one rounded end and one point, halfway between an oval and a marquise.

[Get the files](https://digitalgemology.com/cuts/pear#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=pear)

## About the Pear Cut

The pear: a brilliant with one rounded end and one point, halfway between an oval and a marquise.

A classic for pendants and drop earrings, and for rings worn point towards the fingertip.

## Pear Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 64 planar facets (50 + 14 girdles = 64)

**Outline** Length to width 1.502

**Total depth** 60.0% of width

**Crown angle (main)** 33.0°

**Pavilion angle (main)** 34.9°

**Reference size** 10.28 x 6.84 x 4.11 mm at 1.59 ct in diamond

**Volume** 90.53 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.137° of the 3D model (average 0.006°)

**Index gear** 64

**Symmetry** 1-fold mirror-image symmetry

**Tiers** 15 crown, 10 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Pear Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Pear Cut*

Profile: 60.0% total depth.

![Light Return map of the Pear Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/pear-lightmap.webp?v=d6b3cc8a)

Light Return map of the Pear Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Pear Cut performs in seven gemstones

**The Pear Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 59 for brilliance and 90 for fire.** Its brilliance peaks in ruby and sapphire, at 62, and its fire peaks in moissanite, at 95. In diamond it scores 53 for brilliance and 84 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 76, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Pear Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 53 (T73 benchmark 93) | 84 (T73 benchmark 78) | 76 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 49 (T73 benchmark 86) | 95 (T73 benchmark 97) | 76 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 59 (T73 benchmark 98) | 90 (T73 benchmark 87) | 76 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 62 (T73 benchmark 94) | 56 (T73 benchmark 37) | 76 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 62 (T73 benchmark 94) | 56 (T73 benchmark 37) | 76 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 56 (T73 benchmark 78) | 59 (T73 benchmark 39) | 76 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 52 (T73 benchmark 72) | 60 (T73 benchmark 36) | 76 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=pear&stone=cubic-zirconia), where you can set the Pear Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 34.9°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.59 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.46 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.63 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 84% | 1.81 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 84% | 1.81 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 52% | 1.23 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 52% | 1.20 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=pear).

## Available in…

The Pear Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/pear)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/pear)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/pear)
- [Ruby](https://digitalgemology.com/gemstones/ruby/pear)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/pear)
- [Emerald](https://digitalgemology.com/gemstones/emerald/pear)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/pear)

## Grade the Pear Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=pear)

## Pear Cut: questions

### What files come with the Pear Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 64 planar facets.

### Is there a faceting diagram for the Pear Cut?

Yes. The cutting files contain a GemCad .asc design (50 + 14 girdles = 64 facets, 64 index, 1-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Pear Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 34.9°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Pear Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.137° of the 3D model (average 0.006°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Pear Cut model, and what does it weigh?

The model measures 10.28 x 6.84 x 4.11 mm, which is 1.59 ct in diamond. The same size weighs 1.46 ct in moissanite, 2.63 ct in cubic zirconia, 1.81 ct in ruby, 1.81 ct in sapphire, 1.23 ct in emerald, 1.20 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Pear Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Pear Cut files

*6 formats* *Millimetres* *Watertight*

### Pear Cut 3D files

The Pear Cut as exact geometry: 64 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/19f3d75d-2a04-447b-b0f8-19c1445e9a2e)

*GemCad* *64 index*

### Pear Cut cutting files

The Pear Cut as a faceting design: 50 + 14 girdles = 64 facets, 64 index, 1-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/d889ac63-e435-420a-a780-1ffe91601386)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Radiant Cut

Source: https://digitalgemology.com/cuts/radiant
Buy: [Radiant Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/37db9344-72d1-4dac-89e9-88dc3539c639)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Radiant Cut

3D model · 74 facets · 9.06 x 7.06 mm

The radiant: the outline of a step cut, with cropped corners, carrying a brilliant facet plan. It combines the clean shape of an emerald cut with the sparkle of a brilliant.

[Get the files](https://digitalgemology.com/cuts/radiant#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant)

## About the Radiant Cut

The radiant: the outline of a step cut, with cropped corners, carrying a brilliant facet plan. It combines the clean shape of an emerald cut with the sparkle of a brilliant.

A strong choice for coloured stones, where the mixed facets help spread colour evenly.

## Radiant Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 74 planar facets

**Outline** Length to width 1.284

**Total depth** 53.8% of width

**Crown angle (main)** 38.5°

**Pavilion angle (main)** 30.0°

**Reference size** 9.06 x 7.06 x 3.79 mm at 2.00 ct in diamond

**Volume** 113.74 mm³

**Files** STEP, 3DM, STL, OBJ, FBX, GLB

## Face-up and profile

*Face-up facet diagram of the Radiant Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Radiant Cut*

Profile: 53.8% total depth.

![Light Return map of the Radiant Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/radiant-lightmap.webp?v=96ed68b5)

Light Return map of the Radiant Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Radiant Cut performs in seven gemstones

**The Radiant Cut performs best in moissanite, where its brilliance and fire together are highest: 33 for brilliance and 92 for fire.** In diamond it scores 32 for brilliance and 77 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 74, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Radiant Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 32 (T73 benchmark 93) | 77 (T73 benchmark 78) | 74 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest brilliance* *Highest fire* | 33 (T73 benchmark 86) | 92 (T73 benchmark 97) | 74 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Highest brilliance* | 33 (T73 benchmark 98) | 91 (T73 benchmark 87) | 74 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 26 (T73 benchmark 94) | 69 (T73 benchmark 37) | 74 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 26 (T73 benchmark 94) | 69 (T73 benchmark 37) | 74 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 22 (T73 benchmark 78) | 56 (T73 benchmark 39) | 74 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 20 (T73 benchmark 72) | 41 (T73 benchmark 36) | 74 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=radiant&stone=moissanite), where you can set the Radiant Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 96% | 2.00 ct | Minor windowing |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 96% | 1.83 ct | Minor windowing |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 96% | 3.30 ct | Minor windowing |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 38% | 2.27 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 38% | 2.27 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 29% | 1.55 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 29% | 1.51 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant).

## Available in…

The Radiant Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/radiant)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/radiant)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/radiant)
- [Ruby](https://digitalgemology.com/gemstones/ruby/radiant)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/radiant)
- [Emerald](https://digitalgemology.com/gemstones/emerald/radiant)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/radiant)

## Grade the Radiant Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant)

## Radiant Cut: questions

### What files come with the Radiant Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 74 planar facets.

### Is there a faceting diagram for the Radiant Cut?

The faceting design for the Radiant Cut is in preparation and will contain a GemCad file, a tier table and a printable diagram. The 3D files are available now.

### Does the Radiant Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In none of the seven stones does the whole pavilion reflect head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised.

### How accurate is the Radiant Cut cutting file?

The cutting file for the Radiant Cut is in preparation. Every cutting file we publish is checked facet by facet against its 3D model before it goes on sale.

### How big is the Radiant Cut model, and what does it weigh?

The model measures 9.06 x 7.06 x 3.79 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Radiant Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Radiant Cut files

*6 formats* *Millimetres* *Watertight*

### Radiant Cut 3D files

The Radiant Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/37db9344-72d1-4dac-89e9-88dc3539c639)

*In preparation*

### Radiant Cut cutting files

The faceting design for the Radiant Cut is in preparation. It will include the GemCad file, the tier table and a printable diagram.

Checkout opens soon Coming soon

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Rectangle Cut

Source: https://digitalgemology.com/cuts/rectangle
Buy: [Rectangle Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/1e627cbe-69a3-44f0-a5da-e5cab29131b8) · [Rectangle Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/1d8e7f45-2f16-44f2-8215-0aea13e29c3b)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Rectangle Cut

3D model and faceting diagram · 45 facets · 8.87 x 5.89 mm

A rectangular step cut with clean, wide steps and square corners. Simpler than an emerald cut, with no cropped corners.

[Get the files](https://digitalgemology.com/cuts/rectangle#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=rectangle)

## About the Rectangle Cut

A rectangular step cut with clean, wide steps and square corners. Simpler than an emerald cut, with no cropped corners.

Used for side stones, bars and modern minimalist settings.

## Rectangle Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 45 planar facets (41 + 4 girdles = 45)

**Outline** Length to width 1.506

**Total depth** 62.0% of width

**Crown angle (main)** 19.5°

**Pavilion angle (main)** 33.5°

**Reference size** 8.87 x 5.89 x 3.65 mm at 1.56 ct in diamond

**Volume** 88.76 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.016° of the 3D model (average 0.004°)

**Index gear** 96

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 7 crown, 7 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Rectangle Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Rectangle Cut*

Profile: 62.0% total depth.

![Light Return map of the Rectangle Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/rectangle-lightmap.webp?v=82ff9a66)

Light Return map of the Rectangle Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Rectangle Cut performs in seven gemstones

**The Rectangle Cut performs best in moissanite, where its brilliance and fire together are highest: 50 for brilliance and 90 for fire.** In diamond it scores 50 for brilliance and 77 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 63, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Rectangle Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 50 (T73 benchmark 93) | 77 (T73 benchmark 78) | 63 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 50 (T73 benchmark 86) | 90 (T73 benchmark 97) | 63 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Highest brilliance* | 51 (T73 benchmark 98) | 87 (T73 benchmark 87) | 63 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 41 (T73 benchmark 94) | 58 (T73 benchmark 37) | 63 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 41 (T73 benchmark 94) | 58 (T73 benchmark 37) | 63 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 29 (T73 benchmark 78) | 55 (T73 benchmark 39) | 63 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 24 (T73 benchmark 72) | 50 (T73 benchmark 36) | 63 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=rectangle&stone=moissanite), where you can set the Rectangle Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 33.5°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.56 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.43 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.57 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 62% | 1.78 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 62% | 1.78 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 27% | 1.21 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 19% | 1.18 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=rectangle).

## Available in…

The Rectangle Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/rectangle)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/rectangle)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/rectangle)
- [Ruby](https://digitalgemology.com/gemstones/ruby/rectangle)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/rectangle)
- [Emerald](https://digitalgemology.com/gemstones/emerald/rectangle)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/rectangle)

## Grade the Rectangle Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=rectangle)

## Rectangle Cut: questions

### What files come with the Rectangle Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 45 planar facets.

### Is there a faceting diagram for the Rectangle Cut?

Yes. The cutting files contain a GemCad .asc design (41 + 4 girdles = 45 facets, 96 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Rectangle Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 33.5°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Rectangle Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.016° of the 3D model (average 0.004°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Rectangle Cut model, and what does it weigh?

The model measures 8.87 x 5.89 x 3.65 mm, which is 1.56 ct in diamond. The same size weighs 1.43 ct in moissanite, 2.57 ct in cubic zirconia, 1.78 ct in ruby, 1.78 ct in sapphire, 1.21 ct in emerald, 1.18 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Rectangle Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Rectangle Cut files

*6 formats* *Millimetres* *Watertight*

### Rectangle Cut 3D files

The Rectangle Cut as exact geometry: 45 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/1e627cbe-69a3-44f0-a5da-e5cab29131b8)

*GemCad* *96 index*

### Rectangle Cut cutting files

The Rectangle Cut as a faceting design: 41 + 4 girdles = 45 facets, 96 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/1d8e7f45-2f16-44f2-8215-0aea13e29c3b)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Teardrop Cut

Source: https://digitalgemology.com/cuts/teardrop
Buy: [Teardrop Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/01c7537a-8b6a-442f-867e-ae2a8b7c65d8) · [Teardrop Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/a8b50d8b-0e3a-4a12-a271-9683c321c40c)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Teardrop Cut

3D model and faceting diagram · 74 facets · 10.10 x 6.99 mm

A softened pear outline with a fuller shoulder, rounder and more forgiving than the classic pear.

[Get the files](https://digitalgemology.com/cuts/teardrop#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=teardrop)

## About the Teardrop Cut

A softened pear outline with a fuller shoulder, rounder and more forgiving than the classic pear.

Suited to pendants, earrings and designs where a gentler point is wanted.

## Teardrop Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 74 planar facets (56 + 18 girdles = 74)

**Outline** Length to width 1.445

**Total depth** 60.0% of width

**Crown angle (main)** 28.0°

**Pavilion angle (main)** 38.5°

**Reference size** 10.10 x 6.99 x 4.19 mm at 1.59 ct in diamond

**Volume** 90.50 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.088° of the 3D model (average 0.007°)

**Index gear** 64

**Symmetry** 1-fold mirror-image symmetry

**Tiers** 19 crown, 9 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Teardrop Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Teardrop Cut*

Profile: 60.0% total depth.

![Light Return map of the Teardrop Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/teardrop-lightmap.webp?v=3baa6741)

Light Return map of the Teardrop Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Teardrop Cut performs in seven gemstones

**The Teardrop Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 55 for brilliance and 95 for fire.** Its brilliance peaks in ruby and sapphire, at 59. In diamond it scores 46 for brilliance and 89 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 81, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Teardrop Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 46 (T73 benchmark 93) | 89 (T73 benchmark 78) | 81 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 39 (T73 benchmark 86) | 96 (T73 benchmark 97) | 81 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 55 (T73 benchmark 98) | 95 (T73 benchmark 87) | 81 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 59 (T73 benchmark 94) | 64 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 59 (T73 benchmark 94) | 64 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 54 (T73 benchmark 78) | 63 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 49 (T73 benchmark 72) | 60 (T73 benchmark 36) | 81 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=teardrop&stone=cubic-zirconia), where you can set the Teardrop Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 38.5°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.59 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.46 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.62 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.81 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.81 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 52% | 1.23 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 43% | 1.20 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=teardrop).

## Available in…

The Teardrop Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/teardrop)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/teardrop)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/teardrop)
- [Ruby](https://digitalgemology.com/gemstones/ruby/teardrop)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/teardrop)
- [Emerald](https://digitalgemology.com/gemstones/emerald/teardrop)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/teardrop)

## Grade the Teardrop Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=teardrop)

## Teardrop Cut: questions

### What files come with the Teardrop Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 74 planar facets.

### Is there a faceting diagram for the Teardrop Cut?

Yes. The cutting files contain a GemCad .asc design (56 + 18 girdles = 74 facets, 64 index, 1-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Teardrop Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 38.5°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, emerald, amethyst.

### How accurate is the Teardrop Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.088° of the 3D model (average 0.007°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Teardrop Cut model, and what does it weigh?

The model measures 10.10 x 6.99 x 4.19 mm, which is 1.59 ct in diamond. The same size weighs 1.46 ct in moissanite, 2.62 ct in cubic zirconia, 1.81 ct in ruby, 1.81 ct in sapphire, 1.23 ct in emerald, 1.20 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Teardrop Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Teardrop Cut files

*6 formats* *Millimetres* *Watertight*

### Teardrop Cut 3D files

The Teardrop Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/01c7537a-8b6a-442f-867e-ae2a8b7c65d8)

*GemCad* *64 index*

### Teardrop Cut cutting files

The Teardrop Cut as a faceting design: 56 + 18 girdles = 74 facets, 64 index, 1-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/a8b50d8b-0e3a-4a12-a271-9683c321c40c)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Asscher Cut

Source: https://digitalgemology.com/cuts/asscher
Buy: [Asscher Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/3f478563-162b-489c-afd5-5086170b053f) · [Asscher Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/6113a4c7-5d19-46be-99a5-0f365e8f6c18)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Asscher Cut

3D model and faceting diagram · 58 facets · 6.77 x 6.77 mm

The Asscher: a square step cut with deeply cropped corners, which give it an octagonal outline and the concentric 'hall of mirrors' look of its stepped pavilion.

[Get the files](https://digitalgemology.com/cuts/asscher#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=asscher)

## About the Asscher Cut

The Asscher: a square step cut with deeply cropped corners, which give it an octagonal outline and the concentric 'hall of mirrors' look of its stepped pavilion.

It suits Art Deco designs and stones with good clarity, since a step cut shows the inside of the stone plainly.

## Asscher Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 58 planar facets

**Outline** Length to width 1.000

**Total depth** 60.4% of width

**Crown angle (main)** 38.0°

**Pavilion angle (main)** 27.6°

**Reference size** 6.77 x 6.77 x 4.08 mm at 1.52 ct in diamond

**Volume** 86.34 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.058° of the 3D model (average 0.044°)

**Index gear** 96

**Symmetry** 4-fold symmetry

**Tiers** 8 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Asscher Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Asscher Cut*

Profile: 60.4% total depth.

![Light Return map of the Asscher Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/asscher-lightmap.webp?v=c72a6e99)

Light Return map of the Asscher Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Asscher Cut performs in seven gemstones

**The Asscher Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 74 for brilliance and 88 for fire.** Its fire peaks in moissanite, at 94. In diamond it scores 69 for brilliance and 80 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 72, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Asscher Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 69 (T73 benchmark 93) | 80 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 64 (T73 benchmark 86) | 94 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 74 (T73 benchmark 98) | 88 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 68 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 68 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 62 (T73 benchmark 78) | 55 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 60 (T73 benchmark 72) | 52 (T73 benchmark 36) | 72 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=asscher&stone=cubic-zirconia), where you can set the Asscher Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 27.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 97% | 2.50 ct | Minor windowing |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 79% | 1.17 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 56% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=asscher).

## Available in…

The Asscher Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/asscher)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/asscher)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/asscher)
- [Ruby](https://digitalgemology.com/gemstones/ruby/asscher)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/asscher)
- [Emerald](https://digitalgemology.com/gemstones/emerald/asscher)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/asscher)

## Grade the Asscher Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=asscher)

## Asscher Cut: questions

### What files come with the Asscher Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 58 planar facets.

### Is there a faceting diagram for the Asscher Cut?

Yes. The cutting files contain a GemCad .asc design (58 facets, 96 index, 4-fold symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Asscher Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 27.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Asscher Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.058° of the 3D model (average 0.044°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Asscher Cut model, and what does it weigh?

The model measures 6.77 x 6.77 x 4.08 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Asscher Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Asscher Cut files

*6 formats* *Millimetres* *Watertight*

### Asscher Cut 3D files

The Asscher Cut as exact geometry: 58 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/3f478563-162b-489c-afd5-5086170b053f)

*GemCad* *96 index*

### Asscher Cut cutting files

The Asscher Cut as a faceting design: 58 facets, 96 index, 4-fold symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/6113a4c7-5d19-46be-99a5-0f365e8f6c18)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Cushion Cut

Source: https://digitalgemology.com/cuts/cushion
Buy: [Cushion Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/0ab6b522-6f5e-4103-9be4-aa806b5cfb2b) · [Cushion Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/5a6cedf6-d038-467c-a964-3cbfa3ad9e4e)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Cushion Cut

3D model and faceting diagram · 85 facets · 6.89 x 6.89 mm

The cushion: a square outline with rounded corners and a brilliant facet plan, descended from the old mine cut. It is soft in outline and generous in its flashes.

[Get the files](https://digitalgemology.com/cuts/cushion#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=cushion)

## About the Cushion Cut

The cushion: a square outline with rounded corners and a brilliant facet plan, descended from the old mine cut. It is soft in outline and generous in its flashes.

A popular choice for coloured stones as well as diamond, and for vintage-style rings.

## Cushion Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 85 planar facets (69 + 16 girdles = 85)

**Outline** Length to width 1.000

**Total depth** 65.0% of width

**Crown angle (main)** 33.5°

**Pavilion angle (main)** 39.6°

**Reference size** 6.89 x 6.89 x 4.48 mm at 1.51 ct in diamond

**Volume** 85.85 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.007° of the 3D model (average 0.003°); girdle facets within 0.013°

**Index gear** 96

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 5 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Cushion Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Cushion Cut*

Profile: 65.0% total depth.

![Light Return map of the Cushion Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/cushion-lightmap.webp?v=816fafe3)

Light Return map of the Cushion Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Cushion Cut performs in seven gemstones

**The Cushion Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 88 for brilliance and 87 for fire.** Its fire peaks in moissanite, at 93. In diamond it scores 80 for brilliance and 73 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 85, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Cushion Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 80 (T73 benchmark 93) | 73 (T73 benchmark 78) | 85 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 74 (T73 benchmark 86) | 93 (T73 benchmark 97) | 85 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 88 (T73 benchmark 98) | 87 (T73 benchmark 87) | 85 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 88 (T73 benchmark 94) | 36 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 88 (T73 benchmark 94) | 36 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 74 (T73 benchmark 78) | 27 (T73 benchmark 39) | 85 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 69 (T73 benchmark 72) | 24 (T73 benchmark 36) | 85 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=cushion&stone=cubic-zirconia), where you can set the Cushion Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 39.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.51 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.38 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.49 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.72 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.72 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.17 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 85% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=cushion).

## Available in…

The Cushion Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/cushion)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/cushion)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/cushion)
- [Ruby](https://digitalgemology.com/gemstones/ruby/cushion)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/cushion)
- [Emerald](https://digitalgemology.com/gemstones/emerald/cushion)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/cushion)

## Grade the Cushion Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=cushion)

## Cushion Cut: questions

### What files come with the Cushion Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 85 planar facets.

### Is there a faceting diagram for the Cushion Cut?

Yes. The cutting files contain a GemCad .asc design (69 + 16 girdles = 85 facets, 96 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Cushion Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, the whole pavilion reflects head-on light; in Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 39.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

### How accurate is the Cushion Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.007° of the 3D model (average 0.003°); girdle facets within 0.013°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Cushion Cut model, and what does it weigh?

The model measures 6.89 x 6.89 x 4.48 mm, which is 1.51 ct in diamond. The same size weighs 1.38 ct in moissanite, 2.49 ct in cubic zirconia, 1.72 ct in ruby, 1.72 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Cushion Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Cushion Cut files

*6 formats* *Millimetres* *Watertight*

### Cushion Cut 3D files

The Cushion Cut as exact geometry: 85 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/0ab6b522-6f5e-4103-9be4-aa806b5cfb2b)

*GemCad* *96 index*

### Cushion Cut cutting files

The Cushion Cut as a faceting design: 69 + 16 girdles = 85 facets, 96 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/5a6cedf6-d038-467c-a964-3cbfa3ad9e4e)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Emerald Square Cut

Source: https://digitalgemology.com/cuts/emerald-square
Buy: [Emerald Square Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/d2388961-6665-40de-86ee-2fd2be7a4609) · [Emerald Square Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8cee9942-6697-487f-be59-4252debde079)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Emerald Square Cut

3D model and faceting diagram · 49 facets · 6.59 x 6.59 mm

The emerald step cut on a square outline, with cropped corners and concentric steps. Close in spirit to the Asscher, with a shallower, more open table.

[Get the files](https://digitalgemology.com/cuts/emerald-square#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-square)

## About the Emerald Square Cut

The emerald step cut on a square outline, with cropped corners and concentric steps. Close in spirit to the Asscher, with a shallower, more open table.

A clean, architectural choice for centre stones and earrings.

## Emerald Square Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 49 planar facets (41 + 8 girdles = 49)

**Outline** Length to width 1.000

**Total depth** 61.0% of width

**Crown angle (main)** 41.5°

**Pavilion angle (main)** 28.2°

**Reference size** 6.59 x 6.59 x 4.02 mm at 1.52 ct in diamond

**Volume** 86.34 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.202° of the 3D model (average 0.148°); girdle facets within 0.264°

**Index gear** 96

**Symmetry** 4-fold symmetry

**Tiers** 4 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Emerald Square Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Emerald Square Cut*

Profile: 61.0% total depth.

![Light Return map of the Emerald Square Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/emerald-square-lightmap.webp?v=38eeaf40)

Light Return map of the Emerald Square Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Emerald Square Cut performs in seven gemstones

**The Emerald Square Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 65 for brilliance and 89 for fire.** Its brilliance peaks in ruby and sapphire, at 71, and its fire peaks in moissanite, at 93. In diamond it scores 64 for brilliance and 84 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 72, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Emerald Square Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 64 (T73 benchmark 93) | 84 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 58 (T73 benchmark 86) | 93 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 65 (T73 benchmark 98) | 89 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 71 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 71 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 66 (T73 benchmark 78) | 46 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 61 (T73 benchmark 72) | 40 (T73 benchmark 36) | 72 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=emerald-square&stone=cubic-zirconia), where you can set the Emerald Square Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 28.2°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 97% | 1.52 ct | Minor windowing |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 97% | 2.50 ct | Minor windowing |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 81% | 1.17 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 81% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-square).

## Available in…

The Emerald Square Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/emerald-square)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/emerald-square)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/emerald-square)
- [Ruby](https://digitalgemology.com/gemstones/ruby/emerald-square)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/emerald-square)
- [Emerald](https://digitalgemology.com/gemstones/emerald/emerald-square)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/emerald-square)

## Grade the Emerald Square Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=emerald-square)

## Emerald Square Cut: questions

### What files come with the Emerald Square Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 49 planar facets.

### Is there a faceting diagram for the Emerald Square Cut?

Yes. The cutting files contain a GemCad .asc design (41 + 8 girdles = 49 facets, 96 index, 4-fold symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Emerald Square Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Moissanite, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 28.2°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Emerald Square Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.202° of the 3D model (average 0.148°); girdle facets within 0.264°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Emerald Square Cut model, and what does it weigh?

The model measures 6.59 x 6.59 x 4.02 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Emerald Square Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Emerald Square Cut files

*6 formats* *Millimetres* *Watertight*

### Emerald Square Cut 3D files

The Emerald Square Cut as exact geometry: 49 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/d2388961-6665-40de-86ee-2fd2be7a4609)

*GemCad* *96 index*

### Emerald Square Cut cutting files

The Emerald Square Cut as a faceting design: 41 + 8 girdles = 49 facets, 96 index, 4-fold symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8cee9942-6697-487f-be59-4252debde079)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Princess Cut

Source: https://digitalgemology.com/cuts/princess
Buy: [Princess Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/edd2f8c9-a099-4fc2-9104-a65a6561f764) · [Princess Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/3fad41cf-2af3-441c-9603-4cbed8aadd95)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Princess Cut

3D model and faceting diagram · 93 facets · 6.46 x 6.46 mm

The princess: a square brilliant with sharp corners and chevron-patterned pavilion facets. It is the square cut that keeps the most weight from rough and gives the most sparkle for a square outline.

[Get the files](https://digitalgemology.com/cuts/princess#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=princess)

## About the Princess Cut

The princess: a square brilliant with sharp corners and chevron-patterned pavilion facets. It is the square cut that keeps the most weight from rough and gives the most sparkle for a square outline.

The corners are its weak points, so they are usually protected with V-prongs.

## Princess Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 81 + 4 girdles = 85 facets in the cutting design; the 3D model has 93 planar faces

**Outline** Length to width 1.000

**Total depth** 68.5% of width

**Crown angle (main)** 25.0°

**Pavilion angle (main)** 41.9°

**Reference size** 6.46 x 6.46 x 4.42 mm at 1.45 ct in diamond

**Volume** 82.54 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.060° of the 3D model (average 0.006°)

**Index gear** 96

**Symmetry** 4-fold mirror-image symmetry

**Tiers** 6 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Princess Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Princess Cut*

Profile: 68.5% total depth.

![Light Return map of the Princess Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/princess-lightmap.webp?v=f48ab88b)

Light Return map of the Princess Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Princess Cut performs in seven gemstones

**The Princess Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 63 for brilliance and 92 for fire.** Its brilliance peaks in ruby and sapphire, at 68, and its fire peaks in moissanite, at 95. In diamond it scores 57 for brilliance and 83 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 78, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Princess Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 57 (T73 benchmark 93) | 83 (T73 benchmark 78) | 78 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 51 (T73 benchmark 86) | 95 (T73 benchmark 97) | 78 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 63 (T73 benchmark 98) | 92 (T73 benchmark 87) | 78 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 68 (T73 benchmark 94) | 52 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 68 (T73 benchmark 94) | 52 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 51 (T73 benchmark 78) | 32 (T73 benchmark 39) | 78 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 45 (T73 benchmark 72) | 25 (T73 benchmark 36) | 78 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=princess&stone=cubic-zirconia), where you can set the Princess Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.45 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.33 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.39 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.65 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.65 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.12 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.09 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=princess).

## Available in…

The Princess Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/princess)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/princess)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/princess)
- [Ruby](https://digitalgemology.com/gemstones/ruby/princess)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/princess)
- [Emerald](https://digitalgemology.com/gemstones/emerald/princess)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/princess)

## Grade the Princess Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=princess)

## Princess Cut: questions

### What files come with the Princess Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 93 planar facets.

### Is there a faceting diagram for the Princess Cut?

Yes. The cutting files contain a GemCad .asc design (81 + 4 girdles = 85 facets, 96 index, 4-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Princess Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Princess Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.060° of the 3D model (average 0.006°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Princess Cut model, and what does it weigh?

The model measures 6.46 x 6.46 x 4.42 mm, which is 1.45 ct in diamond. The same size weighs 1.33 ct in moissanite, 2.39 ct in cubic zirconia, 1.65 ct in ruby, 1.65 ct in sapphire, 1.12 ct in emerald, 1.09 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Princess Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Princess Cut files

*6 formats* *Millimetres* *Watertight*

### Princess Cut 3D files

The Princess Cut as exact geometry: 93 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/edd2f8c9-a099-4fc2-9104-a65a6561f764)

*GemCad* *96 index*

### Princess Cut cutting files

The Princess Cut as a faceting design: 81 + 4 girdles = 85 facets, 96 index, 4-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/3fad41cf-2af3-441c-9603-4cbed8aadd95)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Radiant Square Cut

Source: https://digitalgemology.com/cuts/radiant-square
Buy: [Radiant Square Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/50f6d654-8433-4161-b340-43321988b43c) · [Radiant Square Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/fd3a043b-495d-4a91-94e7-78f2bc740eb3)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Radiant Square Cut

3D model and faceting diagram · 49 facets · 6.36 x 6.36 mm

The radiant on a square outline: cropped corners with a brilliant facet plan beneath.

[Get the files](https://digitalgemology.com/cuts/radiant-square#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square)

## About the Radiant Square Cut

The radiant on a square outline: cropped corners with a brilliant facet plan beneath.

More forgiving at the corners than a princess, with a similar sparkle.

## Radiant Square Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 49 planar facets (41 + 8 girdles = 49)

**Outline** Length to width 1.000

**Total depth** 72.8% of width

**Crown angle (main)** 43.5°

**Pavilion angle (main)** 34.6°

**Reference size** 6.36 x 6.36 x 4.64 mm at 1.52 ct in diamond

**Volume** 86.34 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.186° of the 3D model (average 0.137°); girdle facets within 0.226°

**Index gear** 96

**Symmetry** 4-fold symmetry

**Tiers** 4 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Radiant Square Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Radiant Square Cut*

Profile: 72.8% total depth.

![Light Return map of the Radiant Square Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/radiant-square-lightmap.webp?v=34557fc3)

Light Return map of the Radiant Square Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Radiant Square Cut performs in seven gemstones

**The Radiant Square Cut performs best in moissanite, where its brilliance and fire together are highest: 71 for brilliance and 93 for fire.** Its brilliance peaks in ruby and sapphire, at 76. In diamond it scores 72 for brilliance and 62 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 66, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Radiant Square Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 72 (T73 benchmark 93) | 62 (T73 benchmark 78) | 66 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 71 (T73 benchmark 86) | 93 (T73 benchmark 97) | 66 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 74 (T73 benchmark 98) | 81 (T73 benchmark 87) | 66 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 76 (T73 benchmark 94) | 25 (T73 benchmark 37) | 66 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 76 (T73 benchmark 94) | 25 (T73 benchmark 37) | 66 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 57 (T73 benchmark 78) | 20 (T73 benchmark 39) | 66 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 51 (T73 benchmark 72) | 20 (T73 benchmark 36) | 66 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=radiant-square&stone=moissanite), where you can set the Radiant Square Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 34.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.50 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.73 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.73 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 97% | 1.17 ct | Minor windowing |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 89% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square).

## Available in…

The Radiant Square Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/radiant-square)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/radiant-square)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/radiant-square)
- [Ruby](https://digitalgemology.com/gemstones/ruby/radiant-square)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/radiant-square)
- [Emerald](https://digitalgemology.com/gemstones/emerald/radiant-square)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/radiant-square)

## Grade the Radiant Square Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square)

## Radiant Square Cut: questions

### What files come with the Radiant Square Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 49 planar facets.

### Is there a faceting diagram for the Radiant Square Cut?

Yes. The cutting files contain a GemCad .asc design (41 + 8 girdles = 49 facets, 96 index, 4-fold symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Radiant Square Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 34.6°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Radiant Square Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.186° of the 3D model (average 0.137°); girdle facets within 0.226°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Radiant Square Cut model, and what does it weigh?

The model measures 6.36 x 6.36 x 4.64 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Radiant Square Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Radiant Square Cut files

*6 formats* *Millimetres* *Watertight*

### Radiant Square Cut 3D files

The Radiant Square Cut as exact geometry: 49 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/50f6d654-8433-4161-b340-43321988b43c)

*GemCad* *96 index*

### Radiant Square Cut cutting files

The Radiant Square Cut as a faceting design: 41 + 8 girdles = 49 facets, 96 index, 4-fold symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/fd3a043b-495d-4a91-94e7-78f2bc740eb3)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Square Cut

Source: https://digitalgemology.com/cuts/square
Buy: [Square Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/879ca486-10d4-46a9-bc7b-ec539f36b4b3) · [Square Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/bf64b861-2dd3-4090-8cf9-cf1ba36b2a1f)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Square Cut

3D model and faceting diagram · 69 facets · 7.21 x 7.21 mm

A square brilliant with a full facet set: the square counterpart of the round brilliant.

[Get the files](https://digitalgemology.com/cuts/square#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=square)

## About the Square Cut

A square brilliant with a full facet set: the square counterpart of the round brilliant.

A versatile centre and accent stone.

## Square Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 69 planar facets (57 + 12 girdles = 69)

**Outline** Length to width 1.000

**Total depth** 65.0% of width

**Crown angle (main)** 35.5°

**Pavilion angle (main)** 41.4°

**Reference size** 7.21 x 7.21 x 4.69 mm at 1.56 ct in diamond

**Volume** 88.39 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°); girdle facets within 0.098°

**Index gear** 64

**Symmetry** 4-fold mirror-image symmetry

**Tiers** 5 crown, 4 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Square Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Square Cut*

Profile: 65.0% total depth.

![Light Return map of the Square Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/square-lightmap.webp?v=c045c29d)

Light Return map of the Square Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Square Cut performs in seven gemstones

**The Square Cut performs best in moissanite, where its brilliance and fire together are highest: 82 for brilliance and 91 for fire.** In diamond it scores 85 for brilliance and 72 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 78, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Square Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) *Highest brilliance* | 85 (T73 benchmark 93) | 72 (T73 benchmark 78) | 78 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 82 (T73 benchmark 86) | 91 (T73 benchmark 97) | 78 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Highest brilliance* | 85 (T73 benchmark 98) | 83 (T73 benchmark 87) | 78 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 78 (T73 benchmark 94) | 45 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 78 (T73 benchmark 94) | 45 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 68 (T73 benchmark 78) | 38 (T73 benchmark 39) | 78 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 65 (T73 benchmark 72) | 34 (T73 benchmark 36) | 78 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=square&stone=moissanite), where you can set the Square Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.56 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.42 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.56 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.77 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.77 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.20 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 68% | 1.17 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=square).

## Available in…

The Square Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/square)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/square)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/square)
- [Ruby](https://digitalgemology.com/gemstones/ruby/square)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/square)
- [Emerald](https://digitalgemology.com/gemstones/emerald/square)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/square)

## Grade the Square Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=square)

## Square Cut: questions

### What files come with the Square Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 69 planar facets.

### Is there a faceting diagram for the Square Cut?

Yes. The cutting files contain a GemCad .asc design (57 + 12 girdles = 69 facets, 64 index, 4-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Square Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, the whole pavilion reflects head-on light; in Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised.

### How accurate is the Square Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.002° of the 3D model (average under 0.001°); girdle facets within 0.098°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Square Cut model, and what does it weigh?

The model measures 7.21 x 7.21 x 4.69 mm, which is 1.56 ct in diamond. The same size weighs 1.42 ct in moissanite, 2.56 ct in cubic zirconia, 1.77 ct in ruby, 1.77 ct in sapphire, 1.20 ct in emerald, 1.17 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Square Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Square Cut files

*6 formats* *Millimetres* *Watertight*

### Square Cut 3D files

The Square Cut as exact geometry: 69 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/879ca486-10d4-46a9-bc7b-ec539f36b4b3)

*GemCad* *64 index*

### Square Cut cutting files

The Square Cut as a faceting design: 57 + 12 girdles = 69 facets, 64 index, 4-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/bf64b861-2dd3-4090-8cf9-cf1ba36b2a1f)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Triangle Cut

Source: https://digitalgemology.com/cuts/triangle
Buy: [Triangle Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/067c1e65-2a8c-46d7-a35b-b947713997ad) · [Triangle Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/eb7ee7ef-90f9-4c80-bcb3-5f289658d26b)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Triangle Cut

3D model and faceting diagram · 19 facets · 10.23 x 8.86 mm

A plain equilateral triangular cut: two crown tiers over three pavilion tiers, with nothing spare in the facet set.

[Get the files](https://digitalgemology.com/cuts/triangle#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=triangle)

## About the Triangle Cut

A plain equilateral triangular cut: two crown tiers over three pavilion tiers, with nothing spare in the facet set.

Its small number of facets makes it an approachable design for new cutters.

## Triangle Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 19 planar facets (16 + 3 girdles = 19)

**Outline** Length to width 1.155

**Total depth** 55.4% of width

**Table** 60.0% of width

**Crown angle (main)** 35.3°

**Pavilion angle (main)** 41.8°

**Reference size** 10.23 x 8.86 x 4.91 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.004° of the 3D model (average 0.003°)

**Index gear** 96

**Symmetry** 3-fold symmetry

**Tiers** 2 crown, 3 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Triangle Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Triangle Cut*

Profile: 55.4% total depth.

![Light Return map of the Triangle Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/triangle-lightmap.webp?v=d9335ca9)

Light Return map of the Triangle Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Triangle Cut performs in seven gemstones

**The Triangle Cut performs best in moissanite (52 for brilliance, 96 for fire) and cubic zirconia (54 for brilliance, 94 for fire), which tie on brilliance and fire together.** In diamond it scores 53 for brilliance and 86 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 34, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Triangle Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 53 (T73 benchmark 93) | 86 (T73 benchmark 78) | 34 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 52 (T73 benchmark 86) | 96 (T73 benchmark 97) | 34 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 54 (T73 benchmark 98) | 94 (T73 benchmark 87) | 34 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 33 (T73 benchmark 94) | 54 (T73 benchmark 37) | 34 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 33 (T73 benchmark 94) | 54 (T73 benchmark 37) | 34 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 27 (T73 benchmark 78) | 65 (T73 benchmark 39) | 34 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 28 (T73 benchmark 72) | 61 (T73 benchmark 36) | 34 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=triangle&stone=moissanite), where you can set the Triangle Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=triangle).

## Available in…

The Triangle Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/triangle)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/triangle)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/triangle)
- [Ruby](https://digitalgemology.com/gemstones/ruby/triangle)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/triangle)
- [Emerald](https://digitalgemology.com/gemstones/emerald/triangle)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/triangle)

## Grade the Triangle Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=triangle)

## Triangle Cut: questions

### What files come with the Triangle Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 19 planar facets.

### Is there a faceting diagram for the Triangle Cut?

Yes. The cutting files contain a GemCad .asc design (16 + 3 girdles = 19 facets, 96 index, 3-fold symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Triangle Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Triangle Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.004° of the 3D model (average 0.003°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Triangle Cut model, and what does it weigh?

The model measures 10.23 x 8.86 x 4.91 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Triangle Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Triangle Cut files

*6 formats* *Millimetres* *Watertight*

### Triangle Cut 3D files

The Triangle Cut as exact geometry: 19 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/067c1e65-2a8c-46d7-a35b-b947713997ad)

*GemCad* *96 index*

### Triangle Cut cutting files

The Triangle Cut as a faceting design: 16 + 3 girdles = 19 facets, 96 index, 3-fold symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/eb7ee7ef-90f9-4c80-bcb3-5f289658d26b)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Trilliant Cut

Source: https://digitalgemology.com/cuts/trilliant
Buy: [Trilliant Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8cf9bf48-bd66-44ff-b7ed-7e05324314f5) · [Trilliant Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/0107d982-7c9f-4008-ae0d-25f1d35efe27)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Trilliant Cut

3D model and faceting diagram · 72 facets · 7.61 x 7.61 mm

The trilliant: a three-sided brilliant with straight sides. Bold and graphic, it is often used as a pair of side stones either side of a centre stone.

[Get the files](https://digitalgemology.com/cuts/trilliant#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trilliant)

## About the Trilliant Cut

The trilliant: a three-sided brilliant with straight sides. Bold and graphic, it is often used as a pair of side stones either side of a centre stone.

Its sharp corners are best protected in a setting.

## Trilliant Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 58 + 12 girdles = 70 facets in the cutting design; the 3D model has 72 planar faces

**Outline** Length to width 1.000

**Total depth** 58.9% of width

**Crown angle (main)** 33.0°

**Pavilion angle (main)** 39.0°

**Reference size** 7.61 x 7.61 x 4.48 mm at 1.54 ct in diamond

**Volume** 87.48 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.007° of the 3D model (average under 0.001°); girdle facets within 0.029°

**Index gear** 96

**Symmetry** 3-fold mirror-image symmetry

**Tiers** 5 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Trilliant Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Trilliant Cut*

Profile: 58.9% total depth.

![Light Return map of the Trilliant Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/trilliant-lightmap.webp?v=ff713b9c)

Light Return map of the Trilliant Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Trilliant Cut performs in seven gemstones

**The Trilliant Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 84 for brilliance and 94 for fire.** In diamond it scores 78 for brilliance and 83 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 79, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Trilliant Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 78 (T73 benchmark 93) | 83 (T73 benchmark 78) | 79 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 71 (T73 benchmark 86) | 95 (T73 benchmark 97) | 79 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* | 84 (T73 benchmark 98) | 94 (T73 benchmark 87) | 79 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 86 (T73 benchmark 94) | 52 (T73 benchmark 37) | 79 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 86 (T73 benchmark 94) | 52 (T73 benchmark 37) | 79 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 68 (T73 benchmark 78) | 41 (T73 benchmark 39) | 79 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 63 (T73 benchmark 72) | 34 (T73 benchmark 36) | 79 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=trilliant&stone=cubic-zirconia), where you can set the Trilliant Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 39.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for moissanite, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.54 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.41 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.54 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.75 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.75 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 77% | 1.19 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 77% | 1.16 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trilliant).

## Available in…

The Trilliant Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/trilliant)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/trilliant)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/trilliant)
- [Ruby](https://digitalgemology.com/gemstones/ruby/trilliant)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/trilliant)
- [Emerald](https://digitalgemology.com/gemstones/emerald/trilliant)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/trilliant)

## Grade the Trilliant Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trilliant)

## Trilliant Cut: questions

### What files come with the Trilliant Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 72 planar facets.

### Is there a faceting diagram for the Trilliant Cut?

Yes. The cutting files contain a GemCad .asc design (58 + 12 girdles = 70 facets, 96 index, 3-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Trilliant Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 39.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for moissanite, emerald, amethyst.

### How accurate is the Trilliant Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.007° of the 3D model (average under 0.001°); girdle facets within 0.029°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Trilliant Cut model, and what does it weigh?

The model measures 7.61 x 7.61 x 4.48 mm, which is 1.54 ct in diamond. The same size weighs 1.41 ct in moissanite, 2.54 ct in cubic zirconia, 1.75 ct in ruby, 1.75 ct in sapphire, 1.19 ct in emerald, 1.16 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Trilliant Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Trilliant Cut files

*6 formats* *Millimetres* *Watertight*

### Trilliant Cut 3D files

The Trilliant Cut as exact geometry: 72 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8cf9bf48-bd66-44ff-b7ed-7e05324314f5)

*GemCad* *96 index*

### Trilliant Cut cutting files

The Trilliant Cut as a faceting design: 58 + 12 girdles = 70 facets, 96 index, 3-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/0107d982-7c9f-4008-ae0d-25f1d35efe27)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Trillion Cut

Source: https://digitalgemology.com/cuts/trillion
Buy: [Trillion Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/d7e9d0fc-1a1c-44fa-a3e4-2e8ef54f8e6d) · [Trillion Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/d3df8563-1d93-47e4-9926-bcab55355b22)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Trillion Cut

3D model and faceting diagram · 73 facets · 9.34 x 8.83 mm

The trillion: a three-sided brilliant whose sides bow gently outward, rounder in the hand than the straight-sided trilliant.

[Get the files](https://digitalgemology.com/cuts/trillion#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trillion)

## About the Trillion Cut

The trillion: a three-sided brilliant whose sides bow gently outward, rounder in the hand than the straight-sided trilliant.

A popular solitaire shape for coloured stones as well as a side stone.

## Trillion Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 73 planar facets (61 + 12 girdles = 73)

**Outline** Length to width 1.057

**Total depth** 50.7% of width

**Table** 56.6% of width

**Crown angle (main)** 36.0°

**Pavilion angle (main)** 31.9°

**Reference size** 9.34 x 8.83 x 4.48 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.104° of the 3D model (average 0.052°); girdle facets within 0.136°

**Index gear** 120

**Symmetry** 3-fold symmetry

**Tiers** 4 crown, 6 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Trillion Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Trillion Cut*

Profile: 50.7% total depth.

![Light Return map of the Trillion Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/trillion-lightmap.webp?v=81aa38a2)

Light Return map of the Trillion Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Trillion Cut performs in seven gemstones

**The Trillion Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 73 for brilliance and 93 for fire.** In diamond it scores 67 for brilliance and 87 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 80, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Trillion Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 67 (T73 benchmark 93) | 87 (T73 benchmark 78) | 80 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 60 (T73 benchmark 86) | 93 (T73 benchmark 97) | 80 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* *Highest fire* | 73 (T73 benchmark 98) | 93 (T73 benchmark 87) | 80 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 72 (T73 benchmark 94) | 59 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 72 (T73 benchmark 94) | 59 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 63 (T73 benchmark 78) | 48 (T73 benchmark 39) | 80 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 60 (T73 benchmark 72) | 44 (T73 benchmark 36) | 80 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=trillion&stone=cubic-zirconia), where you can set the Trillion Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 31.9°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 89% | 2.27 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 89% | 2.27 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 89% | 1.55 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 72% | 1.51 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trillion).

## Available in…

The Trillion Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/trillion)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/trillion)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/trillion)
- [Ruby](https://digitalgemology.com/gemstones/ruby/trillion)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/trillion)
- [Emerald](https://digitalgemology.com/gemstones/emerald/trillion)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/trillion)

## Grade the Trillion Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=trillion)

## Trillion Cut: questions

### What files come with the Trillion Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 73 planar facets.

### Is there a faceting diagram for the Trillion Cut?

Yes. The cutting files contain a GemCad .asc design (61 + 12 girdles = 73 facets, 120 index, 3-fold symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Trillion Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 31.9°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Trillion Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.104° of the 3D model (average 0.052°); girdle facets within 0.136°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Trillion Cut model, and what does it weigh?

The model measures 9.34 x 8.83 x 4.48 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Trillion Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Trillion Cut files

*6 formats* *Millimetres* *Watertight*

### Trillion Cut 3D files

The Trillion Cut as exact geometry: 73 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/d7e9d0fc-1a1c-44fa-a3e4-2e8ef54f8e6d)

*GemCad* *120 index*

### Trillion Cut cutting files

The Trillion Cut as a faceting design: 61 + 12 girdles = 73 facets, 120 index, 3-fold symmetry, ready for the machine.

- **.asc** GemCad design file, 120 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/d3df8563-1d93-47e4-9926-bcab55355b22)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Heart Cut

Source: https://digitalgemology.com/cuts/heart
Buy: [Heart Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f2172900-50c2-4874-b381-2dbe8fbb4eca)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Heart Cut

3D model · 114 facets · 7.02 x 6.93 mm

The heart brilliant: a pear-like brilliant with a cleft at the top that divides it into two lobes. The cleft and the symmetry of the two lobes are what make or break the shape.

[Get the files](https://digitalgemology.com/cuts/heart#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=heart)

## About the Heart Cut

The heart brilliant: a pear-like brilliant with a cleft at the top that divides it into two lobes. The cleft and the symmetry of the two lobes are what make or break the shape.

Used for pendants, gifts and statement rings.

## Heart Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 114 planar facets

**Outline** Length to width 1.013

**Total depth** 66.8% of width

**Crown angle (main)** 30.5°

**Pavilion angle (main)** 46.5°

**Reference size** 7.02 x 6.93 x 4.63 mm at 1.52 ct in diamond

**Volume** 86.35 mm³

**Files** STEP, 3DM, STL, OBJ, FBX, GLB

## Face-up and profile

*Face-up facet diagram of the Heart Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Heart Cut*

Profile: 66.8% total depth.

![Light Return map of the Heart Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/heart-lightmap.webp?v=28dd99f2)

Light Return map of the Heart Cut in diamond. A computed render of the model's geometry, not a photograph.

## The Heart Cut in seven gemstones

Brilliance, fire and scintillation are not measured for the Heart Cut: our census traces convex stones, and the notch of the heart makes it concave.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.50 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 97% | 1.73 ct | Minor windowing |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 97% | 1.73 ct | Minor windowing |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 79% | 1.17 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 79% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=heart).

## Grade the Heart Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=heart)

## Heart Cut: questions

### What files come with the Heart Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 114 planar facets.

### Is there a faceting diagram for the Heart Cut?

The faceting design for the Heart Cut is in preparation and will contain a GemCad file, a tier table and a printable diagram. The 3D files are available now.

### Does the Heart Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised.

### How accurate is the Heart Cut cutting file?

The cutting file for the Heart Cut is in preparation. Every cutting file we publish is checked facet by facet against its 3D model before it goes on sale.

### How big is the Heart Cut model, and what does it weigh?

The model measures 7.02 x 6.93 x 4.63 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Heart Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Heart Cut files

*6 formats* *Millimetres* *Watertight*

### Heart Cut 3D files

The Heart Cut as exact geometry: 114 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f2172900-50c2-4874-b381-2dbe8fbb4eca)

*In preparation*

### Heart Cut cutting files

The faceting design for the Heart Cut is in preparation. It will include the GemCad file, the tier table and a printable diagram.

Checkout opens soon Coming soon

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Hexagon Cut

Source: https://digitalgemology.com/cuts/hexagon
Buy: [Hexagon Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/bc08dd3e-b7ff-4247-92a3-6631aa338050) · [Hexagon Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f0aadab4-ae84-471d-b091-255e3a8a531f)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Hexagon Cut

3D model and faceting diagram · 37 facets · 7.93 x 6.87 mm

A six-sided outline with a step-cut crown over a tiered pavilion. Geometric and modern, it tiles well in clusters and bands.

[Get the files](https://digitalgemology.com/cuts/hexagon#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=hexagon)

## About the Hexagon Cut

A six-sided outline with a step-cut crown over a tiered pavilion. Geometric and modern, it tiles well in clusters and bands.

It sits between a step cut and a brilliant in character: clean lines face-up, with more life than a pure step cut.

## Hexagon Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 37 planar facets (31 + 6 girdles = 37)

**Outline** Length to width 1.155

**Total depth** 61.0% of width

**Crown angle (main)** 40.0°

**Pavilion angle (main)** 29.3°

**Reference size** 7.93 x 6.87 x 4.19 mm at 1.52 ct in diamond

**Volume** 86.35 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.003° of the 3D model (average 0.002°)

**Index gear** 96

**Symmetry** 6-fold mirror-image symmetry

**Tiers** 2 crown, 3 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Hexagon Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Hexagon Cut*

Profile: 61.0% total depth.

![Light Return map of the Hexagon Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/hexagon-lightmap.webp?v=7a04e083)

Light Return map of the Hexagon Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Hexagon Cut performs in seven gemstones

**The Hexagon Cut performs best in moissanite, where its brilliance and fire together are highest: 57 for brilliance and 97 for fire.** Its brilliance peaks in cubic zirconia, ruby and sapphire, at 64. In diamond it scores 58 for brilliance and 85 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 56, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Hexagon Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 58 (T73 benchmark 93) | 85 (T73 benchmark 78) | 56 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 57 (T73 benchmark 86) | 97 (T73 benchmark 97) | 56 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Highest brilliance* | 64 (T73 benchmark 98) | 84 (T73 benchmark 87) | 56 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 64 (T73 benchmark 94) | 45 (T73 benchmark 37) | 56 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 64 (T73 benchmark 94) | 45 (T73 benchmark 37) | 56 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 52 (T73 benchmark 78) | 41 (T73 benchmark 39) | 56 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 49 (T73 benchmark 72) | 39 (T73 benchmark 36) | 56 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=hexagon&stone=moissanite), where you can set the Hexagon Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 29.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.52 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.39 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.50 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 89% | 1.73 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 89% | 1.17 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 89% | 1.14 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=hexagon).

## Available in…

The Hexagon Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/hexagon)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/hexagon)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/hexagon)
- [Ruby](https://digitalgemology.com/gemstones/ruby/hexagon)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/hexagon)
- [Emerald](https://digitalgemology.com/gemstones/emerald/hexagon)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/hexagon)

## Grade the Hexagon Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=hexagon)

## Hexagon Cut: questions

### What files come with the Hexagon Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 37 planar facets.

### Is there a faceting diagram for the Hexagon Cut?

Yes. The cutting files contain a GemCad .asc design (31 + 6 girdles = 37 facets, 96 index, 6-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Hexagon Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 29.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Hexagon Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.003° of the 3D model (average 0.002°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Hexagon Cut model, and what does it weigh?

The model measures 7.93 x 6.87 x 4.19 mm, which is 1.52 ct in diamond. The same size weighs 1.39 ct in moissanite, 2.50 ct in cubic zirconia, 1.73 ct in ruby, 1.73 ct in sapphire, 1.17 ct in emerald, 1.14 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Hexagon Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Hexagon Cut files

*6 formats* *Millimetres* *Watertight*

### Hexagon Cut 3D files

The Hexagon Cut as exact geometry: 37 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/bc08dd3e-b7ff-4247-92a3-6631aa338050)

*GemCad* *96 index*

### Hexagon Cut cutting files

The Hexagon Cut as a faceting design: 31 + 6 girdles = 37 facets, 96 index, 6-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f0aadab4-ae84-471d-b091-255e3a8a531f)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Octagon Cut

Source: https://digitalgemology.com/cuts/octagon
Buy: [Octagon Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/26baac35-16bd-4143-97ba-9eeb7fd4da11) · [Octagon Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/390b595d-894b-4e34-be35-57f44d569591)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Octagon Cut

3D model and faceting diagram · 49 facets · 7.64 x 7.64 mm

An eight-sided cut carrying the same tier profile as the hexagon: a stepped crown over a three-tier pavilion.

[Get the files](https://digitalgemology.com/cuts/octagon#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=octagon)

## About the Octagon Cut

An eight-sided cut carrying the same tier profile as the hexagon: a stepped crown over a three-tier pavilion.

A crisp geometric outline for modern designs and coloured stones.

## Octagon Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 49 planar facets (41 + 8 girdles = 49)

**Outline** Length to width 1.000

**Total depth** 61.0% of width

**Table** 60.0% of width

**Crown angle (main)** 39.8°

**Pavilion angle (main)** 29.3°

**Reference size** 7.64 x 7.64 x 4.66 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 2 crown, 3 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Octagon Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Octagon Cut*

Profile: 61.0% total depth.

![Light Return map of the Octagon Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/octagon-lightmap.webp?v=9807ac38)

Light Return map of the Octagon Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Octagon Cut performs in seven gemstones

**The Octagon Cut performs best in moissanite, where its brilliance and fire together are highest: 67 for brilliance and 94 for fire.** Its brilliance peaks in ruby and sapphire, at 78. In diamond it scores 71 for brilliance and 76 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 66, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Octagon Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 71 (T73 benchmark 93) | 76 (T73 benchmark 78) | 66 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 67 (T73 benchmark 86) | 94 (T73 benchmark 97) | 66 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 76 (T73 benchmark 98) | 80 (T73 benchmark 87) | 66 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 78 (T73 benchmark 94) | 33 (T73 benchmark 37) | 66 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 78 (T73 benchmark 94) | 33 (T73 benchmark 37) | 66 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 69 (T73 benchmark 78) | 34 (T73 benchmark 39) | 66 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 64 (T73 benchmark 72) | 28 (T73 benchmark 36) | 66 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=octagon&stone=moissanite), where you can set the Octagon Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 29.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 89% | 2.27 ct | Steepen the pavilion |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 89% | 2.27 ct | Steepen the pavilion |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 89% | 1.55 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 89% | 1.51 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=octagon).

## Available in…

The Octagon Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/octagon)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/octagon)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/octagon)
- [Ruby](https://digitalgemology.com/gemstones/ruby/octagon)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/octagon)
- [Emerald](https://digitalgemology.com/gemstones/emerald/octagon)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/octagon)

## Grade the Octagon Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=octagon)

## Octagon Cut: questions

### What files come with the Octagon Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 49 planar facets.

### Is there a faceting diagram for the Octagon Cut?

Yes. The cutting files contain a GemCad .asc design (41 + 8 girdles = 49 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Octagon Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, the whole pavilion reflects head-on light; in Ruby, Sapphire, Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 29.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, ruby, sapphire, emerald, amethyst.

### How accurate is the Octagon Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Octagon Cut model, and what does it weigh?

The model measures 7.64 x 7.64 x 4.66 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Octagon Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Portuguese Bird's Nest Cut](https://digitalgemology.com/cuts/portuguese-birds-nest)

## Get the Octagon Cut files

*6 formats* *Millimetres* *Watertight*

### Octagon Cut 3D files

The Octagon Cut as exact geometry: 49 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/26baac35-16bd-4143-97ba-9eeb7fd4da11)

*GemCad* *96 index*

### Octagon Cut cutting files

The Octagon Cut as a faceting design: 41 + 8 girdles = 49 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/390b595d-894b-4e34-be35-57f44d569591)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Portuguese Bird's Nest Cut

Source: https://digitalgemology.com/cuts/portuguese-birds-nest
Buy: [Portuguese Bird's Nest Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/260cf8a0-6a47-4ff7-91e0-e41657dd7730) · [Portuguese Bird's Nest Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/57a8bbc7-5d29-4910-9a85-9c0656d946a0)

[Cuts](https://digitalgemology.com/cuts/) · [Jewelry cuts](https://digitalgemology.com/cuts/#jewelry)

# Portuguese Bird's Nest Cut

3D model and faceting diagram · 177 facets · 7.90 x 7.90 mm

The traditional Portuguese cut: sixteen-fold, with five crown tiers and five pavilion tiers, each offset half an index step from the one above so the facets interlock into a woven 'bird's nest'.

[Get the files](https://digitalgemology.com/cuts/portuguese-birds-nest#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=portuguese-birds-nest)

## About the Portuguese Bird's Nest Cut

The traditional Portuguese cut: sixteen-fold, with five crown tiers and five pavilion tiers, each offset half an index step from the one above so the facets interlock into a woven 'bird's nest'.

With well over a hundred facets it is a showpiece for the faceting machine and a long-standing favourite for coloured stones.

## Portuguese Bird's Nest Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Jewelry cuts

**Facets** 177 planar facets (161 + 16 girdles = 177)

**Outline** Length to width 1.000

**Total depth** 63.1% of width

**Table** 48.9% of width

**Crown angle (main)** 26.0°

**Pavilion angle (main)** 38.0°

**Reference size** 7.90 x 7.90 x 4.99 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 16-fold mirror-image symmetry

**Tiers** 5 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Portuguese Bird's Nest Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Portuguese Bird's Nest Cut*

Profile: 63.1% total depth.

![Light Return map of the Portuguese Bird's Nest Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/portuguese-birds-nest-lightmap.webp?v=9049e03d)

Light Return map of the Portuguese Bird's Nest Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Portuguese Bird's Nest Cut performs in seven gemstones

**The Portuguese Bird's Nest Cut performs best in moissanite, where its brilliance and fire together are highest: 82 for brilliance and 95 for fire.** In diamond it scores 85 for brilliance and 65 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 98, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Portuguese Bird's Nest Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) *Highest brilliance* | 85 (T73 benchmark 93) | 65 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 82 (T73 benchmark 86) | 95 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 83 (T73 benchmark 98) | 79 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 69 (T73 benchmark 94) | 16 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 69 (T73 benchmark 94) | 16 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 42 (T73 benchmark 78) | 2 (T73 benchmark 39) | 98 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 37 (T73 benchmark 72) | 1 (T73 benchmark 36) | 98 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=portuguese-birds-nest&stone=moissanite), where you can set the Portuguese Bird's Nest Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 38.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 78% | 1.55 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 78% | 1.51 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=portuguese-birds-nest).

## Available in…

The Portuguese Bird's Nest Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/portuguese-birds-nest)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/portuguese-birds-nest)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/portuguese-birds-nest)
- [Ruby](https://digitalgemology.com/gemstones/ruby/portuguese-birds-nest)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/portuguese-birds-nest)
- [Emerald](https://digitalgemology.com/gemstones/emerald/portuguese-birds-nest)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/portuguese-birds-nest)

## Grade the Portuguese Bird's Nest Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=portuguese-birds-nest)

## Portuguese Bird's Nest Cut: questions

### What files come with the Portuguese Bird's Nest Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 177 planar facets.

### Is there a faceting diagram for the Portuguese Bird's Nest Cut?

Yes. The cutting files contain a GemCad .asc design (161 + 16 girdles = 177 facets, 96 index, 16-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Portuguese Bird's Nest Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 38.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, cubic zirconia, emerald, amethyst.

### How accurate is the Portuguese Bird's Nest Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Portuguese Bird's Nest Cut model, and what does it weigh?

The model measures 7.90 x 7.90 x 4.99 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Portuguese Bird's Nest Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More jewelry cuts

- [Baguette Cut](https://digitalgemology.com/cuts/baguette)
- [Emerald Cut](https://digitalgemology.com/cuts/emerald-cut)
- [Marquise Cut](https://digitalgemology.com/cuts/marquise)
- [Oval Cut](https://digitalgemology.com/cuts/oval)
- [Pear Cut](https://digitalgemology.com/cuts/pear)
- [Radiant Cut](https://digitalgemology.com/cuts/radiant)
- [Rectangle Cut](https://digitalgemology.com/cuts/rectangle)
- [Teardrop Cut](https://digitalgemology.com/cuts/teardrop)
- [Asscher Cut](https://digitalgemology.com/cuts/asscher)
- [Cushion Cut](https://digitalgemology.com/cuts/cushion)
- [Emerald Square Cut](https://digitalgemology.com/cuts/emerald-square)
- [Princess Cut](https://digitalgemology.com/cuts/princess)
- [Radiant Square Cut](https://digitalgemology.com/cuts/radiant-square)
- [Square Cut](https://digitalgemology.com/cuts/square)
- [Triangle Cut](https://digitalgemology.com/cuts/triangle)
- [Trilliant Cut](https://digitalgemology.com/cuts/trilliant)
- [Trillion Cut](https://digitalgemology.com/cuts/trillion)
- [Heart Cut](https://digitalgemology.com/cuts/heart)
- [Hexagon Cut](https://digitalgemology.com/cuts/hexagon)
- [Octagon Cut](https://digitalgemology.com/cuts/octagon)

## Get the Portuguese Bird's Nest Cut files

*6 formats* *Millimetres* *Watertight*

### Portuguese Bird's Nest Cut 3D files

The Portuguese Bird's Nest Cut as exact geometry: 177 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/260cf8a0-6a47-4ff7-91e0-e41657dd7730)

*GemCad* *96 index*

### Portuguese Bird's Nest Cut cutting files

The Portuguese Bird's Nest Cut as a faceting design: 161 + 16 girdles = 177 facets, 96 index, 16-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/57a8bbc7-5d29-4910-9a85-9c0656d946a0)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Old Single Cut

Source: https://digitalgemology.com/cuts/old-single
Buy: [Old Single Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/3676049d-d816-4345-abd1-6b493531442a) · [Old Single Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8370cbbe-94b3-4fca-9136-d3396779812e)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# Old Single Cut

3D model and faceting diagram · 26 facets · 8.05 x 8.05 mm

The single cut, or eight cut: an octahedron with the top sawn off for a table and the corners bevelled to a regular octagon. Every crown facet is congruent and so is every pavilion facet, so the cut has exactly one crown angle and one pavilion angle.

[Get the files](https://digitalgemology.com/cuts/old-single#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-single)

## About the Old Single Cut

The single cut, or eight cut: an octahedron with the top sawn off for a table and the corners bevelled to a regular octagon. Every crown facet is congruent and so is every pavilion facet, so the cut has exactly one crown angle and one pavilion angle.

Today the same plan is still used for very small melee stones, where a full brilliant would be wasted.

## Old Single Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 26 planar facets (18 + 8 girdles = 26)

**Outline** Length to width 1.000

**Total depth** 67.5% of width

**Table** 57.5% of width

**Crown angle (main)** 40.0°

**Pavilion angle (main)** 48.5°

**Reference size** 8.05 x 8.05 x 5.43 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 1 crown, 1 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Old Single Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Old Single Cut*

Profile: 67.5% total depth.

![Light Return map of the Old Single Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/old-single-lightmap.webp?v=8d2eba3f)

Light Return map of the Old Single Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Old Single Cut performs in seven gemstones

**The Old Single Cut performs best in moissanite, where its brilliance and fire together are highest: 77 for brilliance and 99 for fire.** In diamond it scores 72 for brilliance and 84 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 44, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Old Single Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 72 (T73 benchmark 93) | 84 (T73 benchmark 78) | 44 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest brilliance* *Highest fire* | 77 (T73 benchmark 86) | 99 (T73 benchmark 97) | 44 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 65 (T73 benchmark 98) | 83 (T73 benchmark 87) | 44 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 36 (T73 benchmark 94) | 9 (T73 benchmark 37) | 44 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 36 (T73 benchmark 94) | 9 (T73 benchmark 37) | 44 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 17 (T73 benchmark 78) | 32 (T73 benchmark 39) | 44 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 15 (T73 benchmark 72) | 38 (T73 benchmark 36) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=old-single&stone=moissanite), where you can set the Old Single Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 99% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 99% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 99% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 99% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 99% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-single).

## Available in…

The Old Single Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/old-single)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/old-single)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/old-single)
- [Ruby](https://digitalgemology.com/gemstones/ruby/old-single)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/old-single)
- [Emerald](https://digitalgemology.com/gemstones/emerald/old-single)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/old-single)

## Grade the Old Single Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-single)

## Old Single Cut: questions

### What files come with the Old Single Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 26 planar facets.

### Is there a faceting diagram for the Old Single Cut?

Yes. The cutting files contain a GemCad .asc design (18 + 8 girdles = 26 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Old Single Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Old Single Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Old Single Cut model, and what does it weigh?

The model measures 8.05 x 8.05 x 5.43 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Old Single Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Mazarin Cut](https://digitalgemology.com/cuts/mazarin)
- [Peruzzi Cut](https://digitalgemology.com/cuts/peruzzi)
- [Old Mine Cut](https://digitalgemology.com/cuts/old-mine)
- [Old European Cut](https://digitalgemology.com/cuts/old-european)
- [T57 Round Brilliant Cut](https://digitalgemology.com/cuts/t57-round-brilliant)

## Get the Old Single Cut files

*6 formats* *Millimetres* *Watertight*

### Old Single Cut 3D files

The Old Single Cut as exact geometry: 26 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/3676049d-d816-4345-abd1-6b493531442a)

*GemCad* *96 index*

### Old Single Cut cutting files

The Old Single Cut as a faceting design: 18 + 8 girdles = 26 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8370cbbe-94b3-4fca-9136-d3396779812e)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Mazarin Cut

Source: https://digitalgemology.com/cuts/mazarin
Buy: [Mazarin Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/d953d04c-a275-4d13-a560-1daddbb50fbd) · [Mazarin Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8e3dd23a-acd4-49f1-bf56-152e6d8b0499)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# Mazarin Cut

3D model and faceting diagram · 42 facets · 7.46 x 7.46 mm

The Mazarin, or double cut, of the mid-1600s: the first cut to be called a brilliant. Sixteen facets sit above the girdle and sixteen below, on a cushion outline with an octagonal table and a wide, open culet.

[Get the files](https://digitalgemology.com/cuts/mazarin#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=mazarin)

## About the Mazarin Cut

The Mazarin, or double cut, of the mid-1600s: the first cut to be called a brilliant. Sixteen facets sit above the girdle and sixteen below, on a cushion outline with an octagonal table and a wide, open culet.

It is the step between the single cut and the Peruzzi, and it is rebuilt here from Marcel Tolkowsky's Diamond Design (1919), which the product files cite.

## Mazarin Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 42 planar facets (34 + 8 girdles = 42)

**Outline** Length to width 1.000

**Total depth** 68.8% of width

**Table** 57.5% of width

**Crown angle (main)** 31.4°

**Pavilion angle (main)** 44.3°

**Reference size** 7.46 x 7.46 x 5.14 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.003° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 4-fold mirror-image symmetry

**Tiers** 3 crown, 3 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Mazarin Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Mazarin Cut*

Profile: 68.8% total depth.

![Light Return map of the Mazarin Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/mazarin-lightmap.webp?v=c498d086)

Light Return map of the Mazarin Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Mazarin Cut performs in seven gemstones

**The Mazarin Cut performs best in moissanite, where its brilliance and fire together are highest: 61 for brilliance and 88 for fire.** In diamond it scores 65 for brilliance and 63 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 61, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Mazarin Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) *Highest brilliance* | 65 (T73 benchmark 93) | 63 (T73 benchmark 78) | 61 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 61 (T73 benchmark 86) | 88 (T73 benchmark 97) | 61 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 62 (T73 benchmark 98) | 77 (T73 benchmark 87) | 61 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 58 (T73 benchmark 94) | 40 (T73 benchmark 37) | 61 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 58 (T73 benchmark 94) | 40 (T73 benchmark 37) | 61 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 46 (T73 benchmark 78) | 31 (T73 benchmark 39) | 61 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 43 (T73 benchmark 72) | 28 (T73 benchmark 36) | 61 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=mazarin&stone=moissanite), where you can set the Mazarin Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 99% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 99% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 99% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 99% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 99% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=mazarin).

## Available in…

The Mazarin Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/mazarin)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/mazarin)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/mazarin)
- [Ruby](https://digitalgemology.com/gemstones/ruby/mazarin)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/mazarin)
- [Emerald](https://digitalgemology.com/gemstones/emerald/mazarin)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/mazarin)

## Grade the Mazarin Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=mazarin)

## Mazarin Cut: questions

### What files come with the Mazarin Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 42 planar facets.

### Is there a faceting diagram for the Mazarin Cut?

Yes. The cutting files contain a GemCad .asc design (34 + 8 girdles = 42 facets, 96 index, 4-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Mazarin Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Mazarin Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.003° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Mazarin Cut model, and what does it weigh?

The model measures 7.46 x 7.46 x 5.14 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Mazarin Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Old Single Cut](https://digitalgemology.com/cuts/old-single)
- [Peruzzi Cut](https://digitalgemology.com/cuts/peruzzi)
- [Old Mine Cut](https://digitalgemology.com/cuts/old-mine)
- [Old European Cut](https://digitalgemology.com/cuts/old-european)
- [T57 Round Brilliant Cut](https://digitalgemology.com/cuts/t57-round-brilliant)

## Get the Mazarin Cut files

*6 formats* *Millimetres* *Watertight*

### Mazarin Cut 3D files

The Mazarin Cut as exact geometry: 42 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/d953d04c-a275-4d13-a560-1daddbb50fbd)

*GemCad* *96 index*

### Mazarin Cut cutting files

The Mazarin Cut as a faceting design: 34 + 8 girdles = 42 facets, 96 index, 4-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8e3dd23a-acd4-49f1-bf56-152e6d8b0499)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Peruzzi Cut

Source: https://digitalgemology.com/cuts/peruzzi
Buy: [Peruzzi Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/ba27c393-fbda-46b4-89aa-d625fae47b81) · [Peruzzi Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/034782ea-d041-4d5a-ad57-4bf7e75e37d7)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# Peruzzi Cut

3D model and faceting diagram · 74 facets · 7.47 x 7.47 mm

The Peruzzi, or triple cut, of the late 1600s: the point at which the modern facet plan arrives. The crown divides into 8 bezels, 8 stars and 16 upper halves, mirrored below the girdle, for 58 facets in all.

[Get the files](https://digitalgemology.com/cuts/peruzzi#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=peruzzi)

## About the Peruzzi Cut

The Peruzzi, or triple cut, of the late 1600s: the point at which the modern facet plan arrives. The crown divides into 8 bezels, 8 stars and 16 upper halves, mirrored below the girdle, for 58 facets in all.

It is cut deep and on a cushion outline, so it returns less light than a modern round but breaks it into larger, livelier flashes.

## Peruzzi Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 74 planar facets (58 + 16 girdles = 74)

**Outline** Length to width 1.000

**Total depth** 69.1% of width

**Table** 56.8% of width

**Crown angle (main)** 46.0°

**Pavilion angle (main)** 46.2°

**Reference size** 7.47 x 7.47 x 5.17 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 4-fold mirror-image symmetry

**Tiers** 5 crown, 4 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Peruzzi Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Peruzzi Cut*

Profile: 69.1% total depth.

![Light Return map of the Peruzzi Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/peruzzi-lightmap.webp?v=5c39c6a5)

Light Return map of the Peruzzi Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Peruzzi Cut performs in seven gemstones

**The Peruzzi Cut performs best in moissanite, where its brilliance and fire together are highest: 71 for brilliance and 94 for fire.** In diamond it scores 75 for brilliance and 68 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 81, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Peruzzi Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) *Highest brilliance* | 75 (T73 benchmark 93) | 68 (T73 benchmark 78) | 81 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 71 (T73 benchmark 86) | 94 (T73 benchmark 97) | 81 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 67 (T73 benchmark 98) | 79 (T73 benchmark 87) | 81 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 46 (T73 benchmark 94) | 22 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 46 (T73 benchmark 94) | 22 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 30 (T73 benchmark 78) | 15 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 26 (T73 benchmark 72) | 13 (T73 benchmark 36) | 81 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=peruzzi&stone=moissanite), where you can set the Peruzzi Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 99% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 99% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 99% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 99% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 99% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 99% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=peruzzi).

## Available in…

The Peruzzi Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/peruzzi)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/peruzzi)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/peruzzi)
- [Ruby](https://digitalgemology.com/gemstones/ruby/peruzzi)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/peruzzi)
- [Emerald](https://digitalgemology.com/gemstones/emerald/peruzzi)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/peruzzi)

## Grade the Peruzzi Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=peruzzi)

## Peruzzi Cut: questions

### What files come with the Peruzzi Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 74 planar facets.

### Is there a faceting diagram for the Peruzzi Cut?

Yes. The cutting files contain a GemCad .asc design (58 + 16 girdles = 74 facets, 96 index, 4-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Peruzzi Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Peruzzi Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Peruzzi Cut model, and what does it weigh?

The model measures 7.47 x 7.47 x 5.17 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Peruzzi Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Old Single Cut](https://digitalgemology.com/cuts/old-single)
- [Mazarin Cut](https://digitalgemology.com/cuts/mazarin)
- [Old Mine Cut](https://digitalgemology.com/cuts/old-mine)
- [Old European Cut](https://digitalgemology.com/cuts/old-european)
- [T57 Round Brilliant Cut](https://digitalgemology.com/cuts/t57-round-brilliant)

## Get the Peruzzi Cut files

*6 formats* *Millimetres* *Watertight*

### Peruzzi Cut 3D files

The Peruzzi Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/ba27c393-fbda-46b4-89aa-d625fae47b81)

*GemCad* *96 index*

### Peruzzi Cut cutting files

The Peruzzi Cut as a faceting design: 58 + 16 girdles = 74 facets, 96 index, 4-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/034782ea-d041-4d5a-ad57-4bf7e75e37d7)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Old Mine Cut

Source: https://digitalgemology.com/cuts/old-mine
Buy: [Old Mine Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/5b3b75f2-db63-4e1c-8acc-ed119e91984a) · [Old Mine Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/54ae00b8-0467-47be-a84f-354652bd5c37)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# Old Mine Cut

3D model and faceting diagram · 74 facets · 7.69 x 7.69 mm

The old mine cut of the 1700s and 1800s: the Peruzzi's 58 facets made more uniform, on a rounder cushion outline. The table is wide and the pavilion steep, which gives an old mine cut its characteristic dark centre and chunky flashes.

[Get the files](https://digitalgemology.com/cuts/old-mine#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-mine)

## About the Old Mine Cut

The old mine cut of the 1700s and 1800s: the Peruzzi's 58 facets made more uniform, on a rounder cushion outline. The table is wide and the pavilion steep, which gives an old mine cut its characteristic dark centre and chunky flashes.

Use it for antique-style and reproduction pieces, or to study how the brilliant evolved.

## Old Mine Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 74 planar facets (58 + 16 girdles = 74)

**Outline** Length to width 1.000

**Total depth** 65.6% of width

**Table** 60.3% of width

**Crown angle (main)** 43.0°

**Pavilion angle (main)** 44.4°

**Reference size** 7.69 x 7.69 x 5.05 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 4-fold mirror-image symmetry

**Tiers** 5 crown, 4 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Old Mine Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Old Mine Cut*

Profile: 65.6% total depth.

![Light Return map of the Old Mine Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/old-mine-lightmap.webp?v=c3082dfe)

Light Return map of the Old Mine Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Old Mine Cut performs in seven gemstones

**The Old Mine Cut performs best in moissanite, where its brilliance and fire together are highest: 60 for brilliance and 85 for fire.** Its brilliance peaks in cubic zirconia, at 64. In diamond it scores 59 for brilliance and 72 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 81, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Old Mine Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 59 (T73 benchmark 93) | 72 (T73 benchmark 78) | 81 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 60 (T73 benchmark 86) | 85 (T73 benchmark 97) | 81 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Highest brilliance* | 64 (T73 benchmark 98) | 80 (T73 benchmark 87) | 81 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 50 (T73 benchmark 94) | 36 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 50 (T73 benchmark 94) | 36 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 40 (T73 benchmark 78) | 25 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 38 (T73 benchmark 72) | 22 (T73 benchmark 36) | 81 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=old-mine&stone=moissanite), where you can set the Old Mine Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-mine).

## Available in…

The Old Mine Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/old-mine)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/old-mine)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/old-mine)
- [Ruby](https://digitalgemology.com/gemstones/ruby/old-mine)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/old-mine)
- [Emerald](https://digitalgemology.com/gemstones/emerald/old-mine)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/old-mine)

## Grade the Old Mine Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-mine)

## Old Mine Cut: questions

### What files come with the Old Mine Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 74 planar facets.

### Is there a faceting diagram for the Old Mine Cut?

Yes. The cutting files contain a GemCad .asc design (58 + 16 girdles = 74 facets, 96 index, 4-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Old Mine Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Old Mine Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Old Mine Cut model, and what does it weigh?

The model measures 7.69 x 7.69 x 5.05 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Old Mine Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Old Single Cut](https://digitalgemology.com/cuts/old-single)
- [Mazarin Cut](https://digitalgemology.com/cuts/mazarin)
- [Peruzzi Cut](https://digitalgemology.com/cuts/peruzzi)
- [Old European Cut](https://digitalgemology.com/cuts/old-european)
- [T57 Round Brilliant Cut](https://digitalgemology.com/cuts/t57-round-brilliant)

## Get the Old Mine Cut files

*6 formats* *Millimetres* *Watertight*

### Old Mine Cut 3D files

The Old Mine Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/5b3b75f2-db63-4e1c-8acc-ed119e91984a)

*GemCad* *96 index*

### Old Mine Cut cutting files

The Old Mine Cut as a faceting design: 58 + 16 girdles = 74 facets, 96 index, 4-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/54ae00b8-0467-47be-a84f-354652bd5c37)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Old European Cut

Source: https://digitalgemology.com/cuts/old-european
Buy: [Old European Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f62fe466-3b65-4438-afae-f96f0df06c1e) · [Old European Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/19f2828c-f3b0-4ed8-9631-4d28774a05e5)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# Old European Cut

3D model and faceting diagram · 74 facets · 7.96 x 7.96 mm

The old European cut, from the 1870s onward: the old mine cut's 58 facets on a circular outline, made possible once bruting became mechanical. It is thinner than the cushion-shaped cuts before it and carries a smaller table.

[Get the files](https://digitalgemology.com/cuts/old-european#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-european)

## About the Old European Cut

The old European cut, from the 1870s onward: the old mine cut's 58 facets on a circular outline, made possible once bruting became mechanical. It is thinner than the cushion-shaped cuts before it and carries a smaller table.

It is the last step before the modern round brilliant, and the cut most antique round diamonds were given.

## Old European Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 74 planar facets (58 + 16 girdles = 74)

**Outline** Length to width 1.000

**Total depth** 64.7% of width

**Table** 45.0% of width

**Crown angle (main)** 35.0°

**Pavilion angle (main)** 41.5°

**Reference size** 7.96 x 7.96 x 5.15 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Old European Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Old European Cut*

Profile: 64.7% total depth.

![Light Return map of the Old European Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/old-european-lightmap.webp?v=fed5f185)

Light Return map of the Old European Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the Old European Cut performs in seven gemstones

**The Old European Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 92 for brilliance and 84 for fire.** Its fire peaks in moissanite, at 95. In diamond it scores 90 for brilliance and 74 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 81, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the Old European Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 90 (T73 benchmark 93) | 74 (T73 benchmark 78) | 81 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 79 (T73 benchmark 86) | 95 (T73 benchmark 97) | 81 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 92 (T73 benchmark 98) | 84 (T73 benchmark 87) | 81 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 78 (T73 benchmark 94) | 39 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 78 (T73 benchmark 94) | 39 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 64 (T73 benchmark 78) | 42 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 59 (T73 benchmark 72) | 37 (T73 benchmark 36) | 81 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=old-european&stone=cubic-zirconia), where you can set the Old European Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-european).

## Available in…

The Old European Cut stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/old-european)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/old-european)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/old-european)
- [Ruby](https://digitalgemology.com/gemstones/ruby/old-european)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/old-european)
- [Emerald](https://digitalgemology.com/gemstones/emerald/old-european)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/old-european)

## Grade the Old European Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=old-european)

## Old European Cut: questions

### What files come with the Old European Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 74 planar facets.

### Is there a faceting diagram for the Old European Cut?

Yes. The cutting files contain a GemCad .asc design (58 + 16 girdles = 74 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Old European Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the Old European Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Old European Cut model, and what does it weigh?

The model measures 7.96 x 7.96 x 5.15 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Old European Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Old Single Cut](https://digitalgemology.com/cuts/old-single)
- [Mazarin Cut](https://digitalgemology.com/cuts/mazarin)
- [Peruzzi Cut](https://digitalgemology.com/cuts/peruzzi)
- [Old Mine Cut](https://digitalgemology.com/cuts/old-mine)
- [T57 Round Brilliant Cut](https://digitalgemology.com/cuts/t57-round-brilliant)

## Get the Old European Cut files

*6 formats* *Millimetres* *Watertight*

### Old European Cut 3D files

The Old European Cut as exact geometry: 74 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f62fe466-3b65-4438-afae-f96f0df06c1e)

*GemCad* *96 index*

### Old European Cut cutting files

The Old European Cut as a faceting design: 58 + 16 girdles = 74 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/19f2828c-f3b0-4ed8-9631-4d28774a05e5)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# T57 Round Brilliant Cut

Source: https://digitalgemology.com/cuts/t57-round-brilliant
Buy: [T57 Round Brilliant Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/6818fad8-a74d-4c41-80a7-dfc92d1f6b11) · [T57 Round Brilliant Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/ac539570-4805-4645-af3f-8cf47ba6b593)

[Cuts](https://digitalgemology.com/cuts/) · [Historic cuts](https://digitalgemology.com/cuts/#historic)

# T57 Round Brilliant Cut

3D model and faceting diagram · 57 facets · 8.15 x 8.15 mm

The 57-facet round brilliant with a knife-edge girdle, cut to the proportions Marcel Tolkowsky published in Diamond Design in 1919. Nothing is added to the facet plan: table, 8 stars, 8 bezels, 16 upper halves, 8 pavilion mains and 16 lower halves.

[Get the files](https://digitalgemology.com/cuts/t57-round-brilliant#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t57-round-brilliant)

## About the T57 Round Brilliant Cut

The 57-facet round brilliant with a knife-edge girdle, cut to the proportions Marcel Tolkowsky published in Diamond Design in 1919. Nothing is added to the facet plan: table, 8 stars, 8 bezels, 16 upper halves, 8 pavilion mains and 16 lower halves.

It is the last step in the evolution of the brilliant before the faceted girdle became standard: the historical baseline of the modern round, kept for teaching, comparison and period work.

## T57 Round Brilliant Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** Historic cuts

**Facets** 57 planar facets

**Outline** Length to width 1.000

**Total depth** 59.2% of width

**Crown angle (main)** 34.5°

**Pavilion angle (main)** 40.8°

**Reference size** 8.15 x 8.15 x 4.83 mm at 1.81 ct in diamond

**Volume** 102.78 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.030° of the 3D model (average 0.013°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the T57 Round Brilliant Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the T57 Round Brilliant Cut*

Profile: 59.2% total depth.

![Light Return map of the T57 Round Brilliant Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/t57-round-brilliant-lightmap.webp?v=d6e1141d)

Light Return map of the T57 Round Brilliant Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the T57 Round Brilliant Cut performs in seven gemstones

**The T57 Round Brilliant Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 98 for brilliance and 87 for fire.** Its fire peaks in moissanite, at 98. In diamond it scores 92 for brilliance and 79 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 72, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the T57 Round Brilliant Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 92 (T73 benchmark 93) | 79 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 85 (T73 benchmark 86) | 98 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 98 (T73 benchmark 98) | 87 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 94 (T73 benchmark 94) | 39 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 94 (T73 benchmark 94) | 39 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 78 (T73 benchmark 78) | 40 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 71 (T73 benchmark 72) | 37 (T73 benchmark 36) | 72 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=t57-round-brilliant&stone=cubic-zirconia), where you can set the T57 Round Brilliant Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.81 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.65 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.98 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.06 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.06 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.40 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.36 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t57-round-brilliant).

## Available in…

The T57 Round Brilliant stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/t57-round-brilliant)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/t57-round-brilliant)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/t57-round-brilliant)
- [Ruby](https://digitalgemology.com/gemstones/ruby/t57-round-brilliant)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/t57-round-brilliant)
- [Emerald](https://digitalgemology.com/gemstones/emerald/t57-round-brilliant)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/t57-round-brilliant)

## Grade the T57 Round Brilliant Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=t57-round-brilliant)

## T57 Round Brilliant Cut: questions

### What files come with the T57 Round Brilliant Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 57 planar facets.

### Is there a faceting diagram for the T57 Round Brilliant Cut?

Yes. The cutting files contain a GemCad .asc design (57 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the T57 Round Brilliant Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the T57 Round Brilliant Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.030° of the 3D model (average 0.013°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the T57 Round Brilliant Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 4.83 mm, which is 1.81 ct in diamond. The same size weighs 1.65 ct in moissanite, 2.98 ct in cubic zirconia, 2.06 ct in ruby, 2.06 ct in sapphire, 1.40 ct in emerald, 1.36 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the T57 Round Brilliant Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More historic cuts

- [Old Single Cut](https://digitalgemology.com/cuts/old-single)
- [Mazarin Cut](https://digitalgemology.com/cuts/mazarin)
- [Peruzzi Cut](https://digitalgemology.com/cuts/peruzzi)
- [Old Mine Cut](https://digitalgemology.com/cuts/old-mine)
- [Old European Cut](https://digitalgemology.com/cuts/old-european)

## Get the T57 Round Brilliant Cut files

*6 formats* *Millimetres* *Watertight*

### T57 Round Brilliant Cut 3D files

The T57 Round Brilliant Cut as exact geometry: 57 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/6818fad8-a74d-4c41-80a7-dfc92d1f6b11)

*GemCad* *96 index*

### T57 Round Brilliant Cut cutting files

The T57 Round Brilliant Cut as a faceting design: 57 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/ac539570-4805-4645-af3f-8cf47ba6b593)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-M5 Cut

Source: https://digitalgemology.com/cuts/dg-m5
Buy: [DG-M5 Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/54385fa7-71f5-4b7f-8677-3e9a894ce65b) · [DG-M5 Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/1cd9a8e2-be07-4ea8-9060-d31ac824756a)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-M5 Cut

3D model and faceting diagram · 85 facets · 8.15 x 8.15 mm

DG-M5 is a round brilliant drawn for moissanite, on a twelve-fold plan rather than the classic eight. Twenty-four crown mains and twelve stars ring the table, and a single tier of twenty-four pavilion mains runs from the girdle to a pointed culet.

[Get the files](https://digitalgemology.com/cuts/dg-m5#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-m5&stone=moissanite)

## About the DG-M5 Cut

DG-M5 is a round brilliant drawn for moissanite, on a twelve-fold plan rather than the classic eight. Twenty-four crown mains and twelve stars ring the table, and a single tier of twenty-four pavilion mains runs from the girdle to a pointed culet.

There are no upper or lower halves, and the whole pavilion is cut at one angle. For a moissanite round on the classic eight-fold plan, see DG-Anteros.

## DG-M5 Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 85 planar facets (61 + 24 girdles = 85)

**Outline** Length to width 1.000

**Total depth** 60.6% of width

**Crown angle (main)** 32.0°

**Pavilion angle (main)** 41.5°

**Reference size** 8.15 x 8.15 x 4.94 mm at 1.94 ct in diamond

**Volume** 110.09 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.004° of the 3D model (average 0.003°)

**Index gear** 96

**Symmetry** 12-fold mirror-image symmetry

**Tiers** 2 crown, 1 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-M5 Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-M5 Cut*

Profile: 60.6% total depth.

![Light Return map of the DG-M5 Cut in moissanite: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-m5-lightmap.webp?v=ad790401)

Light Return map of the DG-M5 Cut in moissanite. A computed render of the model's geometry, not a photograph.

## How the DG-M5 Cut performs in seven gemstones

**The DG-M5 Cut was drawn for moissanite, and that is where it performs best, with its highest brilliance and fire together: 98 for brilliance and 100 for fire.** In diamond it scores 97 for brilliance and 67 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 85, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-M5 Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 97 (T73 benchmark 93) | 67 (T73 benchmark 78) | 85 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest fire* | 98 (T73 benchmark 86) | 100 (T73 benchmark 97) | 85 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 91 (T73 benchmark 98) | 73 (T73 benchmark 87) | 85 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 100 (T73 benchmark 94) | 39 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 100 (T73 benchmark 94) | 39 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 90 (T73 benchmark 78) | 46 (T73 benchmark 39) | 85 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 85 (T73 benchmark 72) | 50 (T73 benchmark 36) | 85 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-m5&stone=moissanite), where you can set the DG-M5 Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.94 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.77 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.19 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.20 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.20 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.50 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.46 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-m5&stone=moissanite).

## Available in…

The DG-M5 stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-m5)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-m5)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-m5)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-m5)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-m5)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-m5)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-m5)

## Grade the DG-M5 Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-m5&stone=moissanite)

## DG-M5 Cut: questions

### What files come with the DG-M5 Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 85 planar facets.

### Is there a faceting diagram for the DG-M5 Cut?

Yes. The cutting files contain a GemCad .asc design (61 + 24 girdles = 85 facets, 96 index, 12-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-M5 Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the DG-M5 Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.004° of the 3D model (average 0.003°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-M5 Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 4.94 mm, which is 1.94 ct in diamond. The same size weighs 1.77 ct in moissanite, 3.19 ct in cubic zirconia, 2.20 ct in ruby, 2.20 ct in sapphire, 1.50 ct in emerald, 1.46 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-M5 Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-M5 Cut files

*6 formats* *Millimetres* *Watertight*

### DG-M5 Cut 3D files

The DG-M5 Cut as exact geometry: 85 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/54385fa7-71f5-4b7f-8677-3e9a894ce65b)

*GemCad* *96 index*

### DG-M5 Cut cutting files

The DG-M5 Cut as a faceting design: 61 + 24 girdles = 85 facets, 96 index, 12-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/1cd9a8e2-be07-4ea8-9060-d31ac824756a)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Miliano Cut

Source: https://digitalgemology.com/cuts/dg-miliano
Buy: [DG-Miliano Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/64f6a797-2b19-41a1-93eb-7002ff5b6ece) · [DG-Miliano Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/cc318b04-5437-4caa-b24c-db44b0a61593)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Miliano Cut

3D model and faceting diagram · 177 facets · 8.15 x 8.15 mm

DG-Miliano is a round brilliant drawn for moissanite: eight stars, eight crown mains and sixteen upper girdle facets around the table, over a girdle of ninety-six facets.

[Get the files](https://digitalgemology.com/cuts/dg-miliano#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-miliano&stone=moissanite)

## About the DG-Miliano Cut

DG-Miliano is a round brilliant drawn for moissanite: eight stars, eight crown mains and sixteen upper girdle facets around the table, over a girdle of ninety-six facets.

Its pavilion is cut in three tiers of sixteen, steepest at the girdle and shallowest at the point, and the girdle is kept thin.

## DG-Miliano Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 177 planar facets (81 + 96 girdles = 177)

**Outline** Length to width 1.000

**Total depth** 60.3% of width

**Crown angle (main)** 32.0°

**Pavilion angle (main)** 38.3°

**Reference size** 8.15 x 8.15 x 4.92 mm at 2.03 ct in diamond

**Volume** 115.38 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 3 crown, 3 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Miliano Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Miliano Cut*

Profile: 60.3% total depth.

![Light Return map of the DG-Miliano Cut in moissanite: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-miliano-lightmap.webp?v=56467a46)

Light Return map of the DG-Miliano Cut in moissanite. A computed render of the model's geometry, not a photograph.

## How the DG-Miliano Cut performs in seven gemstones

**The DG-Miliano Cut was drawn for moissanite, where it scores 86 for brilliance and 93 for fire; it performs best in cubic zirconia, where its brilliance and fire together are highest: 97 for brilliance and 90 for fire.** In diamond it scores 95 for brilliance and 82 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 98, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Miliano Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 95 (T73 benchmark 93) | 82 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 86 (T73 benchmark 86) | 93 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 97 (T73 benchmark 98) | 90 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 90 (T73 benchmark 94) | 35 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 90 (T73 benchmark 94) | 35 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 67 (T73 benchmark 78) | 34 (T73 benchmark 39) | 98 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 60 (T73 benchmark 72) | 28 (T73 benchmark 36) | 98 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-miliano&stone=cubic-zirconia), where you can set the DG-Miliano Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 38.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, emerald, amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.03 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.86 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.35 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.31 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.31 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 88% | 1.57 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 88% | 1.53 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-miliano&stone=moissanite).

## Available in…

The DG-Miliano stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-miliano)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-miliano)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-miliano)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-miliano)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-miliano)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-miliano)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-miliano)

## Grade the DG-Miliano Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-miliano&stone=moissanite)

## DG-Miliano Cut: questions

### What files come with the DG-Miliano Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 177 planar facets.

### Is there a faceting diagram for the DG-Miliano Cut?

Yes. The cutting files contain a GemCad .asc design (81 + 96 girdles = 177 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Miliano Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 38.3°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for diamond, moissanite, emerald, amethyst.

### How accurate is the DG-Miliano Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Miliano Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 4.92 mm, which is 2.03 ct in diamond. The same size weighs 1.86 ct in moissanite, 3.35 ct in cubic zirconia, 2.31 ct in ruby, 2.31 ct in sapphire, 1.57 ct in emerald, 1.53 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Miliano Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Miliano Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Miliano Cut 3D files

The DG-Miliano Cut as exact geometry: 177 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/64f6a797-2b19-41a1-93eb-7002ff5b6ece)

*GemCad* *96 index*

### DG-Miliano Cut cutting files

The DG-Miliano Cut as a faceting design: 81 + 96 girdles = 177 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/cc318b04-5437-4caa-b24c-db44b0a61593)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Rafaello Cut

Source: https://digitalgemology.com/cuts/dg-rafaello
Buy: [DG-Rafaello Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/c8230206-c376-445e-95fa-4eb45712a193) · [DG-Rafaello Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/778e2716-a27b-4192-95b1-791b03b338e4)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Rafaello Cut

3D model and faceting diagram · 145 facets · 8.15 x 8.15 mm

DG-Rafaello is a twelve-fold round brilliant drawn for diamond. Its pavilion is cut in five tiers, each a little shallower than the last from the girdle down to the point, where a classic round has one main angle and a row of lower halves.

[Get the files](https://digitalgemology.com/cuts/dg-rafaello#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-rafaello)

## About the DG-Rafaello Cut

DG-Rafaello is a twelve-fold round brilliant drawn for diamond. Its pavilion is cut in five tiers, each a little shallower than the last from the girdle down to the point, where a classic round has one main angle and a row of lower halves.

Above the girdle it is a plain twelve-fold crown: twenty-four crown mains and twelve stars around the table. Below it, the stepped pavilion curves gently from girdle to point instead of forming one straight cone.

## DG-Rafaello Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 145 planar facets (121 + 24 girdles = 145)

**Outline** Length to width 1.000

**Total depth** 59.0% of width

**Crown angle (main)** 33.0°

**Pavilion angle (main)** 40.0°

**Reference size** 8.15 x 8.15 x 4.81 mm at 1.85 ct in diamond

**Volume** 105.36 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.015° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 12-fold mirror-image symmetry

**Tiers** 2 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Rafaello Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Rafaello Cut*

Profile: 59.0% total depth.

![Light Return map of the DG-Rafaello Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-rafaello-lightmap.webp?v=74279a59)

Light Return map of the DG-Rafaello Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the DG-Rafaello Cut performs in seven gemstones

**The DG-Rafaello Cut performs best in cubic zirconia, where its brilliance and fire together are highest: 100 for brilliance and 87 for fire.** Its fire peaks in moissanite, at 90. In diamond it scores 94 for brilliance and 80 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 96, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Rafaello Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 94 (T73 benchmark 93) | 80 (T73 benchmark 78) | 96 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 84 (T73 benchmark 86) | 90 (T73 benchmark 97) | 96 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 100 (T73 benchmark 98) | 87 (T73 benchmark 87) | 96 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 85 (T73 benchmark 94) | 25 (T73 benchmark 37) | 96 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 85 (T73 benchmark 94) | 25 (T73 benchmark 37) | 96 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 54 (T73 benchmark 78) | 28 (T73 benchmark 39) | 96 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 45 (T73 benchmark 72) | 26 (T73 benchmark 36) | 96 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-rafaello&stone=cubic-zirconia), where you can set the DG-Rafaello Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The pavilion mains of this design sit at 40.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.85 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.70 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.06 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.11 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.11 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.43 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 82% | 1.40 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-rafaello).

## Available in…

The DG-Rafaello stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-rafaello)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-rafaello)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-rafaello)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-rafaello)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-rafaello)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-rafaello)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-rafaello)

## Grade the DG-Rafaello Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-rafaello)

## DG-Rafaello Cut: questions

### What files come with the DG-Rafaello Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 145 planar facets.

### Is there a faceting diagram for the DG-Rafaello Cut?

Yes. The cutting files contain a GemCad .asc design (121 + 24 girdles = 145 facets, 96 index, 12-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Rafaello Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, the whole pavilion reflects head-on light; in Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised. The pavilion mains of this design sit at 40.0°. For head-on light to reflect off both sides of the pavilion and leave through the table, a round design needs at least 40.4° in amethyst, so the mains are worth steepening for amethyst.

### How accurate is the DG-Rafaello Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.015° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Rafaello Cut model, and what does it weigh?

The model measures 8.15 x 8.15 x 4.81 mm, which is 1.85 ct in diamond. The same size weighs 1.70 ct in moissanite, 3.06 ct in cubic zirconia, 2.11 ct in ruby, 2.11 ct in sapphire, 1.43 ct in emerald, 1.40 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Rafaello Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Rafaello Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Rafaello Cut 3D files

The DG-Rafaello Cut as exact geometry: 145 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/c8230206-c376-445e-95fa-4eb45712a193)

*GemCad* *96 index*

### DG-Rafaello Cut cutting files

The DG-Rafaello Cut as a faceting design: 121 + 24 girdles = 145 facets, 96 index, 12-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/778e2716-a27b-4192-95b1-791b03b338e4)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Bowtie Cut

Source: https://digitalgemology.com/cuts/dg-bowtie
Buy: [DG-Bowtie Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/b733444a-f43f-4d55-a1db-20905f5affdc) · [DG-Bowtie Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/a03576f3-7240-4de1-b392-c6f143d6a69e)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Bowtie Cut

3D model and faceting diagram · 87 facets · 10.65 x 5.17 mm

DG-Bowtie is the library's first marquise, a diamond design kept under its own name when the Marquise was remodelled. It is cut nearly as deep as it is wide, where the trade aims for around 60%.

[Get the files](https://digitalgemology.com/cuts/dg-bowtie#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-bowtie)

## About the DG-Bowtie Cut

DG-Bowtie is the library's first marquise, a diamond design kept under its own name when the Marquise was remodelled. It is cut nearly as deep as it is wide, where the trade aims for around 60%.

Face-up it shows the bow-tie that elongated brilliants are prone to: a dark band across the middle of the stone. It is here to study beside the remodelled Marquise, and to render when a bow-tie is what you want to show.

## DG-Bowtie Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 87 planar facets (67 + 20 girdles = 87)

**Outline** Length to width 2.059

**Total depth** 93.8% of width

**Crown angle (main)** 49.0°

**Pavilion angle (main)** 42.0°

**Reference size** 10.65 x 5.17 x 4.85 mm at 1.59 ct in diamond

**Volume** 90.22 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.004° of the 3D model (average under 0.001°); girdle facets within 0.043°

**Index gear** 64

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 10 crown, 8 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Bowtie Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Bowtie Cut*

Profile: 93.8% total depth.

![Light Return map of the DG-Bowtie Cut in diamond: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-bowtie-lightmap.webp?v=e213d3c4)

Light Return map of the DG-Bowtie Cut in diamond. A computed render of the model's geometry, not a photograph.

## How the DG-Bowtie Cut performs in seven gemstones

**The DG-Bowtie Cut performs best in moissanite, where its brilliance and fire together are highest: 29 for brilliance and 98 for fire.** In diamond it scores 27 for brilliance and 82 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 86, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Bowtie Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 27 (T73 benchmark 93) | 82 (T73 benchmark 78) | 86 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* *Highest brilliance* *Highest fire* | 29 (T73 benchmark 86) | 98 (T73 benchmark 97) | 86 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 26 (T73 benchmark 98) | 90 (T73 benchmark 87) | 86 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 18 (T73 benchmark 94) | 57 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 18 (T73 benchmark 94) | 57 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 13 (T73 benchmark 78) | 70 (T73 benchmark 39) | 86 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 12 (T73 benchmark 72) | 64 (T73 benchmark 36) | 86 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-bowtie&stone=moissanite), where you can set the DG-Bowtie Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 1.59 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.45 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 2.62 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 1.80 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 1.80 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.23 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.20 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-bowtie).

## Available in…

The DG-Bowtie stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-bowtie)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-bowtie)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-bowtie)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-bowtie)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-bowtie)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-bowtie)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-bowtie)

## Grade the DG-Bowtie Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-bowtie)

## DG-Bowtie Cut: questions

### What files come with the DG-Bowtie Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 87 planar facets.

### Is there a faceting diagram for the DG-Bowtie Cut?

Yes. The cutting files contain a GemCad .asc design (67 + 20 girdles = 87 facets, 64 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Bowtie Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the DG-Bowtie Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.004° of the 3D model (average under 0.001°); girdle facets within 0.043°. The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Bowtie Cut model, and what does it weigh?

The model measures 10.65 x 5.17 x 4.85 mm, which is 1.59 ct in diamond. The same size weighs 1.45 ct in moissanite, 2.62 ct in cubic zirconia, 1.80 ct in ruby, 1.80 ct in sapphire, 1.23 ct in emerald, 1.20 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Bowtie Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Bowtie Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Bowtie Cut 3D files

The DG-Bowtie Cut as exact geometry: 87 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/b733444a-f43f-4d55-a1db-20905f5affdc)

*GemCad* *64 index*

### DG-Bowtie Cut cutting files

The DG-Bowtie Cut as a faceting design: 67 + 20 girdles = 87 facets, 64 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 64 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/a03576f3-7240-4de1-b392-c6f143d6a69e)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Elongated Hexagon Cut

Source: https://digitalgemology.com/cuts/dg-elongated-hexagon
Buy: [DG-Elongated Hexagon Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/6e85a867-09c4-4537-8dfc-a52e955e13ac) · [DG-Elongated Hexagon Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/8a06e2a3-b352-4f8f-8ddc-52e4b7a4b4ae)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Elongated Hexagon Cut

3D model and faceting diagram · 32 facets · 11.44 x 6.73 mm

An elongated hexagon with square points, step cut the same on both faces: two steps either side of a six-facet girdle, a table in front and a flat of the same size behind. Drawn for emerald.

[Get the files](https://digitalgemology.com/cuts/dg-elongated-hexagon#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-elongated-hexagon&stone=emerald)

## About the DG-Elongated Hexagon Cut

An elongated hexagon with square points, step cut the same on both faces: two steps either side of a six-facet girdle, a table in front and a flat of the same size behind. Drawn for emerald.

Because both faces are finished, it reads the same from either side, for pendants and open settings where the back is on show. The back flat is a window by design, so the head-on figures on this page leave it out. In emerald and amethyst the steps beside the table also sit below the critical angle and let some light through.

## DG-Elongated Hexagon Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 32 planar facets (26 + 6 girdles = 32)

**Outline** Length to width 1.700

**Total depth** 45.3% of width

**Table** 50.0% of width

**Crown angle (main)** 36.0°

**Pavilion angle (main)** 36.0°

**Reference size** 11.44 x 6.73 x 3.05 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 2-fold mirror-image symmetry

**Tiers** 4 crown, 4 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Elongated Hexagon Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Elongated Hexagon Cut*

Profile: 45.3% total depth.

![Light Return map of the DG-Elongated Hexagon Cut in emerald: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-elongated-hexagon-lightmap.webp?v=58032132)

Light Return map of the DG-Elongated Hexagon Cut in emerald. A computed render of the model's geometry, not a photograph.

## How the DG-Elongated Hexagon Cut performs in seven gemstones

**The DG-Elongated Hexagon Cut was drawn for emerald, where it scores 25 for brilliance and 69 for fire; it performs best in moissanite (20 for brilliance, 93 for fire) and cubic zirconia (16 for brilliance, 97 for fire), which tie on brilliance and fire together.** Its brilliance peaks in ruby and sapphire, at 27. In diamond it scores 12 for brilliance and 97 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 51, comes from its pattern of facets, so it is the same in every stone. Its back flat is a window by design, and these scores count the light through it as lost.

**Brilliance, fire and scintillation of the DG-Elongated Hexagon Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) *Highest fire* | 12 (T73 benchmark 93) | 97 (T73 benchmark 78) | 51 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Best overall* | 20 (T73 benchmark 86) | 93 (T73 benchmark 97) | 51 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest fire* | 16 (T73 benchmark 98) | 97 (T73 benchmark 87) | 51 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) *Highest brilliance* | 27 (T73 benchmark 94) | 72 (T73 benchmark 37) | 51 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) *Highest brilliance* | 27 (T73 benchmark 94) | 72 (T73 benchmark 37) | 51 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 25 (T73 benchmark 78) | 69 (T73 benchmark 39) | 51 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 25 (T73 benchmark 72) | 64 (T73 benchmark 36) | 51 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-elongated-hexagon&stone=moissanite), where you can set the DG-Elongated Hexagon Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size. The back flat of this two-sided stone is a window by design and is left out of the figure.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 24% | 1.55 ct | Steepen the pavilion |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 24% | 1.51 ct | Steepen the pavilion |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-elongated-hexagon&stone=emerald).

## Available in…

The DG-Elongated Hexagon stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-elongated-hexagon)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-elongated-hexagon)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-elongated-hexagon)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-elongated-hexagon)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-elongated-hexagon)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-elongated-hexagon)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-elongated-hexagon)

## Grade the DG-Elongated Hexagon Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-elongated-hexagon&stone=emerald)

## DG-Elongated Hexagon Cut: questions

### What files come with the DG-Elongated Hexagon Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 32 planar facets.

### Is there a faceting diagram for the DG-Elongated Hexagon Cut?

Yes. The cutting files contain a GemCad .asc design (26 + 6 girdles = 32 facets, 96 index, 2-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Elongated Hexagon Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, the whole pavilion reflects head-on light; in Emerald, Amethyst, part of the pavilion lets light out of the back, so a steeper pavilion is advised.

### How accurate is the DG-Elongated Hexagon Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Elongated Hexagon Cut model, and what does it weigh?

The model measures 11.44 x 6.73 x 3.05 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Elongated Hexagon Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Elongated Hexagon Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Elongated Hexagon Cut 3D files

The DG-Elongated Hexagon Cut as exact geometry: 32 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/6e85a867-09c4-4537-8dfc-a52e955e13ac)

*GemCad* *96 index*

### DG-Elongated Hexagon Cut cutting files

The DG-Elongated Hexagon Cut as a faceting design: 26 + 6 girdles = 32 facets, 96 index, 2-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/8a06e2a3-b352-4f8f-8ddc-52e4b7a4b4ae)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Cabochon Cut

Source: https://digitalgemology.com/cuts/dg-cabochon
Buy: [DG-Cabochon Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/5b8a47ea-a607-42fd-90b9-f173b98744cd) · [DG-Cabochon Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/203d3a68-5eb3-49e2-a73d-f5046968af8f)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Cabochon Cut

3D model and faceting diagram · 76 facets · 6.26 x 5.96 mm

A faceted cabochon: seventy-five triangular facets on a five-fold pattern, rising from a flat pentagonal base to a point. It is widest a little below the middle, and the crown and pavilion triangles meet in a zig-zag at the widest ring, with no girdle band. Drawn for ruby.

[Get the files](https://digitalgemology.com/cuts/dg-cabochon#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-cabochon&stone=ruby)

## About the DG-Cabochon Cut

A faceted cabochon: seventy-five triangular facets on a five-fold pattern, rising from a flat pentagonal base to a point. It is widest a little below the middle, and the crown and pavilion triangles meet in a zig-zag at the widest ring, with no girdle band. Drawn for ruby.

Like a cabochon it has no table: it is made to be seen from above and set on its flat base, while every surface of the dome stays faceted.

## DG-Cabochon Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 76 planar facets

**Outline** Length to width 1.051

**Total depth** 112.9% of width

**Table** None: the top closes to a point, like a cabochon's dome

**Crown angle (main)** 58.0°

**Pavilion angle (main)** 69.5°

**Reference size** 6.26 x 5.96 x 6.73 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within 0.004° of the 3D model (average under 0.001°)

**Index gear** 120

**Symmetry** 5-fold mirror-image symmetry

**Tiers** 6 crown, 5 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Cabochon Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Cabochon Cut*

Profile: 112.9% total depth.

![Light Return map of the DG-Cabochon Cut in ruby: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-cabochon-lightmap.webp?v=e5fa5eed)

Light Return map of the DG-Cabochon Cut in ruby. A computed render of the model's geometry, not a photograph.

## The DG-Cabochon Cut in seven gemstones

Brilliance, fire and scintillation are not measured for the DG-Cabochon Cut: our census follows light that enters through the table and returns face up, and this stone has no table.

### Critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. This stone has no table, so the head-on measure used for the other cuts does not apply to it; the table below gives what the model weighs in each stone.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | n/a | 2.00 ct | Not measured: no table |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | n/a | 1.83 ct | Not measured: no table |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | n/a | 3.30 ct | Not measured: no table |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | n/a | 2.27 ct | Not measured: no table |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | n/a | 2.27 ct | Not measured: no table |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | n/a | 1.55 ct | Not measured: no table |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | n/a | 1.51 ct | Not measured: no table |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-cabochon&stone=ruby).

## Grade the DG-Cabochon Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-cabochon&stone=ruby)

## DG-Cabochon Cut: questions

### What files come with the DG-Cabochon Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 76 planar facets.

### Is there a faceting diagram for the DG-Cabochon Cut?

Yes. The cutting files contain a GemCad .asc design (76 facets, 120 index, 5-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Cabochon Cut work in sapphire, emerald or amethyst?

This stone has no table, so the head-on light measure we use for the other cuts does not apply: light enters and leaves through its steep facets rather than through a table. Its Light Return map shows how it behaves in each stone.

### How accurate is the DG-Cabochon Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within 0.004° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Cabochon Cut model, and what does it weigh?

The model measures 6.26 x 5.96 x 6.73 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Cabochon Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Cabochon Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Cabochon Cut 3D files

The DG-Cabochon Cut as exact geometry: 76 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/5b8a47ea-a607-42fd-90b9-f173b98744cd)

*GemCad* *120 index*

### DG-Cabochon Cut cutting files

The DG-Cabochon Cut as a faceting design: 76 facets, 120 index, 5-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 120 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/203d3a68-5eb3-49e2-a73d-f5046968af8f)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# DG-Octagonal Kite Cut

Source: https://digitalgemology.com/cuts/dg-octagonal-kite
Buy: [DG-Octagonal Kite Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/7f8bb426-65ee-4e34-a5ca-8afca2cfd900) · [DG-Octagonal Kite Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/25afd253-e939-428f-b41c-144509a92281)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# DG-Octagonal Kite Cut

3D model and faceting diagram · 41 facets · 7.61 x 7.61 mm

An eight-fold cut with a large octagonal table. Eight kites run from the girdle corners to the table edges over eight triangles on the girdle flats, and the pavilion repeats the pattern in long kites that close to a point.

[Get the files](https://digitalgemology.com/cuts/dg-octagonal-kite#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-octagonal-kite&stone=emerald)

## About the DG-Octagonal Kite Cut

An eight-fold cut with a large octagonal table. Eight kites run from the girdle corners to the table edges over eight triangles on the girdle flats, and the pavilion repeats the pattern in long kites that close to a point.

Drawn for emerald: the pavilion kites stand clear of its critical angle, so head-on light reflects from the whole pavilion. A bold, symmetrical centre stone for coloured gems.

## DG-Octagonal Kite Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 41 planar facets (33 + 8 girdles = 41)

**Outline** Length to width 1.000

**Total depth** 70.0% of width

**Table** 55.0% of width

**Crown angle (main)** 32.0°

**Pavilion angle (main)** 43.0°

**Reference size** 7.61 x 7.61 x 5.33 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 8-fold mirror-image symmetry

**Tiers** 2 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the DG-Octagonal Kite Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the DG-Octagonal Kite Cut*

Profile: 70.0% total depth.

![Light Return map of the DG-Octagonal Kite Cut in emerald: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/bl-octagonal-kite-lightmap.webp?v=65ad3d03)

Light Return map of the DG-Octagonal Kite Cut in emerald. A computed render of the model's geometry, not a photograph.

## How the DG-Octagonal Kite Cut performs in seven gemstones

**The DG-Octagonal Kite Cut was drawn for emerald, where it scores 54 for brilliance and 40 for fire; it performs best in cubic zirconia, where its brilliance and fire together are highest: 93 for brilliance and 92 for fire.** Its fire peaks in moissanite, at 95. In diamond it scores 88 for brilliance and 82 for fire, against 93 and 78 for the T73 benchmark. Its scintillation, 60, comes from its pattern of facets, so it is the same in every stone.

**Brilliance, fire and scintillation of the DG-Octagonal Kite Cut in seven gemstones, out of 100, with the T73 Round Brilliant benchmark in each**

| Gemstone | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 88 (T73 benchmark 93) | 82 (T73 benchmark 78) | 60 (T73 benchmark 80) |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) *Highest fire* | 71 (T73 benchmark 86) | 95 (T73 benchmark 97) | 60 (T73 benchmark 80) |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) *Best overall* *Highest brilliance* | 93 (T73 benchmark 98) | 92 (T73 benchmark 87) | 60 (T73 benchmark 80) |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 74 (T73 benchmark 94) | 34 (T73 benchmark 37) | 60 (T73 benchmark 80) |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 74 (T73 benchmark 94) | 34 (T73 benchmark 37) | 60 (T73 benchmark 80) |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 54 (T73 benchmark 78) | 40 (T73 benchmark 39) | 60 (T73 benchmark 80) |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 50 (T73 benchmark 72) | 33 (T73 benchmark 36) | 60 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in the same stone **Best overall:** the highest brilliance and fire together

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle its facets give as it moves, is read from its facets. They are the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-octagonal-kite&stone=cubic-zirconia), where you can set the DG-Octagonal Kite Cut against any other cut. A simulation of the geometry, not a grading report.

### Head-on reflection, critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. For each stone we measured how much of this model's pavilion, as seen face-down, is steeper than that angle, and what the model weighs at its reference size.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | 100% | 2.00 ct | Holds head-on light |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | 100% | 1.83 ct | Holds head-on light |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | 100% | 3.30 ct | Holds head-on light |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | 100% | 2.27 ct | Holds head-on light |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | 100% | 1.55 ct | Holds head-on light |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | 100% | 1.51 ct | Holds head-on light |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-octagonal-kite&stone=emerald).

## Available in…

The DG-Octagonal Kite stone by stone: what each gemstone gains and loses in this cut, measured.

- [Diamond](https://digitalgemology.com/gemstones/diamond/dg-octagonal-kite)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite/dg-octagonal-kite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia/dg-octagonal-kite)
- [Ruby](https://digitalgemology.com/gemstones/ruby/dg-octagonal-kite)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire/dg-octagonal-kite)
- [Emerald](https://digitalgemology.com/gemstones/emerald/dg-octagonal-kite)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst/dg-octagonal-kite)

## Grade the DG-Octagonal Kite Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dg-octagonal-kite&stone=emerald)

## DG-Octagonal Kite Cut: questions

### What files come with the DG-Octagonal Kite Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 41 planar facets.

### Is there a faceting diagram for the DG-Octagonal Kite Cut?

Yes. The cutting files contain a GemCad .asc design (33 + 8 girdles = 41 facets, 96 index, 8-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the DG-Octagonal Kite Cut work in sapphire, emerald or amethyst?

We measured the pavilion of this model against the critical angle of each stone. In Diamond, Moissanite, Cubic Zirconia, Ruby, Sapphire, Emerald, Amethyst, the whole pavilion reflects head-on light.

### How accurate is the DG-Octagonal Kite Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the DG-Octagonal Kite Cut model, and what does it weigh?

The model measures 7.61 x 7.61 x 5.33 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the DG-Octagonal Kite Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [Elongated Hexagonal Bipyramid Cut](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid)

## Get the DG-Octagonal Kite Cut files

*6 formats* *Millimetres* *Watertight*

### DG-Octagonal Kite Cut 3D files

The DG-Octagonal Kite Cut as exact geometry: 41 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/7f8bb426-65ee-4e34-a5ca-8afca2cfd900)

*GemCad* *96 index*

### DG-Octagonal Kite Cut cutting files

The DG-Octagonal Kite Cut as a faceting design: 33 + 8 girdles = 41 facets, 96 index, 8-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/25afd253-e939-428f-b41c-144509a92281)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Elongated Hexagonal Bipyramid Cut

Source: https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid
Buy: [Elongated Hexagonal Bipyramid Cut 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/9dea79b3-5ce4-4b94-85f9-e3476f154d46) · [Elongated Hexagonal Bipyramid Cut cutting files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/0b8569dc-9d65-44aa-9d19-b8f816b287b4)

[Cuts](https://digitalgemology.com/cuts/) · [House cuts](https://digitalgemology.com/cuts/#house)

# Elongated Hexagonal Bipyramid Cut

3D model and faceting diagram · 30 facets · 6.03 x 5.22 mm

A hexagonal double point: six kites run from the girdle corners to each point, over six steep triangles standing on the girdle flats. It has no table and no culet, and the lower point is the longer of the two. Drawn for emerald.

[Get the files](https://digitalgemology.com/cuts/elongated-hexagonal-bipyramid#buy) [Grade it in 3D](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=elongated-hexagonal-bipyramid&stone=emerald)

## About the Elongated Hexagonal Bipyramid Cut

A hexagonal double point: six kites run from the girdle corners to each point, over six steep triangles standing on the girdle flats. It has no table and no culet, and the lower point is the longer of the two. Drawn for emerald.

At more than twice as tall as it is wide, it is a drop and pendant stone rather than one set face-up. With no table to look into, the head-on light measure used on this site does not apply to it.

## Elongated Hexagonal Bipyramid Cut specifications

Measured from the delivered model, not quoted from a standard.

**Category** House cuts

**Facets** 30 planar facets (24 + 6 girdles = 30)

**Outline** Length to width 1.155

**Total depth** 235.8% of width

**Table** None: the stone closes to a point at both ends

**Crown angle (main)** 70.0°

**Pavilion angle (main)** 66.5°

**Reference size** 6.03 x 5.22 x 12.31 mm at 2.00 ct in diamond

**Volume** 113.64 mm³

**Cutting file accuracy** Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°)

**Index gear** 96

**Symmetry** 6-fold mirror-image symmetry

**Tiers** 2 crown, 2 pavilion

**Files** STEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

## Face-up and profile

*Face-up facet diagram of the Elongated Hexagonal Bipyramid Cut*

Face-up: the crown facets, drawn from the model's own edges.

*Side profile of the Elongated Hexagonal Bipyramid Cut*

Profile: 235.8% total depth.

![Light Return map of the Elongated Hexagonal Bipyramid Cut in emerald: a computed render showing direct, indirect and contrast light across the face-up stone.](https://digitalgemology.com/img/cuts/elongated-hexagonal-bipyramid-lightmap.webp?v=968e1e0f)

Light Return map of the Elongated Hexagonal Bipyramid Cut in emerald. A computed render of the model's geometry, not a photograph.

## The Elongated Hexagonal Bipyramid Cut in seven gemstones

Brilliance, fire and scintillation are not measured for the Elongated Hexagonal Bipyramid Cut: our census follows light that enters through the table and returns face up, and this stone has no table.

### Critical angle and weight in each stone

The same geometry behaves differently in every material. Light that meets a pavilion facet at less than the stone's critical angle passes straight out of the back instead of reflecting, which shows face-up as a window. This stone has no table, so the head-on measure used for the other cuts does not apply to it; the table below gives what the model weighs in each stone.

| Stone | Refractive index | Critical angle | Pavilion reflecting head-on light | Weight at this size | Verdict |
| --- | --- | --- | --- | --- | --- |
| [Diamond](https://digitalgemology.com/gemstones/diamond) | 2.417 | 24.4° | n/a | 2.00 ct | Not measured: no table |
| [Moissanite](https://digitalgemology.com/gemstones/moissanite) | 2.648 to 2.691 | 22.2° | n/a | 1.83 ct | Not measured: no table |
| [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia) | 2.15 to 2.18 | 27.7° | n/a | 3.30 ct | Not measured: no table |
| [Ruby](https://digitalgemology.com/gemstones/ruby) | 1.762 to 1.770 | 34.6° | n/a | 2.27 ct | Not measured: no table |
| [Sapphire](https://digitalgemology.com/gemstones/sapphire) | 1.762 to 1.770 | 34.6° | n/a | 2.27 ct | Not measured: no table |
| [Emerald](https://digitalgemology.com/gemstones/emerald) | 1.577 to 1.583 | 39.4° | n/a | 1.55 ct | Not measured: no table |
| [Amethyst](https://digitalgemology.com/gemstones/amethyst) | 1.544 to 1.553 | 40.4° | n/a | 1.51 ct | Not measured: no table |

Head-on light, first reflection. The full Light Return, traced in each of these gemstones, is in the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=elongated-hexagonal-bipyramid&stone=emerald).

## Grade the Elongated Hexagonal Bipyramid Cut in 3D

Open it in the 3D Gemstone Simulator: set its carat, colour, clarity and cut grade in any of seven gemstones, turn it under ten kinds of light, and watch its 3D gemstone report change as you go. Free, in your browser.

[Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=elongated-hexagonal-bipyramid&stone=emerald)

## Elongated Hexagonal Bipyramid Cut: questions

### What files come with the Elongated Hexagonal Bipyramid Cut 3D model?

Six formats: STEP (the exact faceted solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 30 planar facets.

### Is there a faceting diagram for the Elongated Hexagonal Bipyramid Cut?

Yes. The cutting files contain a GemCad .asc design (24 + 6 girdles = 30 facets, 96 index, 6-fold mirror-image symmetry), a tier table with angles, indices and cutting order in CSV, and a printable faceting diagram.

### Does the Elongated Hexagonal Bipyramid Cut work in sapphire, emerald or amethyst?

This stone has no table, so the head-on light measure we use for the other cuts does not apply: light enters and leaves through its steep facets rather than through a table. Its Light Return map shows how it behaves in each stone.

### How accurate is the Elongated Hexagonal Bipyramid Cut cutting file?

We check it facet by facet against the 3D model it was written from. Every crown and pavilion facet within under 0.001° of the 3D model (average under 0.001°). The angles are the ones you set on the machine; the 3D model is the same stone you render or set.

### How big is the Elongated Hexagonal Bipyramid Cut model, and what does it weigh?

The model measures 6.03 x 5.22 x 12.31 mm, which is 2.00 ct in diamond. The same size weighs 1.83 ct in moissanite, 3.30 ct in cubic zirconia, 2.27 ct in ruby, 2.27 ct in sapphire, 1.55 ct in emerald, 1.51 ct in amethyst. Scale it uniformly to any size: weight follows the cube of the size.

### Can I 3D print or cast the Elongated Hexagonal Bipyramid Cut model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact faceted solid in CAD.

## More house cuts

- [DG-M5 Cut](https://digitalgemology.com/cuts/dg-m5)
- [DG-Miliano Cut](https://digitalgemology.com/cuts/dg-miliano)
- [DG-Rafaello Cut](https://digitalgemology.com/cuts/dg-rafaello)
- [DG-Bowtie Cut](https://digitalgemology.com/cuts/dg-bowtie)
- [DG-Elongated Hexagon Cut](https://digitalgemology.com/cuts/dg-elongated-hexagon)
- [DG-Cabochon Cut](https://digitalgemology.com/cuts/dg-cabochon)
- [DG-Octagonal Kite Cut](https://digitalgemology.com/cuts/dg-octagonal-kite)

## Get the Elongated Hexagonal Bipyramid Cut files

*6 formats* *Millimetres* *Watertight*

### Elongated Hexagonal Bipyramid Cut 3D files

The Elongated Hexagonal Bipyramid Cut as exact geometry: 30 planar facets, real-world scale, ready for CAD, rendering, printing and casting.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/9dea79b3-5ce4-4b94-85f9-e3476f154d46)

*GemCad* *96 index*

### Elongated Hexagonal Bipyramid Cut cutting files

The Elongated Hexagonal Bipyramid Cut as a faceting design: 24 + 6 girdles = 30 facets, 96 index, 6-fold mirror-image symmetry, ready for the machine.

- **.asc** GemCad design file, 96 index gear
- **.csv** Tier table: angles, indices and cutting order
- **Diagram** Printable faceting diagram

€9.99 · Personal use [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/0b8569dc-9d65-44aa-9d19-b8f816b287b4)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Tetrahedron

Source: https://digitalgemology.com/cuts/tetrahedron
Buy: [Tetrahedron 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/f5f032b8-54d4-4a8f-b0f3-f63967a287c6)

[Cuts](https://digitalgemology.com/cuts/) · [Platonic solids](https://digitalgemology.com/cuts/#platonic)

# Tetrahedron

3D model · 4 faces · 10 mm circumsphere

The simplest solid that encloses a volume: four equilateral triangles, meeting three at each of four vertices. It is the only Platonic solid that is its own dual: join the centres of its four faces and you get a second tetrahedron.

[Get the files](https://digitalgemology.com/cuts/tetrahedron#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=tetrahedron)

## About the tetrahedron

The simplest solid that encloses a volume: four equilateral triangles, meeting three at each of four vertices. It is the only Platonic solid that is its own dual: join the centres of its four faces and you get a second tetrahedron.

Sphalerite and tetrahedrite grow as tetrahedra, which is where tetrahedrite gets its name. Of the five solids it fills the least of its own circumsphere.

## Tetrahedron specifications

Taken from the delivered model and checked against its mesh every time this page is built.

**Category** Platonic solids

**Faces** 4 equilateral triangles, all congruent

**Vertices** 4, 3 faces meeting at each

**Edges** 6, each 8.165 mm

**Schläfli symbol**{3,3}

**Dual** Itself: the tetrahedron is self-dual

**Dihedral angle** 70.529°, the same on every edge

**Size** 8.165 x 7.071 x 6.667 mm, resting on a face

**Circumsphere** 10.000 mm across, through every vertex

**Midsphere** 5.774 mm across, touching every edge

**Insphere** 3.333 mm across, touching every face

**Surface area** 115.47 mm²

**Volume** 64.15 mm³

**Sphere fill** 12.3% of its circumsphere

**Isoperimetric quotient** 0.302 (a sphere is 1)

**Weight at this size** 1.13 ct in diamond, 1.03 ct in moissanite

**Orientation** Millimetres, Y up, one face resting on the ground plane, centred on the Y axis

**Files** STEP, 3DM, STL, OBJ, FBX, GLB. 3D files only, no cutting files

## Tetrahedron: questions

### What files come with the Tetrahedron 3D model?

Six formats: STEP (the exact solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 4 flat faces.

### Is there a cutting file for the Tetrahedron?

No. The Platonic solids are sold as 3D models only, with no faceting design, tier table or diagram.

### How big is the Tetrahedron model?

It measures 8.165 x 7.071 x 6.667 mm resting on a face, with every vertex on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. Scale it uniformly to any size: for a 10 mm edge, scale by 1.2247.

### How is the Tetrahedron model oriented?

Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis, which keeps the cube square to the axes.

### Can I 3D print or cast the Tetrahedron model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.

## More Platonic solids

- [Hexahedron](https://digitalgemology.com/cuts/hexahedron)
- [Octahedron](https://digitalgemology.com/cuts/octahedron)
- [Dodecahedron](https://digitalgemology.com/cuts/dodecahedron)
- [Icosahedron](https://digitalgemology.com/cuts/icosahedron)

## Get the Tetrahedron files

*6 formats* *Millimetres* *Watertight*

### Tetrahedron 3D files

The tetrahedron as exact geometry: 4 flat faces, real-world scale, ready for CAD, rendering, printing and casting. The Platonic solids are sold as 3D files only.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/f5f032b8-54d4-4a8f-b0f3-f63967a287c6)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Hexahedron

Source: https://digitalgemology.com/cuts/hexahedron
Buy: [Hexahedron 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/55bffa20-ed7a-48b1-97a9-7cf09352071c)

[Cuts](https://digitalgemology.com/cuts/) · [Platonic solids](https://digitalgemology.com/cuts/#platonic)

# Hexahedron

3D model · 6 faces · 10 mm circumsphere

The cube: six squares, meeting three at each of eight vertices. It is the only Platonic solid that fills space on its own, stacked with no gaps, and it is dual to the octahedron.

[Get the files](https://digitalgemology.com/cuts/hexahedron#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=hexahedron)

## About the hexahedron

The cube: six squares, meeting three at each of eight vertices. It is the only Platonic solid that fills space on its own, stacked with no gaps, and it is dual to the octahedron.

Fluorite, pyrite, halite and galena all grow as cubes, and so, more rarely, does diamond.

## Hexahedron specifications

Taken from the delivered model and checked against its mesh every time this page is built.

**Category** Platonic solids

**Faces** 6 squares, all congruent

**Vertices** 8, 3 faces meeting at each

**Edges** 12, each 5.774 mm

**Schläfli symbol**{4,3}

**Dual** The octahedron

**Dihedral angle** 90.000°, the same on every edge

**Size** 5.774 x 5.774 x 5.774 mm, resting on a face

**Circumsphere** 10.000 mm across, through every vertex

**Midsphere** 8.165 mm across, touching every edge

**Insphere** 5.774 mm across, touching every face

**Surface area** 200.00 mm²

**Volume** 192.45 mm³

**Sphere fill** 36.8% of its circumsphere

**Isoperimetric quotient** 0.524 (a sphere is 1)

**Weight at this size** 3.39 ct in diamond, 3.10 ct in moissanite

**Orientation** Millimetres, Y up, one face resting on the ground plane, centred on the Y axis

**Files** STEP, 3DM, STL, OBJ, FBX, GLB. 3D files only, no cutting files

## Hexahedron: questions

### What files come with the Hexahedron 3D model?

Six formats: STEP (the exact solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 6 flat faces.

### Is there a cutting file for the Hexahedron?

No. The Platonic solids are sold as 3D models only, with no faceting design, tier table or diagram.

### How big is the Hexahedron model?

It measures 5.774 x 5.774 x 5.774 mm resting on a face, with every vertex on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. Scale it uniformly to any size: for a 10 mm edge, scale by 1.7321.

### How is the Hexahedron model oriented?

Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis, which keeps the cube square to the axes.

### Can I 3D print or cast the Hexahedron model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.

## More Platonic solids

- [Tetrahedron](https://digitalgemology.com/cuts/tetrahedron)
- [Octahedron](https://digitalgemology.com/cuts/octahedron)
- [Dodecahedron](https://digitalgemology.com/cuts/dodecahedron)
- [Icosahedron](https://digitalgemology.com/cuts/icosahedron)

## Get the Hexahedron files

*6 formats* *Millimetres* *Watertight*

### Hexahedron 3D files

The hexahedron as exact geometry: 6 flat faces, real-world scale, ready for CAD, rendering, printing and casting. The Platonic solids are sold as 3D files only.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/55bffa20-ed7a-48b1-97a9-7cf09352071c)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Octahedron

Source: https://digitalgemology.com/cuts/octahedron
Buy: [Octahedron 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/134deb91-1f31-4b19-a4a6-539a2a763f96)

[Cuts](https://digitalgemology.com/cuts/) · [Platonic solids](https://digitalgemology.com/cuts/#platonic)

# Octahedron

3D model · 8 faces · 10 mm circumsphere

Eight equilateral triangles, meeting four at each of six vertices, dual to the cube. It is the shape rough diamond most often grows in, and spinel and magnetite share the habit.

[Get the files](https://digitalgemology.com/cuts/octahedron#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=octahedron)

## About the octahedron

Eight equilateral triangles, meeting four at each of six vertices, dual to the cube. It is the shape rough diamond most often grows in, and spinel and magnetite share the habit.

It is also where the brilliant began. The single cut is an octahedron with the top point sawn off for a table and the corners bevelled, and every brilliant since descends from it.

See the [Old Single](https://digitalgemology.com/cuts/old-single), rebuilt in our historic cuts.

## Octahedron specifications

Taken from the delivered model and checked against its mesh every time this page is built.

**Category** Platonic solids

**Faces** 8 equilateral triangles, all congruent

**Vertices** 6, 4 faces meeting at each

**Edges** 12, each 7.071 mm

**Schläfli symbol**{3,4}

**Dual** The hexahedron (the cube)

**Dihedral angle** 109.471°, the same on every edge

**Size** 8.165 x 7.071 x 5.774 mm, resting on a face

**Circumsphere** 10.000 mm across, through every vertex

**Midsphere** 7.071 mm across, touching every edge

**Insphere** 5.774 mm across, touching every face

**Surface area** 173.21 mm²

**Volume** 166.67 mm³

**Sphere fill** 31.8% of its circumsphere

**Isoperimetric quotient** 0.605 (a sphere is 1)

**Weight at this size** 2.93 ct in diamond, 2.68 ct in moissanite

**Orientation** Millimetres, Y up, one face resting on the ground plane, centred on the Y axis

**Files** STEP, 3DM, STL, OBJ, FBX, GLB. 3D files only, no cutting files

## Octahedron: questions

### What files come with the Octahedron 3D model?

Six formats: STEP (the exact solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 8 flat faces.

### Is there a cutting file for the Octahedron?

No. The Platonic solids are sold as 3D models only, with no faceting design, tier table or diagram.

### How big is the Octahedron model?

It measures 8.165 x 7.071 x 5.774 mm resting on a face, with every vertex on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. Scale it uniformly to any size: for a 10 mm edge, scale by 1.4142.

### How is the Octahedron model oriented?

Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis, which keeps the cube square to the axes.

### Can I 3D print or cast the Octahedron model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.

## More Platonic solids

- [Tetrahedron](https://digitalgemology.com/cuts/tetrahedron)
- [Hexahedron](https://digitalgemology.com/cuts/hexahedron)
- [Dodecahedron](https://digitalgemology.com/cuts/dodecahedron)
- [Icosahedron](https://digitalgemology.com/cuts/icosahedron)

## Get the Octahedron files

*6 formats* *Millimetres* *Watertight*

### Octahedron 3D files

The octahedron as exact geometry: 8 flat faces, real-world scale, ready for CAD, rendering, printing and casting. The Platonic solids are sold as 3D files only.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/134deb91-1f31-4b19-a4a6-539a2a763f96)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Dodecahedron

Source: https://digitalgemology.com/cuts/dodecahedron
Buy: [Dodecahedron 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/04d0cfad-a373-45b6-95dd-0cac29860fb1)

[Cuts](https://digitalgemology.com/cuts/) · [Platonic solids](https://digitalgemology.com/cuts/#platonic)

# Dodecahedron

3D model · 12 faces · 10 mm circumsphere

Twelve regular pentagons, meeting three at each of twenty vertices, dual to the icosahedron. Of the five solids it fills the most of its own circumsphere.

[Get the files](https://digitalgemology.com/cuts/dodecahedron#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=dodecahedron)

## About the dodecahedron

Twelve regular pentagons, meeting three at each of twenty vertices, dual to the icosahedron. Of the five solids it fills the most of its own circumsphere.

No crystal grows in this shape, and none can: a regular pentagon carries fivefold symmetry, which no repeating crystal lattice allows. The two minerals often taken for it are something else. Pyrite's pyritohedron has twelve pentagonal faces, but irregular ones, and garnet's rhombic dodecahedron has twelve faces that are rhombi.

## Dodecahedron specifications

Taken from the delivered model and checked against its mesh every time this page is built.

**Category** Platonic solids

**Faces** 12 regular pentagons, all congruent

**Vertices** 20, 3 faces meeting at each

**Edges** 30, each 3.568 mm

**Schläfli symbol**{5,3}

**Dual** The icosahedron

**Dihedral angle** 116.565°, the same on every edge

**Size** 9.822 x 9.342 x 7.947 mm, resting on a face

**Circumsphere** 10.000 mm across, through every vertex

**Midsphere** 9.342 mm across, touching every edge

**Insphere** 7.947 mm across, touching every face

**Surface area** 262.87 mm²

**Volume** 348.15 mm³

**Sphere fill** 66.5% of its circumsphere

**Isoperimetric quotient** 0.755 (a sphere is 1)

**Weight at this size** 6.13 ct in diamond, 5.61 ct in moissanite

**Orientation** Millimetres, Y up, one face resting on the ground plane, centred on the Y axis

**Files** STEP, 3DM, STL, OBJ, FBX, GLB. 3D files only, no cutting files

## Dodecahedron: questions

### What files come with the Dodecahedron 3D model?

Six formats: STEP (the exact solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 12 flat faces.

### Is there a cutting file for the Dodecahedron?

No. The Platonic solids are sold as 3D models only, with no faceting design, tier table or diagram.

### How big is the Dodecahedron model?

It measures 9.822 x 9.342 x 7.947 mm resting on a face, with every vertex on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. Scale it uniformly to any size: for a 10 mm edge, scale by 2.8025.

### How is the Dodecahedron model oriented?

Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis, which keeps the cube square to the axes.

### Can I 3D print or cast the Dodecahedron model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.

## More Platonic solids

- [Tetrahedron](https://digitalgemology.com/cuts/tetrahedron)
- [Hexahedron](https://digitalgemology.com/cuts/hexahedron)
- [Octahedron](https://digitalgemology.com/cuts/octahedron)
- [Icosahedron](https://digitalgemology.com/cuts/icosahedron)

## Get the Dodecahedron files

*6 formats* *Millimetres* *Watertight*

### Dodecahedron 3D files

The dodecahedron as exact geometry: 12 flat faces, real-world scale, ready for CAD, rendering, printing and casting. The Platonic solids are sold as 3D files only.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/04d0cfad-a373-45b6-95dd-0cac29860fb1)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# Icosahedron

Source: https://digitalgemology.com/cuts/icosahedron
Buy: [Icosahedron 3D files, €9.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/9843dc4f-c068-4b11-ace2-79e43a1e26f1)

[Cuts](https://digitalgemology.com/cuts/) · [Platonic solids](https://digitalgemology.com/cuts/#platonic)

# Icosahedron

3D model · 20 faces · 10 mm circumsphere

Twenty equilateral triangles, meeting five at each of twelve vertices, dual to the dodecahedron. It is the roundest of the five by isoperimetric quotient, holding the most volume for its surface area, although the dodecahedron fills more of its own circumsphere.

[Get the files](https://digitalgemology.com/cuts/icosahedron#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=icosahedron)

## About the icosahedron

Twenty equilateral triangles, meeting five at each of twelve vertices, dual to the dodecahedron. It is the roundest of the five by isoperimetric quotient, holding the most volume for its surface area, although the dodecahedron fills more of its own circumsphere.

Its fivefold symmetry rules it out as an ordinary crystal, as it does the dodecahedron. Icosahedral order does occur in quasicrystals, which are ordered without repeating; the first natural one, now called icosahedrite, was reported in 2009.

## Icosahedron specifications

Taken from the delivered model and checked against its mesh every time this page is built.

**Category** Platonic solids

**Faces** 20 equilateral triangles, all congruent

**Vertices** 12, 5 faces meeting at each

**Edges** 30, each 5.257 mm

**Schläfli symbol**{3,5}

**Dual** The dodecahedron

**Dihedral angle** 138.190°, the same on every edge

**Size** 9.822 x 8.507 x 7.947 mm, resting on a face

**Circumsphere** 10.000 mm across, through every vertex

**Midsphere** 8.507 mm across, touching every edge

**Insphere** 7.947 mm across, touching every face

**Surface area** 239.36 mm²

**Volume** 317.02 mm³

**Sphere fill** 60.5% of its circumsphere

**Isoperimetric quotient** 0.829 (a sphere is 1)

**Weight at this size** 5.58 ct in diamond, 5.10 ct in moissanite

**Orientation** Millimetres, Y up, one face resting on the ground plane, centred on the Y axis

**Files** STEP, 3DM, STL, OBJ, FBX, GLB. 3D files only, no cutting files

## Icosahedron: questions

### What files come with the Icosahedron 3D model?

Six formats: STEP (the exact solid for CAD), 3DM for Rhino, STL and OBJ meshes, FBX for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal, and GLB for the web and AR. All are in millimetres at real-world scale, with 20 flat faces.

### Is there a cutting file for the Icosahedron?

No. The Platonic solids are sold as 3D models only, with no faceting design, tier table or diagram.

### How big is the Icosahedron model?

It measures 9.822 x 8.507 x 7.947 mm resting on a face, with every vertex on a sphere 10 mm across. All five Platonic solids share that sphere, so they nest and sit together at true relative size. Scale it uniformly to any size: for a 10 mm edge, scale by 1.9021.

### How is the Icosahedron model oriented?

Y up, with one face resting on the ground plane and the centroid on the Y axis. The midpoint of one edge of the resting face lies on the +X axis, which keeps the cube square to the axes.

### Can I 3D print or cast the Icosahedron model?

Yes. The mesh is watertight and manifold, with outward normals and no duplicate vertices, so it prints and casts without repair. Use the STEP file when you need the exact solid in CAD.

## More Platonic solids

- [Tetrahedron](https://digitalgemology.com/cuts/tetrahedron)
- [Hexahedron](https://digitalgemology.com/cuts/hexahedron)
- [Octahedron](https://digitalgemology.com/cuts/octahedron)
- [Dodecahedron](https://digitalgemology.com/cuts/dodecahedron)

## Get the Icosahedron files

*6 formats* *Millimetres* *Watertight*

### Icosahedron 3D files

The icosahedron as exact geometry: 20 flat faces, real-world scale, ready for CAD, rendering, printing and casting. The Platonic solids are sold as 3D files only.

- **STEP** Exact faceted solid for CAD
- **3DM** Rhino, closed mesh on its own layer
- **STL** Watertight mesh for printing and casting
- **OBJ** Mesh for modelling and rendering
- **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
- **GLB** Web, AR and quick previews

€9.99 · Personal use [Buy the 3D files](https://digitalgemology.lemonsqueezy.com/checkout/buy/9843dc4f-c068-4b11-ace2-79e43a1e26f1)

Questions before you buy? [Email us](mailto:support@digitalgemology.com).

---

# 3D models and cutting files by gemstone

Source: https://digitalgemology.com/gemstones/

Catalogue

# 3D models and cutting files by gemstone

Seven stones · 36 cuts scored in each

## Why the stone changes the cut

A faceting design is a set of angles, and the right angles depend on the material. The lower a stone's refractive index, the larger its critical angle and the steeper its pavilion has to be to keep light inside. A pavilion that is perfect in diamond can leave an amethyst looking washed out in the centre. Each page below gives the numbers for one stone and ranks the top ten brilliants and the top ten jewelry cuts in it, by brilliance, fire and scintillation.

- [**Diamond** RI 2.417 Critical angle 24.4° Guide pavilion 38.9°](https://digitalgemology.com/gemstones/diamond)
- [**Moissanite** RI 2.648 to 2.691 Critical angle 22.2° Guide pavilion 39.5°](https://digitalgemology.com/gemstones/moissanite)
- [**Cubic Zirconia** RI 2.15 to 2.18 Critical angle 27.7° Guide pavilion 38.1°](https://digitalgemology.com/gemstones/cubic-zirconia)
- [**Ruby** RI 1.762 to 1.770 Critical angle 34.6° Guide pavilion 36.4°](https://digitalgemology.com/gemstones/ruby)
- [**Sapphire** RI 1.762 to 1.770 Critical angle 34.6° Guide pavilion 36.4°](https://digitalgemology.com/gemstones/sapphire)
- [**Emerald** RI 1.577 to 1.583 Critical angle 39.4° Guide pavilion 39.4°](https://digitalgemology.com/gemstones/emerald)
- [**Amethyst** RI 1.544 to 1.553 Critical angle 40.4° Guide pavilion 40.4°](https://digitalgemology.com/gemstones/amethyst)

## One cut does not fit every stone

The clearest way to see it is two rounds that look almost the same on paper. The T73 carries the round brilliant proportions published in 1919, worked out for diamond. DG-Anteros keeps the same 73 facets and the same 53% table, but its crown and pavilion angles are re-solved for moissanite, which bends light more strongly. Put each in each stone and look.

Diamond RI 2.417

Moissanite RI 2.648

[T73](https://digitalgemology.com/cuts/t73-round-brilliant)

![T73 in diamond: face-up Light Return map](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-light.webp?v=14ae5a3a)

![T73 in diamond through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-arrows.webp?v=8d5cbfc5) *Arrows, face-up* ![T73 in diamond through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/t73-round-brilliant-diamond-hearts.webp?v=d069878f) *Hearts, face-down*

**T73 in diamond.** Crisp arrows and crisp hearts: the proportions were worked out for diamond.

![T73 in moissanite: face-up Light Return map](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-light.webp?v=0611f596)

![T73 in moissanite through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-arrows.webp?v=746a4f84) *Arrows, face-up* ![T73 in moissanite through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/t73-round-brilliant-moissanite-hearts.webp?v=5ac7f585) *Hearts, face-down*

**T73 in moissanite.** Both patterns break up. The same angles bend moissanite's light too far.

[DG-Anteros](https://digitalgemology.com/cuts/dg-anteros)

![DG-Anteros in diamond: face-up Light Return map](https://digitalgemology.com/img/demo/bl-anteros-diamond-light.webp?v=b1fd8204)

![DG-Anteros in diamond through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/bl-anteros-diamond-arrows.webp?v=cfa8452d) *Arrows, face-up* ![DG-Anteros in diamond through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/bl-anteros-diamond-hearts.webp?v=3bc24c68) *Hearts, face-down*

**DG-Anteros in diamond.** The arrows go dark and the hearts flood with white: wrong stone for this cut.

![DG-Anteros in moissanite: face-up Light Return map](https://digitalgemology.com/img/demo/bl-anteros-moissanite-light.webp?v=16337d87)

![DG-Anteros in moissanite through a Hearts and Arrows viewer, face-up: the arrows](https://digitalgemology.com/img/demo/bl-anteros-moissanite-arrows.webp?v=14acada3) *Arrows, face-up* ![DG-Anteros in moissanite through a Hearts and Arrows viewer, face-down: the hearts](https://digitalgemology.com/img/demo/bl-anteros-moissanite-hearts.webp?v=cb66620c) *Hearts, face-down*

**DG-Anteros in moissanite.** Crisp arrows and eight clean hearts: the cut it was drawn for.

Direct Indirect Contrast Leak. Face-up, the way a light-return scope shows a stone.

White: light from the viewer's white disk, which draws the arrows and hearts. Red: light from the red reflector. Black: the lens port, or light that never comes back.

All eight panels per instrument are computed from the cut files themselves, with the same rules for every stone. The Hearts & Arrows viewer has a 2.5° lens hole, a white disk to 13.5° and a red reflector to 90°.

---

# Diamond 3D models and cutting files

Source: https://digitalgemology.com/gemstones/diamond

[Gemstones](https://digitalgemology.com/gemstones/)

# Diamond 3D models and cutting files

Refractive index 2.417 · critical angle 24.4° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting diamond

Diamond has the highest refractive index of any natural gem in common use, so its critical angle is small and almost any sensible pavilion reflects head-on light. What separates a good diamond cut from an average one is how much of that light comes back towards the viewer, and how it is broken into brilliance and fire.

Diamond is not cut on a hobby faceting machine: it is sawn, bruted and polished on a scaife, or cut with lasers. Faceting files are still the standard way to plan and communicate a diamond design, and 3D models are what jewelry CAD needs.

## Diamond optical properties

**Refractive index** 2.417

**Birefringence** None (isotropic)

**Dispersion** 0.044

**Hardness (Mohs)** 10

**Specific gravity** 3.52

**Crystal system** Cubic

**Critical angle** 24.4°

**Guide minimum pavilion angle** 38.9° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in diamond

**In diamond, the DG-Miliano Cut performs best of the 10 brilliants we score: 95 for brilliance, 82 for fire and 98 for scintillation.** The DG-Rafaello Cut (94, 80 and 96) and the DG-Vitruvio Cut (93, 79 and 98) share second place. Of the three, the DG-Miliano Cut has both the highest brilliance and the most fire.

**The top ten brilliants in diamond, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in diamond**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-Miliano](https://digitalgemology.com/gemstones/diamond/dg-miliano), *House cut* | 95 (T73 benchmark 93) | 82 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [DG-Rafaello](https://digitalgemology.com/gemstones/diamond/dg-rafaello), *House cut* | 94 (T73 benchmark 93) | 80 (T73 benchmark 78) | 96 (T73 benchmark 80) |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/diamond/dg-vitruvio), *Brilliant* | 93 (T73 benchmark 93) | 79 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/diamond/t105-round-brilliant), *Brilliant* | 95 (T73 benchmark 93) | 77 (T73 benchmark 78) | 90 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/diamond/t73-round-brilliant), *Benchmark* | 93 | 78 | 80 |
| [DG-M5](https://digitalgemology.com/gemstones/diamond/dg-m5), *House cut* | 97 (T73 benchmark 93) | 67 (T73 benchmark 78) | 85 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/diamond/dg-anteros), *Brilliant* | 95 (T73 benchmark 93) | 74 (T73 benchmark 78) | 80 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/diamond/old-european), *Historic cut* | 90 (T73 benchmark 93) | 74 (T73 benchmark 78) | 81 (T73 benchmark 80) |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/diamond/t57-round-brilliant), *Historic cut* | 92 (T73 benchmark 93) | 79 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/diamond/old-single), *Historic cut* | 72 (T73 benchmark 93) | 84 (T73 benchmark 78) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in diamond **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In diamond, the Portuguese Bird's Nest Cut performs best of the 23 jewelry cuts we score: 85 for brilliance, 65 for fire and 98 for scintillation.** The Trilliant Cut follows at 78, 83 and 79, then the Marquise Cut at 64, 89 and 86. Of the three, the Portuguese Bird's Nest Cut has the highest brilliance and the Marquise Cut the most fire.

**The top ten jewelry cuts in diamond, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in diamond**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Portuguese Bird's Nest](https://digitalgemology.com/gemstones/diamond/portuguese-birds-nest), *Jewelry cut* | 85 (T73 benchmark 93) | 65 (T73 benchmark 78) | 98 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/diamond/trilliant), *Jewelry cut* | 78 (T73 benchmark 93) | 83 (T73 benchmark 78) | 79 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/diamond/marquise), *Jewelry cut* | 64 (T73 benchmark 93) | 89 (T73 benchmark 78) | 86 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/diamond/cushion), *Jewelry cut* | 80 (T73 benchmark 93) | 73 (T73 benchmark 78) | 85 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/diamond/square), *Jewelry cut* | 85 (T73 benchmark 93) | 72 (T73 benchmark 78) | 78 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/diamond/trillion), *Jewelry cut* | 67 (T73 benchmark 93) | 87 (T73 benchmark 78) | 80 (T73 benchmark 80) |
| [DG-Octagonal Kite](https://digitalgemology.com/gemstones/diamond/dg-octagonal-kite), *House cut* | 88 (T73 benchmark 93) | 82 (T73 benchmark 78) | 60 (T73 benchmark 80) |
| [Oval](https://digitalgemology.com/gemstones/diamond/oval), *Jewelry cut* | 47 (T73 benchmark 93) | 92 (T73 benchmark 78) | 87 (T73 benchmark 80) |
| [Asscher](https://digitalgemology.com/gemstones/diamond/asscher), *Jewelry cut* | 69 (T73 benchmark 93) | 80 (T73 benchmark 78) | 72 (T73 benchmark 80) |
| [Emerald Square](https://digitalgemology.com/gemstones/diamond/emerald-square), *Jewelry cut* | 64 (T73 benchmark 93) | 84 (T73 benchmark 78) | 72 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in diamond **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-miliano&stone=diamond), where you can set any cut against any other in diamond. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Diamond: questions

### What pavilion angle should I use for diamond?

For a round design, at least 38.9°. From there, light arriving straight down reflects off both sides of the pavilion, beyond diamond's critical angle of 24.4°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of diamond?

24.4°, from a refractive index of 2.417. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in diamond?

By brilliance, fire and scintillation added together, the DG-Miliano Cut, the DG-Rafaello Cut and the DG-Vitruvio Cut are the best brilliants in diamond, and the Portuguese Bird's Nest Cut, the Trilliant Cut and the Marquise Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

## Other gemstones

- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Emerald](https://digitalgemology.com/gemstones/emerald)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Moissanite 3D models and cutting files

Source: https://digitalgemology.com/gemstones/moissanite

[Gemstones](https://digitalgemology.com/gemstones/)

# Moissanite 3D models and cutting files

Refractive index 2.648 to 2.691 · critical angle 22.2° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting moissanite

Moissanite, silicon carbide, has an even higher refractive index than diamond and more than twice its dispersion, so it shows strong fire. It is lighter than diamond, so the same size weighs less.

It is doubly refractive. Cutters orient the table perpendicular to the optic axis, so the facets seen straight through the table do not appear doubled; their reflections, and the view through the crown, still do. The 3D Gemstone Simulator traces both rays, so its moissanite shows this too.

**Cutting a round in moissanite?** Diamond proportions lose the arrows and hearts in moissanite. [DG-Anteros](https://digitalgemology.com/cuts/dg-anteros) is re-solved for it and shows both. [See the comparison](https://digitalgemology.com/gemstones/#same-cut).

## Moissanite optical properties

**Refractive index** 2.648 to 2.691

**Birefringence** 0.043

**Dispersion** 0.104

**Hardness (Mohs)** 9.25

**Specific gravity** 3.22

**Crystal system** Hexagonal

**Critical angle** 22.2°

**Guide minimum pavilion angle** 39.5° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in moissanite

**In moissanite, the DG-M5 Cut, drawn for moissanite, performs best of the 10 brilliants we score: 98 for brilliance, 100 for fire and 85 for scintillation.** The DG-Vitruvio Cut follows at 86, 97 and 98, then the DG-Miliano Cut, another moissanite design, at 86, 93 and 98. Of the three, the DG-M5 Cut has both the highest brilliance and the most fire.

**The top ten brilliants in moissanite, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in moissanite**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-M5](https://digitalgemology.com/gemstones/moissanite/dg-m5), *House cut* | 98 (T73 benchmark 86) | 100 (T73 benchmark 97) | 85 (T73 benchmark 80) |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/moissanite/dg-vitruvio), *Brilliant* | 86 (T73 benchmark 86) | 97 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [DG-Miliano](https://digitalgemology.com/gemstones/moissanite/dg-miliano), *House cut* | 86 (T73 benchmark 86) | 93 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/moissanite/t105-round-brilliant), *Brilliant* | 86 (T73 benchmark 86) | 97 (T73 benchmark 97) | 90 (T73 benchmark 80) |
| [DG-Rafaello](https://digitalgemology.com/gemstones/moissanite/dg-rafaello), *House cut* | 84 (T73 benchmark 86) | 90 (T73 benchmark 97) | 96 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/moissanite/dg-anteros), *Brilliant* | 92 (T73 benchmark 86) | 91 (T73 benchmark 97) | 80 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/moissanite/t73-round-brilliant), *Benchmark* | 86 | 97 | 80 |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/moissanite/t57-round-brilliant), *Historic cut* | 85 (T73 benchmark 86) | 98 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/moissanite/old-european), *Historic cut* | 79 (T73 benchmark 86) | 95 (T73 benchmark 97) | 81 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/moissanite/old-single), *Historic cut* | 77 (T73 benchmark 86) | 99 (T73 benchmark 97) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in moissanite **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In moissanite, the Portuguese Bird's Nest Cut performs best of the 23 jewelry cuts we score: 82 for brilliance, 95 for fire and 98 for scintillation.** The Cushion Cut follows at 74, 93 and 85, then the Square Cut at 82, 91 and 78.

**The top ten jewelry cuts in moissanite, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in moissanite**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Portuguese Bird's Nest](https://digitalgemology.com/gemstones/moissanite/portuguese-birds-nest), *Jewelry cut* | 82 (T73 benchmark 86) | 95 (T73 benchmark 97) | 98 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/moissanite/cushion), *Jewelry cut* | 74 (T73 benchmark 86) | 93 (T73 benchmark 97) | 85 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/moissanite/square), *Jewelry cut* | 82 (T73 benchmark 86) | 91 (T73 benchmark 97) | 78 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/moissanite/trilliant), *Jewelry cut* | 71 (T73 benchmark 86) | 95 (T73 benchmark 97) | 79 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/moissanite/marquise), *Jewelry cut* | 59 (T73 benchmark 86) | 94 (T73 benchmark 97) | 86 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/moissanite/trillion), *Jewelry cut* | 60 (T73 benchmark 86) | 93 (T73 benchmark 97) | 80 (T73 benchmark 80) |
| [Radiant Square](https://digitalgemology.com/gemstones/moissanite/radiant-square), *Jewelry cut* | 71 (T73 benchmark 86) | 93 (T73 benchmark 97) | 66 (T73 benchmark 80) |
| [Asscher](https://digitalgemology.com/gemstones/moissanite/asscher), *Jewelry cut* | 64 (T73 benchmark 86) | 94 (T73 benchmark 97) | 72 (T73 benchmark 80) |
| [Octagon](https://digitalgemology.com/gemstones/moissanite/octagon), *Jewelry cut* | 67 (T73 benchmark 86) | 94 (T73 benchmark 97) | 66 (T73 benchmark 80) |
| [DG-Octagonal Kite](https://digitalgemology.com/gemstones/moissanite/dg-octagonal-kite), *House cut* | 71 (T73 benchmark 86) | 95 (T73 benchmark 97) | 60 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in moissanite **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-m5&stone=moissanite), where you can set any cut against any other in moissanite. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Moissanite: questions

### What pavilion angle should I use for moissanite?

For a round design, at least 39.5°. From there, light arriving straight down reflects off both sides of the pavilion, beyond moissanite's critical angle of 22.2°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of moissanite?

22.2°, from a refractive index of 2.648. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in moissanite?

By brilliance, fire and scintillation added together, the DG-M5 Cut, the DG-Vitruvio Cut and the DG-Miliano Cut are the best brilliants in moissanite, and the Portuguese Bird's Nest Cut, the Cushion Cut and the Square Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does moissanite weigh compared with diamond?

Moissanite has a specific gravity of about 3.22 against diamond's 3.52, so a stone of the same size weighs about 0.91 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Emerald](https://digitalgemology.com/gemstones/emerald)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Cubic Zirconia 3D models and cutting files

Source: https://digitalgemology.com/gemstones/cubic-zirconia

[Gemstones](https://digitalgemology.com/gemstones/)

# Cubic Zirconia 3D models and cutting files

Refractive index 2.15 to 2.18 · critical angle 27.7° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting cubic zirconia

Cubic zirconia is a laboratory-made crystal with a high refractive index and strong dispersion, which is why it has long been used to imitate diamond. It is much denser than diamond, so a stone of the same size weighs far more.

It cuts and polishes easily, which makes it a common practice material and a good way to test a new design before cutting a valuable stone.

## Cubic Zirconia optical properties

**Refractive index** 2.15 to 2.18

**Birefringence** None (isotropic)

**Dispersion** 0.060

**Hardness (Mohs)** 8 to 8.5

**Specific gravity** 5.6 to 6.0

**Crystal system** Cubic

**Critical angle** 27.7°

**Guide minimum pavilion angle** 38.1° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in cubic zirconia

**In cubic zirconia, the DG-Miliano Cut performs best of the 10 brilliants we score: 97 for brilliance, 90 for fire and 98 for scintillation.** The DG-Rafaello Cut (100, 87 and 96) and the DG-Vitruvio Cut (98, 87 and 98) share second place. Of the three, the DG-Rafaello Cut has the highest brilliance and the DG-Miliano Cut the most fire.

**The top ten brilliants in cubic zirconia, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in cubic zirconia**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-Miliano](https://digitalgemology.com/gemstones/cubic-zirconia/dg-miliano), *House cut* | 97 (T73 benchmark 98) | 90 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [DG-Rafaello](https://digitalgemology.com/gemstones/cubic-zirconia/dg-rafaello), *House cut* | 100 (T73 benchmark 98) | 87 (T73 benchmark 87) | 96 (T73 benchmark 80) |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/cubic-zirconia/dg-vitruvio), *Brilliant* | 98 (T73 benchmark 98) | 87 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/cubic-zirconia/t105-round-brilliant), *Brilliant* | 98 (T73 benchmark 98) | 85 (T73 benchmark 87) | 90 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/cubic-zirconia/t73-round-brilliant), *Benchmark* | 98 | 87 | 80 |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/cubic-zirconia/t57-round-brilliant), *Historic cut* | 98 (T73 benchmark 98) | 87 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/cubic-zirconia/old-european), *Historic cut* | 92 (T73 benchmark 98) | 84 (T73 benchmark 87) | 81 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/cubic-zirconia/dg-anteros), *Brilliant* | 92 (T73 benchmark 98) | 82 (T73 benchmark 87) | 80 (T73 benchmark 80) |
| [DG-M5](https://digitalgemology.com/gemstones/cubic-zirconia/dg-m5), *House cut* | 91 (T73 benchmark 98) | 73 (T73 benchmark 87) | 85 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/cubic-zirconia/old-single), *Historic cut* | 65 (T73 benchmark 98) | 83 (T73 benchmark 87) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in cubic zirconia **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In cubic zirconia, the Cushion Cut and the Portuguese Bird's Nest Cut share first place of the 23 jewelry cuts we score: 88, 87 and 85 and 83, 79 and 98 for brilliance, fire and scintillation.** The Trilliant Cut follows at 84, 94 and 79. Of the three, the Cushion Cut has the highest brilliance and the Trilliant Cut the most fire.

**The top ten jewelry cuts in cubic zirconia, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in cubic zirconia**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Cushion](https://digitalgemology.com/gemstones/cubic-zirconia/cushion), *Jewelry cut* | 88 (T73 benchmark 98) | 87 (T73 benchmark 87) | 85 (T73 benchmark 80) |
| [Portuguese Bird's Nest](https://digitalgemology.com/gemstones/cubic-zirconia/portuguese-birds-nest), *Jewelry cut* | 83 (T73 benchmark 98) | 79 (T73 benchmark 87) | 98 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/cubic-zirconia/trilliant), *Jewelry cut* | 84 (T73 benchmark 98) | 94 (T73 benchmark 87) | 79 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/cubic-zirconia/square), *Jewelry cut* | 85 (T73 benchmark 98) | 83 (T73 benchmark 87) | 78 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/cubic-zirconia/trillion), *Jewelry cut* | 73 (T73 benchmark 98) | 93 (T73 benchmark 87) | 80 (T73 benchmark 80) |
| [Oval](https://digitalgemology.com/gemstones/cubic-zirconia/oval), *Jewelry cut* | 63 (T73 benchmark 98) | 96 (T73 benchmark 87) | 87 (T73 benchmark 80) |
| [DG-Octagonal Kite](https://digitalgemology.com/gemstones/cubic-zirconia/dg-octagonal-kite), *House cut* | 93 (T73 benchmark 98) | 92 (T73 benchmark 87) | 60 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/cubic-zirconia/marquise), *Jewelry cut* | 66 (T73 benchmark 98) | 93 (T73 benchmark 87) | 86 (T73 benchmark 80) |
| [Asscher](https://digitalgemology.com/gemstones/cubic-zirconia/asscher), *Jewelry cut* | 74 (T73 benchmark 98) | 88 (T73 benchmark 87) | 72 (T73 benchmark 80) |
| [Princess](https://digitalgemology.com/gemstones/cubic-zirconia/princess), *Jewelry cut* | 63 (T73 benchmark 98) | 92 (T73 benchmark 87) | 78 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in cubic zirconia **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-miliano&stone=cubic-zirconia), where you can set any cut against any other in cubic zirconia. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Cubic Zirconia: questions

### What pavilion angle should I use for cubic zirconia?

For a round design, at least 38.1°. From there, light arriving straight down reflects off both sides of the pavilion, beyond cubic zirconia's critical angle of 27.7°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of cubic zirconia?

27.7°, from a refractive index of 2.15. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in cubic zirconia?

By brilliance, fire and scintillation added together, the DG-Miliano Cut, the DG-Rafaello Cut and the DG-Vitruvio Cut are the best brilliants in cubic zirconia, and the Cushion Cut, the Portuguese Bird's Nest Cut and the Trilliant Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does cubic zirconia weigh compared with diamond?

Cubic Zirconia has a specific gravity of about 5.80 against diamond's 3.52, so a stone of the same size weighs about 1.65 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Emerald](https://digitalgemology.com/gemstones/emerald)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Ruby 3D models and cutting files

Source: https://digitalgemology.com/gemstones/ruby

[Gemstones](https://digitalgemology.com/gemstones/)

# Ruby 3D models and cutting files

Refractive index 1.762 to 1.770 · critical angle 34.6° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting ruby (corundum)

Ruby is red corundum. Its refractive index is far lower than diamond's, so its critical angle is much larger, and a pavilion cut for diamond can let light straight out of the back. Corundum designs usually run a steeper pavilion.

Ruby is pleochroic: it shows a purer red along the optic axis and a more orange red across it. Cutters orient the table to the axis where the rough allows, and the shape of the rough often decides between an oval, a cushion or a round.

## Ruby optical properties

**Refractive index** 1.762 to 1.770

**Birefringence** 0.008

**Dispersion** 0.018

**Hardness (Mohs)** 9

**Specific gravity** 4.00

**Crystal system** Trigonal

**Critical angle** 34.6°

**Guide minimum pavilion angle** 36.4° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in ruby

**In ruby, the DG-Vitruvio Cut performs best of the 10 brilliants we score: 94 for brilliance, 37 for fire and 98 for scintillation.** The DG-M5 Cut follows at 100, 39 and 85, then the DG-Miliano Cut at 90, 35 and 98. Of the three, the DG-M5 Cut has both the highest brilliance and the most fire.

**The top ten brilliants in ruby, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in ruby**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/ruby/dg-vitruvio), *Brilliant* | 94 (T73 benchmark 94) | 37 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [DG-M5](https://digitalgemology.com/gemstones/ruby/dg-m5), *House cut* | 100 (T73 benchmark 94) | 39 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [DG-Miliano](https://digitalgemology.com/gemstones/ruby/dg-miliano), *House cut* | 90 (T73 benchmark 94) | 35 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/ruby/dg-anteros), *Brilliant* | 97 (T73 benchmark 94) | 43 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/ruby/t105-round-brilliant), *Brilliant* | 90 (T73 benchmark 94) | 36 (T73 benchmark 37) | 90 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/ruby/t73-round-brilliant), *Benchmark* | 94 | 37 | 80 |
| [DG-Rafaello](https://digitalgemology.com/gemstones/ruby/dg-rafaello), *House cut* | 85 (T73 benchmark 94) | 25 (T73 benchmark 37) | 96 (T73 benchmark 80) |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/ruby/t57-round-brilliant), *Historic cut* | 94 (T73 benchmark 94) | 39 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/ruby/old-european), *Historic cut* | 78 (T73 benchmark 94) | 39 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/ruby/old-single), *Historic cut* | 36 (T73 benchmark 94) | 9 (T73 benchmark 37) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in ruby **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In ruby, the Oval Cut performs best of the 23 jewelry cuts we score: 66 for brilliance, 74 for fire and 87 for scintillation.** The Trilliant Cut follows at 86, 52 and 79, then the Trillion Cut at 72, 59 and 80. Of the three, the Trilliant Cut has the highest brilliance and the Oval Cut the most fire.

**The top ten jewelry cuts in ruby, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in ruby**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Oval](https://digitalgemology.com/gemstones/ruby/oval), *Jewelry cut* | 66 (T73 benchmark 94) | 74 (T73 benchmark 37) | 87 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/ruby/trilliant), *Jewelry cut* | 86 (T73 benchmark 94) | 52 (T73 benchmark 37) | 79 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/ruby/trillion), *Jewelry cut* | 72 (T73 benchmark 94) | 59 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/ruby/cushion), *Jewelry cut* | 88 (T73 benchmark 94) | 36 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Teardrop](https://digitalgemology.com/gemstones/ruby/teardrop), *Jewelry cut* | 59 (T73 benchmark 94) | 64 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/ruby/square), *Jewelry cut* | 78 (T73 benchmark 94) | 45 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Princess](https://digitalgemology.com/gemstones/ruby/princess), *Jewelry cut* | 68 (T73 benchmark 94) | 52 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Emerald Square](https://digitalgemology.com/gemstones/ruby/emerald-square), *Jewelry cut* | 71 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/ruby/marquise), *Jewelry cut* | 55 (T73 benchmark 94) | 54 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Pear](https://digitalgemology.com/gemstones/ruby/pear), *Jewelry cut* | 62 (T73 benchmark 94) | 56 (T73 benchmark 37) | 76 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in ruby **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-vitruvio&stone=ruby), where you can set any cut against any other in ruby. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Ruby: questions

### What pavilion angle should I use for ruby?

For a round design, at least 36.4°. From there, light arriving straight down reflects off both sides of the pavilion, beyond ruby's critical angle of 34.6°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of ruby?

34.6°, from a refractive index of 1.762. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in ruby?

By brilliance, fire and scintillation added together, the DG-Vitruvio Cut, the DG-M5 Cut and the DG-Miliano Cut are the best brilliants in ruby, and the Oval Cut, the Trilliant Cut and the Trillion Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does ruby weigh compared with diamond?

Ruby has a specific gravity of about 4.00 against diamond's 3.52, so a stone of the same size weighs about 1.14 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Emerald](https://digitalgemology.com/gemstones/emerald)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Sapphire 3D models and cutting files

Source: https://digitalgemology.com/gemstones/sapphire

[Gemstones](https://digitalgemology.com/gemstones/)

# Sapphire 3D models and cutting files

Refractive index 1.762 to 1.770 · critical angle 34.6° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting sapphire (corundum)

Sapphire is corundum in every colour other than red, and optically it behaves exactly as ruby does: the same refractive index, the same critical angle and the same need for a steeper pavilion than diamond.

Many sapphires show colour zoning and pleochroism, so the orientation of the table matters as much as the angles. Hardness 9 makes it one of the most durable stones to set.

## Sapphire optical properties

**Refractive index** 1.762 to 1.770

**Birefringence** 0.008

**Dispersion** 0.018

**Hardness (Mohs)** 9

**Specific gravity** 4.00

**Crystal system** Trigonal

**Critical angle** 34.6°

**Guide minimum pavilion angle** 36.4° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in sapphire

**In sapphire, the DG-Vitruvio Cut performs best of the 10 brilliants we score: 94 for brilliance, 37 for fire and 98 for scintillation.** The DG-M5 Cut follows at 100, 39 and 85, then the DG-Miliano Cut at 90, 35 and 98. Of the three, the DG-M5 Cut has both the highest brilliance and the most fire.

**The top ten brilliants in sapphire, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in sapphire**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/sapphire/dg-vitruvio), *Brilliant* | 94 (T73 benchmark 94) | 37 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [DG-M5](https://digitalgemology.com/gemstones/sapphire/dg-m5), *House cut* | 100 (T73 benchmark 94) | 39 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [DG-Miliano](https://digitalgemology.com/gemstones/sapphire/dg-miliano), *House cut* | 90 (T73 benchmark 94) | 35 (T73 benchmark 37) | 98 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/sapphire/dg-anteros), *Brilliant* | 97 (T73 benchmark 94) | 43 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/sapphire/t105-round-brilliant), *Brilliant* | 90 (T73 benchmark 94) | 36 (T73 benchmark 37) | 90 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/sapphire/t73-round-brilliant), *Benchmark* | 94 | 37 | 80 |
| [DG-Rafaello](https://digitalgemology.com/gemstones/sapphire/dg-rafaello), *House cut* | 85 (T73 benchmark 94) | 25 (T73 benchmark 37) | 96 (T73 benchmark 80) |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/sapphire/t57-round-brilliant), *Historic cut* | 94 (T73 benchmark 94) | 39 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/sapphire/old-european), *Historic cut* | 78 (T73 benchmark 94) | 39 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/sapphire/old-single), *Historic cut* | 36 (T73 benchmark 94) | 9 (T73 benchmark 37) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in sapphire **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In sapphire, the Oval Cut performs best of the 23 jewelry cuts we score: 66 for brilliance, 74 for fire and 87 for scintillation.** The Trilliant Cut follows at 86, 52 and 79, then the Trillion Cut at 72, 59 and 80. Of the three, the Trilliant Cut has the highest brilliance and the Oval Cut the most fire.

**The top ten jewelry cuts in sapphire, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in sapphire**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Oval](https://digitalgemology.com/gemstones/sapphire/oval), *Jewelry cut* | 66 (T73 benchmark 94) | 74 (T73 benchmark 37) | 87 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/sapphire/trilliant), *Jewelry cut* | 86 (T73 benchmark 94) | 52 (T73 benchmark 37) | 79 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/sapphire/trillion), *Jewelry cut* | 72 (T73 benchmark 94) | 59 (T73 benchmark 37) | 80 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/sapphire/cushion), *Jewelry cut* | 88 (T73 benchmark 94) | 36 (T73 benchmark 37) | 85 (T73 benchmark 80) |
| [Teardrop](https://digitalgemology.com/gemstones/sapphire/teardrop), *Jewelry cut* | 59 (T73 benchmark 94) | 64 (T73 benchmark 37) | 81 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/sapphire/square), *Jewelry cut* | 78 (T73 benchmark 94) | 45 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Princess](https://digitalgemology.com/gemstones/sapphire/princess), *Jewelry cut* | 68 (T73 benchmark 94) | 52 (T73 benchmark 37) | 78 (T73 benchmark 80) |
| [Emerald Square](https://digitalgemology.com/gemstones/sapphire/emerald-square), *Jewelry cut* | 71 (T73 benchmark 94) | 53 (T73 benchmark 37) | 72 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/sapphire/marquise), *Jewelry cut* | 55 (T73 benchmark 94) | 54 (T73 benchmark 37) | 86 (T73 benchmark 80) |
| [Pear](https://digitalgemology.com/gemstones/sapphire/pear), *Jewelry cut* | 62 (T73 benchmark 94) | 56 (T73 benchmark 37) | 76 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in sapphire **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-vitruvio&stone=sapphire), where you can set any cut against any other in sapphire. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Sapphire: questions

### What pavilion angle should I use for sapphire?

For a round design, at least 36.4°. From there, light arriving straight down reflects off both sides of the pavilion, beyond sapphire's critical angle of 34.6°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of sapphire?

34.6°, from a refractive index of 1.762. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in sapphire?

By brilliance, fire and scintillation added together, the DG-Vitruvio Cut, the DG-M5 Cut and the DG-Miliano Cut are the best brilliants in sapphire, and the Oval Cut, the Trilliant Cut and the Trillion Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does sapphire weigh compared with diamond?

Sapphire has a specific gravity of about 4.00 against diamond's 3.52, so a stone of the same size weighs about 1.14 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Emerald](https://digitalgemology.com/gemstones/emerald)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Emerald 3D models and cutting files

Source: https://digitalgemology.com/gemstones/emerald

[Gemstones](https://digitalgemology.com/gemstones/)

# Emerald 3D models and cutting files

Refractive index 1.577 to 1.583 · critical angle 39.4° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting emerald (beryl)

Emerald is green beryl. With a low refractive index it needs a steep pavilion to keep head-on light in the stone, and with typical inclusions and some brittleness it is usually given a step cut with cropped corners, the shape that took its name.

Its low dispersion means colour, not fire, is what a cut has to show, which is another reason step cuts suit it so well.

## Emerald optical properties

**Refractive index** 1.577 to 1.583

**Birefringence** 0.006

**Dispersion** 0.014

**Hardness (Mohs)** 7.5 to 8

**Specific gravity** 2.72

**Crystal system** Hexagonal

**Critical angle** 39.4°

**Guide minimum pavilion angle** 39.4° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in emerald

**In emerald, the DG-M5 Cut performs best of the 10 brilliants we score: 90 for brilliance, 46 for fire and 85 for scintillation.** The DG-Anteros Cut follows at 86, 52 and 80, then the DG-Vitruvio Cut at 78, 40 and 98. Of the three, the DG-M5 Cut has the highest brilliance and the DG-Anteros Cut the most fire.

**The top ten brilliants in emerald, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in emerald**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-M5](https://digitalgemology.com/gemstones/emerald/dg-m5), *House cut* | 90 (T73 benchmark 78) | 46 (T73 benchmark 39) | 85 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/emerald/dg-anteros), *Brilliant* | 86 (T73 benchmark 78) | 52 (T73 benchmark 39) | 80 (T73 benchmark 80) |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/emerald/dg-vitruvio), *Brilliant* | 78 (T73 benchmark 78) | 40 (T73 benchmark 39) | 98 (T73 benchmark 80) |
| [DG-Miliano](https://digitalgemology.com/gemstones/emerald/dg-miliano), *House cut* | 67 (T73 benchmark 78) | 34 (T73 benchmark 39) | 98 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/emerald/t73-round-brilliant), *Benchmark* | 78 | 39 | 80 |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/emerald/t105-round-brilliant), *Brilliant* | 71 (T73 benchmark 78) | 34 (T73 benchmark 39) | 90 (T73 benchmark 80) |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/emerald/t57-round-brilliant), *Historic cut* | 78 (T73 benchmark 78) | 40 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/emerald/old-european), *Historic cut* | 64 (T73 benchmark 78) | 42 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [DG-Rafaello](https://digitalgemology.com/gemstones/emerald/dg-rafaello), *House cut* | 54 (T73 benchmark 78) | 28 (T73 benchmark 39) | 96 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/emerald/old-single), *Historic cut* | 17 (T73 benchmark 78) | 32 (T73 benchmark 39) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in emerald **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In emerald, the Oval Cut performs best of the 23 jewelry cuts we score: 55 for brilliance, 71 for fire and 87 for scintillation.** The Teardrop Cut follows at 54, 63 and 81, then the Trillion Cut at 63, 48 and 80. Of the three, the Trillion Cut has the highest brilliance and the Oval Cut the most fire.

**The top ten jewelry cuts in emerald, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in emerald**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Oval](https://digitalgemology.com/gemstones/emerald/oval), *Jewelry cut* | 55 (T73 benchmark 78) | 71 (T73 benchmark 39) | 87 (T73 benchmark 80) |
| [Teardrop](https://digitalgemology.com/gemstones/emerald/teardrop), *Jewelry cut* | 54 (T73 benchmark 78) | 63 (T73 benchmark 39) | 81 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/emerald/trillion), *Jewelry cut* | 63 (T73 benchmark 78) | 48 (T73 benchmark 39) | 80 (T73 benchmark 80) |
| [Pear](https://digitalgemology.com/gemstones/emerald/pear), *Jewelry cut* | 56 (T73 benchmark 78) | 59 (T73 benchmark 39) | 76 (T73 benchmark 80) |
| [Asscher](https://digitalgemology.com/gemstones/emerald/asscher), *Jewelry cut* | 62 (T73 benchmark 78) | 55 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/emerald/trilliant), *Jewelry cut* | 68 (T73 benchmark 78) | 41 (T73 benchmark 39) | 79 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/emerald/cushion), *Jewelry cut* | 74 (T73 benchmark 78) | 27 (T73 benchmark 39) | 85 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/emerald/square), *Jewelry cut* | 68 (T73 benchmark 78) | 38 (T73 benchmark 39) | 78 (T73 benchmark 80) |
| [Emerald Square](https://digitalgemology.com/gemstones/emerald/emerald-square), *Jewelry cut* | 66 (T73 benchmark 78) | 46 (T73 benchmark 39) | 72 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/emerald/marquise), *Jewelry cut* | 43 (T73 benchmark 78) | 51 (T73 benchmark 39) | 86 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in emerald **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-m5&stone=emerald), where you can set any cut against any other in emerald. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Emerald: questions

### What pavilion angle should I use for emerald?

For a round design, at least 39.4°. From there, light arriving straight down reflects off both sides of the pavilion, beyond emerald's critical angle of 39.4°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of emerald?

39.4°, from a refractive index of 1.577. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in emerald?

By brilliance, fire and scintillation added together, the DG-M5 Cut, the DG-Anteros Cut and the DG-Vitruvio Cut are the best brilliants in emerald, and the Oval Cut, the Teardrop Cut and the Trillion Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does emerald weigh compared with diamond?

Emerald has a specific gravity of about 2.72 against diamond's 3.52, so a stone of the same size weighs about 0.77 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Amethyst](https://digitalgemology.com/gemstones/amethyst)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# Amethyst 3D models and cutting files

Source: https://digitalgemology.com/gemstones/amethyst

[Gemstones](https://digitalgemology.com/gemstones/)

# Amethyst 3D models and cutting files

Refractive index 1.544 to 1.553 · critical angle 40.4° · 36 cuts scored

Crystal structure, one unit cell · drag to turn

## Cutting amethyst (quartz)

Amethyst is purple quartz, and quartz has one of the lowest refractive indices of the common faceting materials. Its critical angle is large, so designs made for diamond window badly unless the pavilion is steepened. It is also a favourite first stone for cutters, and quartz is where most faceting designs are first tested.

Amethyst often shows colour zoning. Cutters orient the rough so the darker zone sits low in the pavilion, where the facets spread its colour across the face-up stone.

## Amethyst optical properties

**Refractive index** 1.544 to 1.553

**Birefringence** 0.009

**Dispersion** 0.013

**Hardness (Mohs)** 7

**Specific gravity** 2.65

**Crystal system** Trigonal

**Critical angle** 40.4°

**Guide minimum pavilion angle** 40.4° for a round design

Where a property has a range, angles are calculated from the lower refractive index, which gives the stricter limit.

## The top ten cuts in amethyst

**In amethyst, the DG-M5 Cut performs best of the 10 brilliants we score: 85 for brilliance, 50 for fire and 85 for scintillation.** The DG-Anteros Cut follows at 82, 54 and 80, then the DG-Vitruvio Cut at 71, 36 and 98. Of the three, the DG-M5 Cut has the highest brilliance and the DG-Anteros Cut the most fire.

**The top ten brilliants in amethyst, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in amethyst**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [DG-M5](https://digitalgemology.com/gemstones/amethyst/dg-m5), *House cut* | 85 (T73 benchmark 72) | 50 (T73 benchmark 36) | 85 (T73 benchmark 80) |
| [DG-Anteros](https://digitalgemology.com/gemstones/amethyst/dg-anteros), *Brilliant* | 82 (T73 benchmark 72) | 54 (T73 benchmark 36) | 80 (T73 benchmark 80) |
| [DG-Vitruvio](https://digitalgemology.com/gemstones/amethyst/dg-vitruvio), *Brilliant* | 71 (T73 benchmark 72) | 36 (T73 benchmark 36) | 98 (T73 benchmark 80) |
| [T73 Round Brilliant](https://digitalgemology.com/gemstones/amethyst/t73-round-brilliant), *Benchmark* | 72 | 36 | 80 |
| [T105 Round Brilliant](https://digitalgemology.com/gemstones/amethyst/t105-round-brilliant), *Brilliant* | 65 (T73 benchmark 72) | 31 (T73 benchmark 36) | 90 (T73 benchmark 80) |
| [DG-Miliano](https://digitalgemology.com/gemstones/amethyst/dg-miliano), *House cut* | 60 (T73 benchmark 72) | 28 (T73 benchmark 36) | 98 (T73 benchmark 80) |
| [T57 Round Brilliant](https://digitalgemology.com/gemstones/amethyst/t57-round-brilliant), *Historic cut* | 71 (T73 benchmark 72) | 37 (T73 benchmark 36) | 72 (T73 benchmark 80) |
| [Old European](https://digitalgemology.com/gemstones/amethyst/old-european), *Historic cut* | 59 (T73 benchmark 72) | 37 (T73 benchmark 36) | 81 (T73 benchmark 80) |
| [DG-Rafaello](https://digitalgemology.com/gemstones/amethyst/dg-rafaello), *House cut* | 45 (T73 benchmark 72) | 26 (T73 benchmark 36) | 96 (T73 benchmark 80) |
| [Old Single](https://digitalgemology.com/gemstones/amethyst/old-single), *Historic cut* | 15 (T73 benchmark 72) | 38 (T73 benchmark 36) | 44 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in amethyst **Brilliants:** the round cuts we score, from the Old Single to our house rounds. Ranked by brilliance, fire and scintillation added together; equal totals share a place

**In amethyst, the Oval Cut performs best of the 23 jewelry cuts we score: 52 for brilliance, 69 for fire and 87 for scintillation.** The Teardrop Cut follows at 49, 60 and 81, then the Pear Cut at 52, 60 and 76.

**The top ten jewelry cuts in amethyst, ranked by brilliance, fire and scintillation added together (equal totals share a place), each out of 100, with the T73 Round Brilliant benchmark in amethyst**

| Cut | Brilliance | Fire | Scintillation |
| --- | --- | --- | --- |
| [Oval](https://digitalgemology.com/gemstones/amethyst/oval), *Jewelry cut* | 52 (T73 benchmark 72) | 69 (T73 benchmark 36) | 87 (T73 benchmark 80) |
| [Teardrop](https://digitalgemology.com/gemstones/amethyst/teardrop), *Jewelry cut* | 49 (T73 benchmark 72) | 60 (T73 benchmark 36) | 81 (T73 benchmark 80) |
| [Pear](https://digitalgemology.com/gemstones/amethyst/pear), *Jewelry cut* | 52 (T73 benchmark 72) | 60 (T73 benchmark 36) | 76 (T73 benchmark 80) |
| [Asscher](https://digitalgemology.com/gemstones/amethyst/asscher), *Jewelry cut* | 60 (T73 benchmark 72) | 52 (T73 benchmark 36) | 72 (T73 benchmark 80) |
| [Trillion](https://digitalgemology.com/gemstones/amethyst/trillion), *Jewelry cut* | 60 (T73 benchmark 72) | 44 (T73 benchmark 36) | 80 (T73 benchmark 80) |
| [Cushion](https://digitalgemology.com/gemstones/amethyst/cushion), *Jewelry cut* | 69 (T73 benchmark 72) | 24 (T73 benchmark 36) | 85 (T73 benchmark 80) |
| [Square](https://digitalgemology.com/gemstones/amethyst/square), *Jewelry cut* | 65 (T73 benchmark 72) | 34 (T73 benchmark 36) | 78 (T73 benchmark 80) |
| [Trilliant](https://digitalgemology.com/gemstones/amethyst/trilliant), *Jewelry cut* | 63 (T73 benchmark 72) | 34 (T73 benchmark 36) | 79 (T73 benchmark 80) |
| [Emerald Square](https://digitalgemology.com/gemstones/amethyst/emerald-square), *Jewelry cut* | 61 (T73 benchmark 72) | 40 (T73 benchmark 36) | 72 (T73 benchmark 80) |
| [Marquise](https://digitalgemology.com/gemstones/amethyst/marquise), *Jewelry cut* | 38 (T73 benchmark 72) | 48 (T73 benchmark 36) | 86 (T73 benchmark 80) |

Score out of 100 T73 Round Brilliant, our benchmark, in amethyst **Jewelry cuts:** the fancy shapes we score, our house shapes among them. Ranked by brilliance, fire and scintillation added together; equal totals share a place

Brilliance is the share of face-up light the stone returns and fire the share of that light split into colour, both from our face-up light census; scintillation, the sparkle facets give as a stone moves, is read from each cut’s facets. We score 36 cuts, with the same figures as the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=dg-m5&stone=amethyst), where you can set any cut against any other in amethyst. Mazarin, Peruzzi and Old Mine, historic cushions, are in neither list. Each measured cut’s own page shows its figures in all seven gemstones. A simulation of the geometry, not a grading report.

## Amethyst: questions

### What pavilion angle should I use for amethyst?

For a round design, at least 40.4°. From there, light arriving straight down reflects off both sides of the pavilion, beyond amethyst's critical angle of 40.4°, and leaves through the table: the angle is the larger of the critical angle and (180° − critical angle) / 4. Faceters usually cut a degree or two steeper, for light that arrives off the axis. Fancy shapes vary, which is why every cut page lists its own figure.

### What is the critical angle of amethyst?

40.4°, from a refractive index of 1.544. Light striking a facet from inside the stone at less than this angle from the facet's normal passes out; above it, it reflects.

### Which cuts work best in amethyst?

By brilliance, fire and scintillation added together, the DG-M5 Cut, the DG-Anteros Cut and the DG-Vitruvio Cut are the best brilliants in amethyst, and the Oval Cut, the Teardrop Cut and the Pear Cut the best jewelry cuts, of the 36 cuts we score. This page ranks the top ten of each.

### How much does amethyst weigh compared with diamond?

Amethyst has a specific gravity of about 2.65 against diamond's 3.52, so a stone of the same size weighs about 0.75 times as much as the diamond.

## Other gemstones

- [Diamond](https://digitalgemology.com/gemstones/diamond)
- [Moissanite](https://digitalgemology.com/gemstones/moissanite)
- [Cubic Zirconia](https://digitalgemology.com/gemstones/cubic-zirconia)
- [Ruby](https://digitalgemology.com/gemstones/ruby)
- [Sapphire](https://digitalgemology.com/gemstones/sapphire)
- [Emerald](https://digitalgemology.com/gemstones/emerald)

[Browse all cuts](https://digitalgemology.com/cuts/)

---

# How we measure

Source: https://digitalgemology.com/about/how-we-measure

[About](https://digitalgemology.com/about)

# How we measure

Every number on this site comes from a formula you can check. These pages set out what each tool measures, the constants it uses, the equations behind every figure, and what we leave out.

They are written for readers who want to check the work: gemmologists, faceters, physicists, and anyone who doubts a score. Each topic below has its own page with the full method. If a figure there does not match what a page shows, [tell us](https://digitalgemology.com/contact).

## Principles

- **Geometry first.** Every stone is its facets and nothing else. The figures describe a cut’s design, not any real stone, and none of them is a grading report.
- **Deterministic.** Nothing is random between visits. Where we sample, the samples come from a fixed grid or a fixed seed, so the same cut always gives the same number.
- **Disclosed simplifications.** Each tool leaves some physics out, deliberately and for speed. Each topic says what, and [What we do not model](https://digitalgemology.com/about/how-we-measure/limits) collects them in one place.
- **Nothing is tuned to a result.** Constants come from published material data, the geometry, or the calibration stated next to them.

## Four light measures, side by side

The site traces light in four ways: the simulator, the Brightness & Tilt Analysis, the Cut Grading Tool’s brilliance and the Performance Wheel’s census. They answer different questions, so their numbers are not interchangeable. The T73 in diamond reads 93 for brilliance on the wheel and 54% in the Cut Grading Tool. A table sets out how their rays, lighting, head shadow, Fresnel, dispersion, bounces and tilt differ.

[Read more about the four light measures](https://digitalgemology.com/about/how-we-measure/light-measures)

## The 3D models

Every model is a closed solid of flat facets, traced as the intersection of one half-space per facet (the heart triangle by triangle). Weight, size, depth and length to width are measured from each mesh at every build, and every cutting file is checked facet by facet against its model.

[Read more about the 3D models](https://digitalgemology.com/about/how-we-measure/3d-models)

## Gemstone constants

The refractive index, birefringence, dispersion and specific gravity behind the gemstone pages and the simulator, and the slightly different constants of the engine behind the census and the Brightness & Tilt Analysis. With the critical angle, the shallowest pavilion that returns head-on light, and the head-on test on the cut pages.

[Read more about the gemstone constants](https://digitalgemology.com/about/how-we-measure/gemstone-constants)

## 3D Gemstone Simulator

The simulator renders a stone the way a camera would, ray-traced per pixel with full Fresnel reflection, three-colour dispersion, body colour and, in doubly refractive stones, both rays, so moissanite’s facet edges double as they do in the stone and coloured stones show their two pleochroic colours. It has ten lighting scenes. It is for seeing, not scoring: the only figures it reports are the Light Return shares, the cut grade proportions and the size.

[Read more about the 3D Gemstone Simulator](https://digitalgemology.com/about/how-we-measure/simulator)

## Brightness & Tilt Analysis

How much of a dome’s light a cut returns face-up, under three dome models and the Light Return zones, and how that changes as the stone tilts from −30° to 30°. Rays start on a fixed grid, with Schlick Fresnel at entry and exit and lossless total internal reflection in between.

[Read more about the Brightness & Tilt Analysis](https://digitalgemology.com/about/how-we-measure/brightness-tilt)

## Cut Grading Tool

The grade is read from the published proportion tables for standard round brilliant diamonds: 14,652 graded cells, taken from the document’s vector data, with no interpolation. Brilliance is traced on the T73 under an even dome with a 23° head shadow; fire and scintillation are modelled, not measured.

[Read more about the Cut Grading Tool](https://digitalgemology.com/about/how-we-measure/cut-grading-tool)

## Cut Performance Wheel and cut-page scores

One set of scores lies behind the Cut Performance Wheel, the chart on every cut page and the top ten on every gemstone page. A seeded face-up light census of 3,200 rays per gemstone traces brilliance, fire and tilt; scintillation, symmetry, spread and shape-norm follow from the facets and proportions, and one formula combines them into a global figure.

[Read more about the Cut Performance Wheel and cut-page scores](https://digitalgemology.com/about/how-we-measure/performance-wheel)

## Hearts & Arrows Scope

The scope traces a round brilliant’s own model face-up and face-down through a Hearts & Arrows viewer, colouring each ray by the direction its light came from: lens port, white disk or red reflector. Proportion changes and symmetry faults move facet planes only, and one figure per view gives the share of the pattern where all sixteen halves match.

[Read more about the Hearts & Arrows Scope](https://digitalgemology.com/about/how-we-measure/hearts-and-arrows-scope)

## What we do not model

What every tool leaves out, in one place: polarisation, birefringence and pleochroism in all but the simulator’s render, full spectral dispersion, partial internal reflection in all but the simulator, scattering, and the observer. Every figure describes a cut’s design, not a cut stone.

[Read more about what we do not model](https://digitalgemology.com/about/how-we-measure/limits)

## Check our work

The tools run in your browser, so their code is yours to read. The census is deterministic: the same seed gives the same score on every run, and our tests re-run it and require the stored scores to match exactly. If you find a formula that is wrong, a constant you would source differently, or a figure that does not follow from these pages, [write to us](https://digitalgemology.com/contact). We will correct it and say what changed.

[Open the tools](https://digitalgemology.com/tools/) [Browse the cuts](https://digitalgemology.com/cuts/)

---

# Four light measures, side by side

Source: https://digitalgemology.com/about/how-we-measure/light-measures

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Four light measures, side by side

The site traces light in four ways. They answer different questions, so their numbers are not interchangeable. The T73 round brilliant in diamond, for example, reads 93 for brilliance on the Cut Performance Wheel and 54% in the Cut Grading Tool: the first counts the share of near-vertical light returned, the second the energy returned from an evenly lit dome, head shadow included.

**How the four light measures differ**

|  | Simulator | Brightness & Tilt | Cut Grading Tool brilliance | Performance Wheel |
| --- | --- | --- | --- | --- |
| Rays | Per pixel, perspective, up to 64 samples | 132 × 132 grid, orthographic | 84 × 84 grid, orthographic | 3,200 seeded rays |
| Lighting | A lit room, ten scenes | Dome: ISO, COS or SC2 | ISO dome | Near-vertical beam, 6.9° cone |
| Head shadow | 6° to 10.5°, soft edge | 0° to 30°, default 10° | 23° | None |
| Fresnel | Full; per polarisation in doubly refractive stones | Schlick, crown and exit | Schlick, crown and exit | None |
| Dispersion | Three wavelengths at exit | None | None | Two indices at exit |
| Double refraction | Both rays, each with its own colour, in doubly refractive stones | None | None | None |
| Internal bounces | 14 | 12 | 12 | 12 |
| Tilt | Any view you turn to | −30° to 30° | Mean of −30° to 30° | 0° and 20° |

All four treat total internal reflection as lossless. Only the simulator, and only in a doubly refractive stone, carries polarisation from one bounce to the next (see [Double refraction](https://digitalgemology.com/about/how-we-measure/simulator#sim-biref)).

---

# The 3D models

Source: https://digitalgemology.com/about/how-we-measure/3d-models

[How we measure](https://digitalgemology.com/about/how-we-measure)

# The 3D models

## Geometry and units

Each model is a closed, watertight solid of flat facets, in millimetres, with the table facing +Y and the girdle plane through the origin. Every cut except the heart is convex, so the tools describe it as an intersection of half-spaces, one per facet:

`S = {x:n_i · x ≤ d_i for every facet i}`

with *n* _*i* the facet’s unit outward normal and *d* _*i* its distance from the centre. A ray enters at the last plane it crosses going in and leaves at the first plane it meets going out. The heart is traced triangle by triangle instead.

The facet count on a cut page is the number of planar faces of the STEP solid. When the cutting design counts differently (a turned girdle, for instance, is one surface in the solid but many facets on the machine), the page gives both.

## Volume and weight

Weight in carats follows from volume *V* in mm³ and specific gravity *ρ* in g/cm³:

`m = (V · ρ)/200 ct`

because a carat is 0.2 g and a cubic centimetre is 1,000 mm³. Every weight on a cut page uses this. At a given shape, weight scales with the cube of size, so the simulator scales each model by

`k = ((200 m)/(ρ V_ref))^(1/3)`

to reach the carat weight you choose, where *V* _ref is the volume at the model’s reference size. The build measures every model’s volume from its mesh each time, by the divergence theorem over its triangles,

`V = (1/6)∑_triangles a · (b × c)`

and measures its size, length to width and depth from the same mesh, with the stone turned level in plan. Rounds keep their diameter across the girdle corners. These are the figures the cut pages print. The build also checks them against the measurements of the STEP solid, and stops if a mesh is not closed, with every edge shared by exactly two triangles.

## Proportions

- **Total depth** is a percentage of the width, the shorter side in plan.
- **Length to width** is the ratio of the plan’s bounding box, to three decimals.
- **Table** is the table’s extent over the width. For rounds it is measured across the table’s corners: the largest of 64 directions.
- **Crown and pavilion angles** are the cutting design’s own main tiers. Where a design names none, they come from the model’s specification or, failing that, the area-weighted most common facet angle, in 0.5° bins, weighting each facet by its projected area *A* |*n _y*|. Angles are measured from the girdle plane: a facet’s angle is arccos |*n _y*|.
- **Girdle** facets are those within about 1° of vertical. Their thickness is sampled at every vertex column, and the page gives its minimum and maximum.

## Cutting-file accuracy

Each cut page states how closely the cutting file matches the 3D model. Every facet in the .asc file, at angle *a* and index *i* on a gear of *g* teeth, becomes a normal:

`n = (sin a cos φ, ± cos a,sin a sin φ), φ = (2 π i)/g`

We then turn the model about its axis in steps of a quarter index, in both handedness, and keep the alignment with the smallest area-weighted mean angle between each model facet and its nearest file facet. The page reports the largest angle and the mean, with the girdle given on its own. Facets smaller than 0.02% of the largest facet are left out as slivers. The check compares facet directions only, not where facets meet.

---

# Gemstone constants

Source: https://digitalgemology.com/about/how-we-measure/gemstone-constants

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Gemstone constants

The gemstone pages and the simulator use these values. For stones with a range, the refractive index used is the lower end, which gives the stricter angle limits. Dispersion is the B to G interval (686.7 to 430.8 nm).

**Material constants used by the gemstone pages and the simulator**

| Gemstone | Refractive index | Birefringence | Dispersion | Specific gravity | Critical angle |
| --- | --- | --- | --- | --- | --- |
| Diamond | 2.417 | None | 0.044 | 3.52 | 24.4° |
| Moissanite | 2.648 to 2.691 | 0.043 | 0.104 | 3.22 | 22.2° |
| Cubic zirconia | 2.15 to 2.18 | None | 0.060 | 5.6 to 6.0 (5.8 used) | 27.7° |
| Ruby | 1.762 to 1.770 | 0.008 | 0.018 | 4.00 | 34.6° |
| Sapphire | 1.762 to 1.770 | 0.008 | 0.018 | 4.00 | 34.6° |
| Emerald | 1.577 to 1.583 | 0.006 | 0.014 | 2.72 | 39.4° |
| Amethyst | 1.544 to 1.553 | 0.009 | 0.013 | 2.65 | 40.4° |

A doubly refractive stone has two indices, the ends of its range. The simulator’s render traces both (see [Double refraction](https://digitalgemology.com/about/how-we-measure/simulator#sim-biref)): ordinary *n* _o and extraordinary *n* _e are 2.648 and 2.691 for moissanite, 1.770 and 1.762 for ruby and sapphire, 1.583 and 1.577 for emerald, and 1.544 and 1.553 for amethyst. Everything else uses the single index above.

The Brightness & Tilt Analysis and the light census behind the Performance Wheel come from our research engine and use its constants, which differ slightly from the table above:

**Material constants used by the light census and the Brightness & Tilt Analysis**

| Gemstone | Index *n* | Fire spread *Δ* | Fresnel *F* _0 |
| --- | --- | --- | --- |
| Diamond | 2.417 | 0.038 | 0.172 |
| Moissanite | 2.65 | 0.090 | 0.204 |
| Cubic zirconia | 2.16 | 0.052 | 0.135 |
| Ruby and sapphire | 1.765 | 0.015 | 0.077 |
| Emerald | 1.578 | 0.012 | (census only) |
| Amethyst | 1.548 | 0.011 | (census only) |

The fire spread is about 0.86 of the published dispersion. *F* _0 is the reflectance at normal incidence, ((*n*−1)/(*n*+1))².

## Critical angle

Light inside the stone meeting a facet at more than the critical angle from its normal reflects totally:

`θ_c = arcsin(1/n)`

Each gemstone page also gives the shallowest pavilion at which a round returns head-on light. In the meridian section, light arriving straight down meets the first pavilion main at the pavilion angle *p*, the opposite main at 180° − 3 *p*, and the table at |180° − 4 *p*|. It must reflect at the first and leave at the table:

`p_min = max(θ_c, (180° − θ_c)/4)`

That is 38.9° for diamond, 36.4° for ruby and sapphire, and the critical angle itself for emerald and amethyst. Faceters usually cut a degree or two steeper, for light that arrives off the axis.

## Head-on light on cut pages

“Pavilion reflecting head-on light” is the share of the pavilion, by projected area, whose facets lie at or above the critical angle from the girdle plane. Light arriving straight down meets each such facet at at least *θ _c* and reflects. It is a first-reflection test only. The verdict reads “Holds head-on light” at 99% or more, “Minor windowing” from 90%, and “Steepen the pavilion” below that. A culet flat counts as not reflecting, and a cut with no table is not measured.

---

# 3D Gemstone Simulator

Source: https://digitalgemology.com/about/how-we-measure/simulator

[How we measure](https://digitalgemology.com/about/how-we-measure)

# 3D Gemstone Simulator

## The trace

Each pixel is ray-traced on the graphics card. The camera is a pinhole about five stone widths away. At the entry facet, a Fresnel fraction *F* reflects off the crown and the rest refracts in. Inside, the ray bounces up to 14 times. At each facet where it can escape, the transmitted fraction leaves and the reflected fraction carries on, so one branch is followed and the energy is split, not sampled. The path stops when less than 0.3% of its energy remains. In a doubly refractive stone the light also splits into two waves, and which one a path follows is sampled: see [Double refraction](https://digitalgemology.com/about/how-we-measure/simulator#sim-biref).

While the stone is still, the image refines over up to 64 samples per pixel, placed by the R2 low-discrepancy sequence. There is no random noise.

The room is a function of direction that turns with the camera: soft ambient light, a six-segment ring, lamps above and below, and small spot lights, in ten scenes from studio to candlelight. A head shadow blacks out the light within 6° of the line of sight and fades in by 10.5°. Colour temperature follows Tanner Helland’s fit, with 22% of the shift applied, because the eye adapts.

## Fresnel and dispersion

In diamond and cubic zirconia, reflectance is the full unpolarised Fresnel equation, the mean of the two polarisations at each surface (doubly refractive stones keep the two apart; see [Double refraction](https://digitalgemology.com/about/how-we-measure/simulator#sim-biref)):

`R = (1/2)(r_s^2 + r_p^2); r_s = (n_1 cos θ_i − n_2 cos θ_t)/(n_1 cos θ_i + n_2 cos θ_t); r_p = (n_1 cos θ_t − n_2 cos θ_i)/(n_1 cos θ_t + n_2 cos θ_i)`

Fire comes from refracting the ray out three times, once per colour channel:

`n_R = n − 0.3 D, n_G = n, n_B = n + 0.3 D`

where *D* is the published B to G dispersion. Red and blue display primaries sit about 0.6 of that interval apart. A channel that reflects totally contributes nothing on that exit. Dispersion is applied at the exit facet only; inside the stone the three channels share one path.

## Double refraction

Moissanite, ruby, sapphire, emerald and amethyst are doubly refractive. Inside them light travels as two waves, ordinary and extraordinary, polarised at right angles, and the render traces both, with the [two indices](https://digitalgemology.com/about/how-we-measure/gemstone-constants#two-indices) of each stone. The Light Return map, the light shares and every score on the site keep the single index. The optic axis **c** is set square to the table in every stone: the orientation cutters choose for moissanite, and for the best face-up colour in ruby and sapphire. A stone cut off its axis shows more doubling face up than the simulator does, and emeralds are often cut with the axis along the table instead.

The ordinary wave has the index *n* _o in every direction. The extraordinary wave’s index depends on the angle θ between its wave normal and the axis:

`1/(n(θ)^2) = (cos^2 θ)/(n_o^2) + (sin^2 θ)/(n_e^2)`

At each facet, the part of the wave vector **k** along the facet carries over (Snell’s law for both waves), and the part along the normal is solved on each wave’s index surface: |**k**| = *n* _o for the ordinary wave, and for the extraordinary one

`k^T A k = 1, A = (I − c c^T)/(n_e^2) + (c c^T)/(n_o^2); s∝A k`

with **k** in units of the vacuum wave number. The extraordinary light travels along **s**, not **k**: up to 0.92° apart in moissanite, and 0.22° to 0.33° in the other stones.

Each wave’s field **E** is split into its s and p parts, which take their own Fresnel coefficients *r* _s and *r* _p. Past the critical angle both are total but complex, so a total reflection also turns the polarisation. The reflected light then shares out between the two waves by projection on their fields. The ordinary wave, with field direction **ê** _o, takes the share

`P_o = (|r_s E_s(s^(^) · e^(^)_o) + r_p E_p(p^(^) · e^(^)_o)|^2)/(|r_s E_s|^2 + |r_p E_p|^2)`

where **&scirc;** is normal to the plane of incidence and **p̂** is the reflected wave’s p direction; the extraordinary wave takes the rest. Unpolarised light entering the stone splits the same way, as equal s and p parts that do not interfere. Fire leaves each exit as before, spread about the index of the wave that reaches it.

A path follows one wave at each split, and which one is chosen per sample. The samples of a still stone run through a Kronecker sequence with one dimension per split, in antithetic pairs, and every pixel takes the same choices, so there is still no random noise. A moving stone shows the first pair: ordinary all the way, and extraordinary all the way.

## Pleochroism

In ruby, sapphire, emerald and amethyst the two waves also absorb differently. The ordinary wave’s field always lies across the axis, so it takes the absorption *σ* _o. The extraordinary wave’s field turns from across the axis to along it as its direction turns away from the axis, so its absorption follows the angle θ between its wave normal and the axis:

`σ(θ) = σ_o cos^2 θ + σ_e sin^2 θ`

per colour channel, applied along each internal segment by Beer–Lambert as in [Colour, clarity and fluorescence](https://digitalgemology.com/about/how-we-measure/simulator#sim-colour). *σ* _o and *σ* _e are set either side of each stone’s single body colour, so that each ray shows the stone’s published dichroic pair:

- **Ruby**: purplish red, orangy red
- **Sapphire**: violetish blue, greenish blue
- **Emerald**: yellowish green, bluish green
- **Amethyst**: purple, a paler reddish purple

They are tuned to those colours, not measured from spectra. Face up, with the axis square to the table, most of the light reaches you as the ordinary colour, as in a well-oriented stone; at an angle the extraordinary colour mixes in. Moissanite, the D-to-Z scale and the fancy colours keep one absorption.

## Colour, clarity and fluorescence

Body colour is Beer–Lambert absorption per channel along each internal segment of length *&ell;*:

`T = e^( − σ ℓ)`

For the D to Z scale, *σ* grows as (grade/22)^1.25, from zero at D. Path lengths are in model units, so colour depth does not change with the carat weight you choose. Clarity grades place a fixed set of crystals, pinpoints and feathers, sized per grade, from a seed tied to the cut. Crystals and pinpoints end a path; feathers reflect part of it. Fluorescence adds a glow proportional to path length (up to 3 model units), under the UV scene only.

Polish is applied after the trace, as a loss of contrast and saturation. It does not scatter rays. Symmetry grades tilt each crown and pavilion facet by up to 0.25°, 0.6°, 1.2° or 2.0° in a seeded direction; the table and culet stay put.

## Light Return

The Light Return map is traced face up and orthographic, with no Fresnel, no dispersion and no absorption, so it depends on the geometry alone. Each ray is classed by the direction its light came from, measured as elevation above the girdle plane:

- **Contrast (blue)**: 75° and above: within 15° of the line of sight, where your head is
- **Direct (red)**: 45° to 75°
- **Indirect (green)**: below 45°
- **Leakage (black)**: out through the pavilion, below the horizon, or still inside after 18 bounces

The four shares are the share of face-up pixels in each class, from a 160 × 160 render with one ray per pixel, rounded to whole per cent.

## Cut grade

The simulator’s cut grade shows how a worse make of the same design looks. Each grade moves the design by a fixed schedule, and the weight is held constant by rescaling the stone:

**How far each cut grade moves the design**

| Grade | Crown angle | Pavilion angle | Girdle | Table | Culet |
| --- | --- | --- | --- | --- | --- |
| Excellent | 0 | 0 | 0 | 0 | 0 |
| Very Good | −0.5° | +0.8° | +0.5% | +3 | +0.5% |
| Good | −1.0° | +2.0° | +1.0% | +6 | +1.0% |
| Fair | −1.5° | +3.4° | +2.0% | +9 | +2.0% |
| Poor | −2.5° | +5.2° | +3.5% | +13 | +3.5% |

Crown and pavilion facets turn about their girdle edges. The table and culet are rebuilt until their size, as the square root of the area ratio, meets the target. Volume is integrated over 512 horizontal slices by the trapezoid rule. The grade describes the make; it is not a measure of light return. House cuts, the heart and the Platonic solids are shown as designed.

## Size

Measurements are the model’s reference dimensions multiplied by the scale factor *k* from [Volume and weight](https://digitalgemology.com/about/how-we-measure/3d-models#weight), for the gemstone and carat weight you choose.

The [simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) renders a stone the way a camera would see it, in a lit room. It is for seeing, not scoring: the only figures it reports are the Light Return shares, the cut grade proportions and the size.

---

# Brightness & Tilt Analysis

Source: https://digitalgemology.com/about/how-we-measure/brightness-tilt

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Brightness & Tilt Analysis

## The four light models

Each path is followed back from the eye, through the stone, to the direction its light came from. Only that direction’s elevation *e* above the horizon matters. The three dome models give it a weight:

`W_ISO = 1, W_COS = sin e, W_SC2 = 2 sin e cos e`

and *W* = 0 below the horizon or within *h* degrees of the zenith, where *h* is the head shadow you set. ISO, COS and SC2 follow the definitions in Robert W. Strickland’s GemRay user guide; the implementation is our own. The fourth window, Light Return, uses the zones in [Light Return](https://digitalgemology.com/about/how-we-measure/simulator#sim-light-return). None of the four depends on a lighting scene: they are properties of the geometry.

## The figures

Rays start on a 132 × 132 grid, straight down, one per cell centre. Of those that hit the stone, each contributes the light reflected off the crown plus the light that passes through:

`w_j = R_in W(e_spec) + (1 − R_in)(1 − R_out) W(e_exit); figure = (100/N)∑_j w_j`

*R* is Schlick’s approximation, *R* (*θ*) = *F* _0 + (1 − *F* _0)(1 − cos *θ*)^5, at the entry facet and at the exit facet. Bounces in between are total internal reflections and lose nothing. A figure of 100% would mean every ray returned all its light at full weight. The table-only figure is the same sum over the rays that enter through the table.

Leakage counts paths, not energy: the share of rays that leave below the horizon, find no exit, or are still inside after 12 bounces.

`leakage = 100(1 − (N_returned/N))`

It does not depend on the head shadow. The “vs T57” column is a relative difference, 100 (*a*/*b* − 1), and for leakage a difference in percentage points.

Because partial internal reflections are not counted, these figures sit above those of a full physical simulation, and the dip near face-up is shallower than GemRay shows.

## Tilt

The stone rotates about one horizontal axis while the dome and the viewer stay fixed, as on a hand. The chart traces 13 tilts from −30° to 30° in 5° steps, on an 84 × 84 grid. The windows draw a reduced set of planes for T105 and DG-Vitruvio, because the graphics card holds 96 at most; the figures always use the full set. Only cuts whose planes agree with their STEP solid to within 1 percentage point on every light model are included.

The [Brightness & Tilt Analysis](https://digitalgemology.com/tools/brightness-tilt-analysis) measures how much of a dome’s light a cut returns to the viewer, and how that changes as the stone tilts. It uses the same tracing for its pictures and its figures, in two separate passes: the graphics card draws the four windows, and the figures are computed on the processor.

---

# Cut Grading Tool

Source: https://digitalgemology.com/about/how-we-measure/cut-grading-tool

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Cut Grading Tool

## The grade

The grade is read from GIA’s published Cut Grade Estimation Tables for Standard Round Brilliant Cut Diamonds (revision 12-09): 18 tables, one per table size from 50% to 67%, each a grid of 37 crown angles (22.0° to 40.0°, in 0.5° steps) by 22 pavilion angles (38.8° to 43.0°, in 0.2° steps). That makes 14,652 graded cells.

We read the tables from the published document’s vector data, not by eye. Each cell’s grade was taken twice, from its fill colour and from its printed label, and the two agree on every cell. A separate pass over a 300 dpi image of each page found no differing cell.

Your inputs are snapped to the reporting steps (table 1%, crown 0.5°, pavilion 0.2°, star and lower half 5%, girdle 0.5%), rounding half up. There is no interpolation. The grade is the worst of:

- the grid cell for the table, crown and pavilion angle;
- the limits on each proportion, crown height and total depth, girdle, star and lower half;
- culet, polish, symmetry, painting and digging.

The breakdown lists every component at that worst grade. Outside the tables the grade is the worse of the nearest cell and the individual limits. The tables assume star 55%, lower half 80% and girdle 3.0%; other values can shift the grade in ways the limits do not capture, and the tool says so. Digital Gemology is not affiliated with GIA, and the tool’s result is not a GIA grade.

## Derived proportions

With the diameter set to 100 and the table measured corner to corner:

`h_c = (100 − t)/2 tan c; d_p = 50 tan p; D = h_c + g + d_p − 0.25`

for table *t*, crown angle *c*, pavilion angle *p* and girdle *g*, all in per cent of the diameter. The −0.25 offset is calibrated. Of seven candidate formulas, it is the only one that reproduces both depths worked in the published document (62.8% at a 3.0% girdle and 63.3% at 3.5%) without contradicting the grids. Crown height is limited at its value rounded to 0.5, the only rounding with no conflicts. The T73 as cut (53 / 34.5° / 40.75° / 2.5%) gives 16.15 + 2.5 + 43.16 − 0.25 = 61.6%.

## Light maps

There are 814 light maps, one for each crown and pavilion cell at 53% table, plus the T73 as cut. All are traced on the T73 (star 50%, lower half 77%, girdle 2.5%, no culet), with only the crown and pavilion angles changed. They use the zones in [Light Return](https://digitalgemology.com/about/how-we-measure/simulator#sim-light-return), face up and orthographic, at index 2.417, with no Fresnel, no dispersion and no head shadow. Each is traced at 1024 × 1024 and stored at 512 × 512 without loss. The shares are fractions of the face-up area, with rounding remainders assigned so the four sum to exactly 100.

## Brilliance, fire and scintillation

**Brilliance** is traced. It is the ISO figure from the [Brightness & Tilt Analysis](https://digitalgemology.com/about/how-we-measure/brightness-tilt#bta-figures), with a 23° head shadow, averaged over 13 tilts:

`B = (1/13)∑_τ ISO_(h = 23°)(τ)`

over the tilts *τ* = −30°, −25°, …, 30°, each on an 84 × 84 grid. The even dome and the 23° head shadow follow Hemphill et al. (1998) and Moses et al. (2004), in Gems & Gemology; 23° was not fitted to the grade tables. Values run from 41.7% to 65.1%, with a sampling noise of about ±0.2 points. Brilliance is traced on the T73 base for every cell of all 18 tables, so it does not follow the star, lower half, girdle or culet controls.

**Fire** and **scintillation** in this tool are modelled, not traced. They are smooth functions of the crown angle *c* and pavilion angle *p*, peaking at 100:

`fire = 100 e^( − ((c − 35.5)/2.2)^2)e^( − ((p − 40.9)/0.95)^2); scintillation = 100 e^( − ((p − 40.8)/0.9)^2)e^( − ((c − 34.5)/2.7)^2)`

They show where each effect is strongest across the grid; the numbers are not measurements.

The [Cut Grading Tool](https://digitalgemology.com/tools/cut-grading-tool) grades a round brilliant from its proportions. It is for education: not a grading standard, and not a substitute for a laboratory report.

---

# Cut Performance Wheel and cut-page scores

Source: https://digitalgemology.com/about/how-we-measure/performance-wheel

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Cut Performance Wheel and cut-page scores

## The light census

Each cut is scaled to unit size in plan. For each gemstone, 3,200 rays from a fixed seed fall on the stone from above: their directions are cosine-weighted within 0.12 rad (6.9°) of vertical, and their starting points cover a disc larger than the stone. Rays that miss are not counted, and every ray that enters is fully transmitted: there is no Fresnel loss. Inside, a ray reflects totally or leaves through the first facet that lets it out, for up to 12 bounces. Each entering ray ends in one class:

- **Useful**: out through the crown, after at least one pavilion reflection, within 64° of vertical
- **Blink**: out through the crown without touching the pavilion
- **Leak**: out through the pavilion, or through the crown heading down
- **Grazing**: out through the girdle
- **Lost**: out of the viewing cone, or still inside after 12 bounces

A useful ray also counts as fire when refracting it out at *n* − *Δ* and at *n* + *Δ* sends the two colours more than 0.6° apart. The census runs twice: face up, and tilted 20° about x (2,200 rays).

## The eight axes

With *N* the rays that enter, *f* the cut’s active facets and depth in per cent:

`Brilliance B = 100 N_useful/N; Fire F = 100 N_fire/N_useful; Tilt T = min(100, 100 B_(20°)/B_(0°)); Scintillation S = 100(1 − e^( − f/45)); Symmetry Y = max(0, 100 − 6 σ); Spread = min(130, 100(61.5/depth)^(1/3)); Shape-norm = min(125, 100 B/C_family); Global = 0.34 B + 0.20 F + 0.16 T; + 0.10 S + 0.10 Y + 0.10(100 − leak)`

- **Brilliance** and **fire** are traced. Fire is a share of the useful light, not of all light, so a dim stone can still score high on fire.
- **Scintillation** is not traced. It is a saturating function of the number of facets that reach the surface; buried planes do not count. It is the same in every gemstone.
- **Tilt** is retention: how much of its face-up light a cut keeps at 20°. It is capped at 100, so a dim cut cannot score well for having little to lose.
- **Symmetry** groups the pavilion facets into angle families, split wherever consecutive angles differ by more than 0.45°. *σ* is the size-weighted mean, over families, of the standard deviation of their angles plus 57.3 times the relative standard deviation of their distances from the centre, both in degrees. A multi-angle pavilion is a design, not an asymmetry.
- **Spread** is face-up size per carat against a 61.5% deep stone. Weight goes with the cube of the diameter, hence the cube root.
- **Shape-norm** compares brilliance with a ceiling for the cut’s family: 93 for round brilliants, 86 for fancy brilliants, 76 for step cuts and 64 for the rest.

Spread and Shape-norm are the only axes that can pass 100. The wheel draws them on the 100 ring and the list gives the true figure. Every other axis is an absolute figure, not scaled to any reference. The T73 round brilliant in the same gemstone is the comparison: the dashed outline on the wheel and the thin mark on each cut-page bar. In diamond it reads 93 brilliance, 78 fire and 80 scintillation.

## House cuts

DG-M5 and DG-Rafaello use research plane sets that match our models to within 0.09°. DG-Miliano, DG-Elongated Hexagon and DG-Octagonal Kite are measured on our own models, placed as the census places every stone. Before those scores are accepted, six cuts with known figures are re-measured the same way, and each must land within 0.5 of its Global score. Three cuts are not measured: the heart, because it is concave, and DG-Cabochon and the Elongated Hexagonal Bipyramid, because they have no table for face-up light to enter.

## Rankings

- **Cut pages** tag “Highest brilliance” and “Highest fire” on the gemstones with the highest rounded figure, and “Best overall” on the highest brilliance plus fire. Scintillation is left out there because it is the same in every gemstone. Ties tag every stone.
- **Gemstone pages** rank cuts by brilliance + fire + scintillation, rounded. Equal totals share a place (1, 2, 2, 4), and every cut placed tenth or better is shown, so a list can run to eleven. Brilliants and jewelry cuts are ranked separately.

The [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel), the chart on every cut page and the top ten on every gemstone page share one set of scores, computed once by our face-up light census and stored unrounded. Pages round half up for display.

---

# Hearts & Arrows Scope

Source: https://digitalgemology.com/about/how-we-measure/hearts-and-arrows-scope

[How we measure](https://digitalgemology.com/about/how-we-measure)

# Hearts & Arrows Scope

## The cuts

Four cuts carry the pattern: the T73 and T105 round brilliants, DG-Vitruvio and DG-Anteros. Each is traced on its own 3D model, the geometry we sell, as the planes of its facets. Pieces of one facet are merged and the plane refitted through all their corners. Each cutting design has exact eight-fold mirror symmetry, while a model matches its design only to its stated accuracy. So each facet is replaced by the average of its 16 mirror and turn copies, which moves no facet by more than 0.0005°. A cut as designed therefore reads exactly 100%. DG-Vitruvio’s model approximates its 96 girdle facets with 208 faces; its girdle is rebuilt from the faces in one sixteenth of the circle.

## The viewer

The eye looks straight down the stone’s axis, with parallel rays, one or more per pixel. Each ray refracts in, reflects totally inside for up to 24 bounces, and leaves at the first facet that lets it out. The view colours it by the angle *θ* between its exit direction and the viewing axis: the direction the light came from, as the viewer sees it.

- **Lens port**: *θ* < 2.5°, dark
- **White disk**: 2.5° ≤ *θ* < 13.5°, white: this draws the arrows and the hearts
- **Red reflector**: 13.5° ≤ *θ* ≤ 90°, red
- **Nothing**: light heading away from the viewer, or still inside after 24 bounces, dark

The viewer is a direction-to-colour device, so the trace has no Fresnel loss, no partial reflection, no dispersion and no double refraction: one refractive index per gemstone, the one the Light Return maps use. The hearts are the same stone turned half a turn about a horizontal axis. While a slider moves, the views are traced with one ray a pixel; at rest, with four or nine.

## Proportions and symmetry faults

Every change moves facet planes only, so the stone stays the convex solid its planes enclose.

- **Pavilion and crown angle** tilt every sloping pavilion facet, or every crown facet but the table, by the change from the cut’s own angle. Each turns about the horizontal line where it crosses the girdle’s bottom (pavilion) or top (crown) on its own azimuth.
- **Table size** sets the table plane at the height where the table measures that share of the diameter, corner to corner, found by bisection. It is solved again after the crown moves, so the table holds its size and the crown height changes.
- **Crown twist** turns every crown facet, the table included, by *τ* about the axis.
- **Main angles** tilt pavilion main *k* by *a* *w _k*, and **main spacing** turns it about the axis by *s* *w′_k*, with *w* = (0.6, −1, 0.35, 0.85, −0.45, −0.75, 1, −0.2) and *w′* = (−0.5, 0.8, −1, 0.25, 0.9, −0.3, 0.6, −0.7). The patterns are fixed and peak at 1, so the slider gives the largest error.
- **Culet off-centre** shears the pavilion sideways, which leaves the girdle in place and moves the culet by *c*, as a share of the diameter:

`x′ = x + c/(y_girdle − y_culet)(y_girdle − y)`

## Symmetry

The figure asks whether the pattern’s 16 halves match. Points are laid on a polar grid over one half-sector, from a mirror line of the cut to 22.5° beside it: 32 angles by 96 radii, out to 0.49 of the diameter, inside every girdle. Each point is traced in all 16 of its images, eight turns of 45°, each with and without the mirror. It counts when all 16 show the same colour (white, red or dark; the port and “nothing” look alike). With *r _j* the point’s radius, which weights it by the area it stands for:

`Symmetry = 100(∑_j r_j [all 16 agree])/(∑_j r_j)`

It is computed in double precision and shown as a whole per cent; 100% means every point agrees, and nothing less rounds up to it. Proportions alone never lower it, because they change every half alike. They change what the pattern looks like, not whether its halves match. In the T73 in diamond, main angles off by up to 0.1° give 90% face-up and 85% face-down; a crown twist of 1° gives 92% and 88%.

The [Hearts & Arrows Scope](https://digitalgemology.com/tools/hearts-and-arrows-scope) shows a round brilliant face-up (the arrows) and face-down (the hearts) through a Hearts & Arrows viewer, and gives each view one figure, its symmetry. It uses the same viewer as the Hearts & Arrows images on the gemstone pages.

---

# What we do not model

Source: https://digitalgemology.com/about/how-we-measure/limits

[How we measure](https://digitalgemology.com/about/how-we-measure)

# What we do not model

- **Polarisation.** Fresnel losses are averaged over polarisation at each surface, and no polarisation state is carried between bounces, except in the simulator’s render of a doubly refractive stone, which follows each wave’s polarisation (see [Double refraction](https://digitalgemology.com/about/how-we-measure/simulator#sim-biref)).
- **Birefringence and pleochroism.** Only the simulator’s render traces both indices of a doubly refractive stone, and only with the optic axis square to the table. Every measure and score, the Light Return map included, uses a single index, so moissanite’s doubling shows in the render but not in the figures. Pleochroism, likewise, is in the render only, and each ray’s colour is tuned to the stone’s published dichroic pair, not measured from spectra.
- **Full spectral dispersion.** The simulator uses three wavelengths and the census two, both at the exit facet only. The Brightness & Tilt Analysis and the Cut Grading Tool’s brilliance use none.
- **Partial internal reflection** in every measure except the simulator. Internal total reflection is lossless everywhere.
- **Scattering and surface roughness.** Facets are perfectly flat and polished; the simulator’s polish grades act on the finished image.
- **The observer.** Apart from a head-shadow cone, no body, camera or setting blocks the light. The analytical measures view from infinitely far away.
- **Real stones.** Every figure describes the design. A cut stone’s figures will differ with its make, its material and its setting.

---

# Legal notices

Source: https://digitalgemology.com/legal/

Digital Gemology

# Legal notices

Last updated 3 October 2026

Who you are dealing with, and how we meet the obligations that come with it. Every notice below is published by Compliance Condo B.V., the Dutch company behind Digital Gemology. One company, one set of rules, published in full.

Short version: we are a registered Dutch private limited company, our files are sold through Lemon Squeezy as merchant of record and licensed to you by us, we take no cash payments in any amount, we do not sell or share your personal data, and we publish an address for every kind of complaint. The notices below give the detail behind each of those claims.

## Who is publishing this

**Legal name** Compliance Condo B.V.

**Trading as** Digital Gemology (3D files and cutting files)

**Legal form** Besloten vennootschap, a private limited company under Dutch law

**Chamber of Commerce** KvK 95458859, registered in the Netherlands

**VAT number** NL867139341B01

**Registered office** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**General contact** [support@digitalgemology.com](mailto:support@digitalgemology.com)

## The notices

- ## [Legal personality](https://digitalgemology.com/legal/legal-personality)
  Who you are actually dealing with: the company, its registration numbers, its governance, and the part Lemon Squeezy plays when you buy a file.
  - [Read the notice](https://digitalgemology.com/legal/legal-personality)
- ## [Terms and conditions](https://digitalgemology.com/terms)
  What you agree to when you buy a file: the licence that comes with every download, your right of withdrawal, what happens if a file is faulty, and how disputes are settled.
  - [Read the terms](https://digitalgemology.com/terms)
- ## [Intellectual property](https://digitalgemology.com/legal/intellectual-property)
  Who owns the geometry and the cutting diagrams, what your file licence lets you do, the names we mention but do not own, and how to raise a claim.
  - [Read the notice](https://digitalgemology.com/legal/intellectual-property)
- ## [Privacy and data](https://digitalgemology.com/privacy)
  What personal data we hold, why we are allowed to hold it, how long we keep it, every cookie we set, and how to exercise your rights under the GDPR.
  - [Privacy Policy](https://digitalgemology.com/privacy)
  - [Cookie Policy](https://digitalgemology.com/cookies)
- ## [Cyber security](https://digitalgemology.com/legal/cyber-security)
  How the site and the store are secured, our voluntary registration with the NCSC under the Dutch Cyberbeveiligingswet, and how to report a vulnerability to us.
  - [Read the notice](https://digitalgemology.com/legal/cyber-security)
  - [Security FAQ](https://digitalgemology.com/security)
- ## [Artificial intelligence](https://digitalgemology.com/legal/artificial-intelligence)
  Where we use AI and where we deliberately do not, how we label what it makes, and why no facet angle or measured figure we publish is ever generated by a model.
  - [Read the notice](https://digitalgemology.com/legal/artificial-intelligence)
- ## [Anti-money laundering](https://digitalgemology.com/legal/anti-money-laundering)
  Why a file sale is low risk, our no-cash policy, what we refuse outright, and where we report.
  - [Read the notice](https://digitalgemology.com/legal/anti-money-laundering)
- ## [Web accessibility](https://digitalgemology.com/accessibility)
  Our conformance target under WCAG 2.1 and 2.2 at level AA, what we have done to meet it, the limitations we know about, and how to tell us when something blocks you.
  - [Accessibility statement](https://digitalgemology.com/accessibility)

## Other published terms

Not compliance notices as such, but part of the same record.

- [Security and privacy FAQ](https://digitalgemology.com/security)
- [security.txt](https://digitalgemology.com/.well-known/security.txt)
- [Lemon Squeezy buyer terms](https://www.lemonsqueezy.com/buyer-terms), which apply to the checkout

## Raising something with us

Every notice names its own contact address, and all of them reach a person.

**General and orders** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**Privacy requests** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**Security reports** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**Post** Compliance Condo B.V., Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

Dutch law applies to everything on this page. Consumers keep every right that Dutch and EU mandatory law gives them, including the right to bring a dispute before the court of their own place of residence. Consumers who would rather not go to court may seek free assistance from the European Consumer Centre in their country of residence via [eccnet.eu](https://www.eccnet.eu). The European Commission's Online Dispute Resolution platform has been discontinued and is no longer available.

These notices describe our own practice and are published for transparency. They are not legal advice, and they do not replace the [terms and conditions](https://digitalgemology.com/terms), which are what you actually agree to when you buy one of our files.

---

# Legal personality

Source: https://digitalgemology.com/legal/legal-personality

[Legal notices](https://digitalgemology.com/legal/)

# Legal personality

Last updated 3 October 2026

Every file, every licence and every promise on this site comes from one legal person. This notice says exactly which one, and what part Lemon Squeezy plays when you buy, so you always know who you are dealing with and where to find them.

## The company

**Legal name** Compliance Condo B.V.

**Legal form** Besloten vennootschap, comparable with a private limited liability company

**Governing law** The law of the Netherlands

**Corporate seat** Gouda, the Netherlands

**Registered office** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**Chamber of Commerce** KvK number 95458859

**Establishment number** 000060869631

**RSIN** 867139341

**VAT identification** NL867139341B01

**Deed of incorporation** 4 November 2024

**Entered in the register** 8 November 2024

**Trade name** Digital Gemology, registered in the Business Register

**Contact** [support@digitalgemology.com](mailto:support@digitalgemology.com)

## What a besloten vennootschap is

A besloten vennootschap, usually shortened to B.V., is a legal person in its own right under Dutch law. It is not its owners and it is not its founders. It signs contracts in its own name, owns its own assets, and carries its own liabilities.

In practice that means three things for you. The company, not any individual, is your counterparty. The company's liability is its own, and the liability of its shareholders is limited to the capital they have put in. And the company continues to exist independently of any change in the people behind it, so a licence you bought from us survives a change of ownership or management.

Directors can still be held personally liable in the cases Dutch law provides for, such as improper management or misleading financial reporting. Nothing on this page limits that.

## Governance

**Sole shareholder** Distro Holding B.V., KvK 95417591, Koningin Wilhelminaweg 219, 2802 HE Gouda

**Statutory director** Distro Holding B.V., in office since 4 November 2024

**Authority** Solely and independently authorised to represent the company

**Issued and paid-up capital** EUR 9.99

The company has a single shareholder and a single statutory director, and they are the same legal person. Whoever signs on behalf of Compliance Condo B.V. does so under that authority. If you need confirmation that a particular person may bind the company, ask us in writing before you rely on it.

## Trading name

**Digital Gemology** is the name we trade under for 3D files and cutting files, at [digitalgemology.com](https://digitalgemology.com/). It is a registered trade name of the company in the Dutch Business Register, not a separate entity. **Compliance Condo** is the corporate name.

There is no Digital Gemology B.V. If a document, licence or contract refers to Digital Gemology, the legal person behind it is Compliance Condo B.V., registered under KvK 95458859.

## Who does what when you buy a file

**Seller at checkout** Lemon Squeezy (Link, LLC, formerly Lemon Squeezy LLC, Salt Lake City, United States), reseller and merchant of record

**Receipt, invoice and tax** Issued and charged by Lemon Squeezy

**Maker and licensor of every file** Compliance Condo B.V., trading as Digital Gemology

**Data controller for this site** Compliance Condo B.V.

Lemon Squeezy buys the right to resell each download from us and sells it to you under its buyer terms, taking payment and charging the tax that applies where you live. The licence that comes with every file is granted by Compliance Condo B.V. and stays between you and us, and so do our promises on withdrawal, faulty files and support in the [terms and conditions](https://digitalgemology.com/terms).

## Why we publish this

A provider of an information society service has to make its identity, its geographic address, its contact details, its register entry and its VAT number easily, directly and permanently accessible. That duty comes from Article 3:15d of the Dutch Civil Code, which implements the European e-Commerce Directive. This page, together with the [legal notices index](https://digitalgemology.com/legal/), is where we meet it.

## Disputes

Dutch law governs our contracts. Disputes are heard by the competent court in The Hague, except that a consumer always keeps the right to bring a dispute before the court that mandatory law assigns them, normally the court of their own place of residence. Consumers who would rather not go to court may seek free assistance from the European Consumer Centre in their country of residence via [eccnet.eu](https://www.eccnet.eu). The European Commission's Online Dispute Resolution platform has been discontinued and is no longer available. The full position is set out in our [terms and conditions](https://digitalgemology.com/terms).

## Keeping this accurate

The figures above are taken from our Business Register extract. You can verify any of them yourself, free of charge, by searching KvK number 95458859 in the Dutch Business Register at [kvk.nl](https://www.kvk.nl), and the VAT number in the European Commission's VIES system. If you find a discrepancy between this page and the register, the register is correct and we would be grateful if you told us at [support@digitalgemology.com](mailto:support@digitalgemology.com).

Related: [Intellectual property](https://digitalgemology.com/legal/intellectual-property) sets out what the licence on every file covers, and [the privacy policy](https://digitalgemology.com/privacy) names the same company as data controller.

---

# Terms and conditions

Source: https://digitalgemology.com/terms

[Legal notices](https://digitalgemology.com/legal/)

# Terms and conditions

Version 1.3, 3 October 2026

These terms apply to the 3D files and cutting files you buy from Digital Gemology through **digitalgemology.com**, and to your use of our free 3D Gemstone Simulator. Checkout is run by Lemon Squeezy, which sells the files to you as reseller and merchant of record (Article 6). Part A sets out the definitions, who we are and when these terms apply; Part B covers files; Part C covers the 3D Gemstone Simulator; Part D contains the provisions that apply to both, including intellectual property, liability, complaints and disputes. Some provisions apply only to consumers or differ for business customers, as indicated.

## Part A. General

### Article 1. Definitions

- **Digital Gemology, we**: Compliance Condo B.V., trading as Digital Gemology, as identified in Article 2.
- **Consumer**: a natural person who is not acting for purposes relating to their trade, business, craft or profession.
- **Business customer**: any customer that is a legal person, or a natural person acting for purposes relating to a trade, business, craft or profession, for example a gem cutter, jeweler, designer, manufacturer or school.
- **File**: any digital file we supply, including 3D models (such as STEP, STL, OBJ, GLB, FBX and 3DM files), cutting files (such as GemCad `.asc` files), tier tables, faceting diagrams, certificates and previews, and any update to them.
- **Digital stone**: a gemstone that exists only as a 3D model in the 3D Gemstone Simulator, with the cut, material and values set there. It is not, and does not describe, any physical stone.
- **3D gemstone report**: the report the 3D Gemstone Simulator produces for a digital stone, on screen, as an image or as a PDF. It describes that digital stone only.
- **Lemon Squeezy**: Link, LLC (formerly Lemon Squeezy LLC), 222 South Main Street, Suite 500, Salt Lake City, Utah 84101, United States, which runs our checkout and resells our files as merchant of record.
- **Licence**: the Personal Use Licence described in Article 9 and supplied as `LICENCE.txt` in every download.
- **Licence key**: the key issued with each order, shown on your order page and in your receipt, that identifies your licence.
- **Digital content**: data produced and supplied in digital form.
- **Durable medium**: any means, including email, that lets information addressed to you personally be stored for future reference and reproduced unchanged.
- **Day**: calendar day.

### Article 2. Who we are

**Trading name** Digital Gemology

**Legal name** Compliance Condo B.V.

**Address** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**Email** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**Chamber of Commerce (KvK)** 95458859

**VAT number** NL867139341B01

### Article 3. When these terms apply

1. These terms apply to every file we offer on digitalgemology.com, to the licence that comes with it, and to your use of the 3D Gemstone Simulator (Part C).
2. These terms are available before you order, and you can save or print them. Every download also contains `LICENCE.txt`, the licence that applies to it.
3. If a product page states specific conditions in addition to these terms, and the two conflict, a consumer may always rely on whichever is more favourable to them.

### Article 4. Consumers and business customers

1. Nothing in these terms takes away a consumer's mandatory statutory rights. Where a provision conflicts with mandatory consumer law, it does not apply to consumers to the extent of the conflict.
2. For business customers the consumer-specific provisions do not apply. In particular, business customers have **no right of withdrawal** under Article 10, and the business provisions of Article 15 apply.
3. The files on this site come with a personal-use licence. Using them in or for a business needs a commercial licence (Article 9, paragraph 6).

## Part B. 3D files and cutting files

### Article 5. What we offer

1. Each product page states what the download contains: which cut, which file formats, what else is included, and any measured figures. That description is part of the agreement.
2. Preview images are renders of the geometry in the files you are buying. They are computed images, not photographs of a cut stone, and are labelled as renders.
3. Where a cut is designed for a particular material, or a cutting file for a particular index gear, the product page says so.
4. If we make an obvious error in a price, such that no reasonable person could have taken it for a real offer, we may decline the order. We then refund you in full straight away and you owe us nothing. Otherwise we honour the price we published.

### Article 6. How the sale works

1. Our files are sold through **Lemon Squeezy**, which acts as reseller and merchant of record. When you check out, you buy the files from Lemon Squeezy under its [buyer terms](https://www.lemonsqueezy.com/buyer-terms). Lemon Squeezy takes your payment, charges any VAT or sales tax, and sends you the receipt and invoice.
2. We make the files and we license them. The licence in Article 9 is granted by Compliance Condo B.V. and is between you and us.
3. Lemon Squeezy's buyer terms govern the payment, the tax and the receipt. These terms govern the files, the licence and the promises we make in Articles 6 to 12. Where both cover the same point, you may rely on whichever is more favourable to you. Our promises add to Lemon Squeezy's terms; they do not replace them.
4. The agreement is concluded when you complete checkout and your payment is confirmed. Lemon Squeezy confirms the order by email straight away.

### Article 7. Delivery

1. Files are delivered by download, normally immediately after payment. The download link and your licence key appear on the confirmation page and in Lemon Squeezy's receipt email, and stay available on your Lemon Squeezy order page. If a download is not available within 24 hours, tell us and we will send the files another way.
2. We keep your purchases available for re-download for as long as we sell the product, and for at least 12 months after purchase in any case. If a link stops working, email us and we will send the files. Please keep your own copy.
3. If we correct an error in a file you bought, we make the corrected version available to you free of charge.

### Article 8. Prices and payment

1. Prices are in euro. For consumers in the European Union, the price shown includes VAT. The final amount, including any tax for your country, is shown at checkout before you pay.
2. Lemon Squeezy works out and charges the VAT or sales tax that applies where you live, and pays it to the tax authorities. A business customer can enter a VAT or tax ID at checkout, and Lemon Squeezy then applies the tax rules for business sales.
3. Payment is made to Lemon Squeezy at checkout, by card, PayPal or another method it offers, and is processed by Lemon Squeezy and its payment processors. We never receive your card or PayPal details.
4. **We accept no cash payments, in any amount.**
5. We do not raise the price of an order after it has been placed.

### Article 9. The file licence

1. **You buy a licence, not the file.** When your payment is confirmed, Compliance Condo B.V. grants you a personal, non-exclusive, non-transferable, worldwide and perpetual licence to use the files you bought on the terms of this Article, unless the product page states a different licence. The full wording is the Personal Use Licence in `LICENCE.txt`, included in every download. All other rights are reserved.
2. **Who may use it.** The licence belongs to the person who bought it, for their own private, non-commercial use. It does not extend to a business, an employer, a client or anyone else. Everyone who uses the files needs their own licence.
3. **You may:**
  1. open, view, render and animate the files for your own personal projects;
  2. 3D print or cast the model, and cut stones from the cutting file, for yourself or as a gift, as long as no money or other payment changes hands;
  3. modify and convert the files for these personal uses;
  4. post images and renders you made with the files on your own non-commercial social media or hobby forums, with a credit to Digital Gemology.
4. **You may not:**
  1. use the files, or anything made with them, commercially: selling or offering for sale, commissioned or client work, advertising, or any use in or for a business;
  2. sell stones cut from a cutting file, or objects printed, cast or otherwise made from a model;
  3. share, sell, give away, lend, upload or sublicense the files, or any modified, converted or re-exported version of them, on their own or as part of anything else;
  4. include a file, or geometry derived from it, in another file product, pack, library, template, plug-in, game asset, NFT or marketplace listing;
  5. use the files to train, test or build any system that generates or reproduces geometry, including machine-learning models;
  6. remove the copyright notice or metadata that identifies the files as ours, or claim authorship of the cut designs.
5. If you seriously breach this Article, the licence ends and you must delete the files.
6. **Commercial use.** Selling stones or jewelry, working for clients or using the files in a business needs a commercial licence. Ask us at [support@digitalgemology.com](mailto:support@digitalgemology.com). We are open to it.

### Article 10. Right of withdrawal and refunds (consumers)

1. As a consumer you may withdraw from your purchase **within 14 days** of the day you bought it, without giving a reason, **even if you have already downloaded the files**.
2. To withdraw, tell us within that period by email to [support@digitalgemology.com](mailto:support@digitalgemology.com) or in any other clear way, with your order number or the email address you bought with. You may use the EU model withdrawal form, but you do not have to.
3. We then have the order refunded in full through Lemon Squeezy, to the payment method you used, within 14 days of your message and at no cost to you.
4. When you withdraw, your licence ends: delete the files and any copies or conversions, and stop using them.
5. Lemon Squeezy's buyer terms say that the right of withdrawal ends once a download has begun. We do not rely on that: the 14 days in this Article apply to every consumer purchase of our files.
6. Withdrawal is separate from your rights if a file is faulty. Those are in Article 11, and they last beyond the 14 days.

### Article 11. If a file is faulty

1. We guarantee that each file matches its product description, opens correctly in current mainstream software for its format, and is complete. This is in addition to your statutory rights for digital content, which it does not limit.
2. If a file is missing, corrupt, incomplete or does not match its description, tell us. We will first repair or replace it, free of charge and within a reasonable time.
3. If we cannot repair or replace it, or do not do so within a reasonable time, you are entitled to a proportionate price reduction or, where the fault is not minor, a full refund. We arrange the refund through Lemon Squeezy, to the payment method you used.
4. A file is not faulty because it does not open in software that does not support its format, or because it does not suit a use the product page did not claim.

### Article 12. Using cutting files and models

1. A cutting file describes geometry exactly. How a real stone turns out also depends on things outside the file and outside our control: the rough, its orientation and inclusions, the material's actual refractive index, the machine, the index gear, the laps and the skill of the cutter. We recommend a trial cut in inexpensive material before you cut valuable rough.
2. Measured figures, such as light return, describe the modelled geometry under a stated protocol. They are not a grading report, certificate, appraisal or valuation of any stone, and must not be presented as one.
3. The "Light Return" view is our own rendering. It is not an ASET® analysis or any certified light-performance measurement.
4. 3D models describe the stone's shape. Settings, prongs, seats and tolerances for manufacturing remain your design decisions.

## Part C. The 3D Gemstone Simulator

### Article 13. Using the 3D Gemstone Simulator

1. The [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) is free to use and needs no account.
2. **It is a simulation.** The simulator shows a digital stone in a 3D simulator, and its report is a 3D gemstone report of that digital stone, whether you view it on screen, save it as an image or download it as a PDF. A 3D gemstone report is not a grading report, certificate, appraisal or valuation, it is not issued by a gemmological laboratory, and it makes no statement about any physical stone.
3. Carat, colour, clarity, cut grade, polish, symmetry, fluorescence and origin are values you set. At the Excellent cut grade, the measurements, proportions, angles and facet counts are measured from our own 3D models and cutting files; at other settings the simulator may alter the model to illustrate the value you chose, and the figures then describe that altered model. The image of the stone and the Light Return figures are our own computed rendering, and Article 12, paragraphs 2 and 3, applies to them.
4. The simulator is provided as it is. We do not promise that it is always available or free of errors, and we may change, suspend or withdraw it at any time. The liability provisions of Article 15 apply to its use.
5. You may share links to the simulator, screenshots of it, and images and PDFs of your digital stone and its 3D gemstone report. You may not present any of them as a grading report, certificate, appraisal or valuation, or as describing a physical stone, for example when offering a stone for sale. Keep the label "A simulation, not a grading report" visible, and do not remove it or edit a 3D gemstone report to hide it.
6. The simulator's software and the geometry it shows remain ours. Using it gives you no licence to our 3D models or cutting files. Apart from paragraph 5 and what our intellectual property notice allows, you may not extract, copy or reuse the geometry or the data files it loads. Article 14 applies.

## Part D. General provisions

### Article 14. Intellectual property

1. All intellectual property rights in the files, the 3D Gemstone Simulator, the site and its content belong to Compliance Condo B.V. or its licensors. You receive only the rights described in Articles 9 and 13, and those our intellectual property notice gives everyone.
2. Our position on trade marks, traditional cuts and the names of others is set out in our [intellectual property notice](https://digitalgemology.com/legal/intellectual-property).

### Article 15. Liability

1. Nothing in these terms excludes or limits liability that cannot be excluded or limited under mandatory law, including liability for intent or deliberate recklessness, for death or personal injury, or under mandatory consumer protection.
2. **For consumers:** our liability is limited only to the extent mandatory law permits. Your statutory rights are unaffected.
3. **For business customers:** to the maximum extent the law permits, we are not liable for indirect or consequential loss, including loss of profit, turnover, data, goodwill or rough material, and our total liability arising from or in connection with an agreement is limited to the amount the business customer paid us in the 12 months before the event that caused the loss.
4. **For the 3D Gemstone Simulator:** it is free and, as Article 13 explains, makes no statement about any physical stone. Subject to paragraphs 1 and 2, we are not liable for loss arising from its use, or from decisions based on what it shows, including a 3D gemstone report, to the extent the law permits.

### Article 16. Complaints

1. Send complaints, fully and clearly described, to [support@digitalgemology.com](mailto:support@digitalgemology.com) within a reasonable time after you discover the problem.
2. We answer complaints within 14 days of receipt. If a complaint needs longer, we acknowledge it within 14 days and tell you when to expect a full answer.
3. A question about a charge, a receipt or an invoice can also go to Lemon Squeezy directly. If you write to us instead, we take it up with Lemon Squeezy for you.

### Article 17. Disputes and applicable law

1. Dutch law applies to these terms and to the licence. A consumer living in another country keeps the protection of the mandatory law of that country. Lemon Squeezy's buyer terms state the law that governs the sale itself.
2. Before going to court, both parties will make a genuine effort to resolve the dispute together.
3. Disputes go to the competent court of the district of The Hague, unless mandatory law designates another court. A consumer may always bring a dispute before the court of their own place of residence. Consumers who would rather not go to court may seek free assistance from the European Consumer Centre in their country of residence via [eccnet.eu](https://www.eccnet.eu). The European Commission's Online Dispute Resolution platform has been discontinued.

### Article 18. Additional agreements

Additional or deviating agreements may not be to a consumer's disadvantage, and must be recorded in writing or in another form the consumer can store on a durable medium.

### Article 19. Changes to these terms

We may change these terms, for example when our products or the law change. The version that applies to a purchase is the one in force when you made it, the version that applies to your use of the 3D Gemstone Simulator is the one in force when you use it, and a change never takes away rights under a licence you already hold. The version and date are stated at the top of this page.

### Article 20. Contact

**Company** Compliance Condo B.V. (trading as Digital Gemology)

**Address** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**Email** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**KvK** 95458859

---

# Intellectual property

Source: https://digitalgemology.com/legal/intellectual-property

[Legal notices](https://digitalgemology.com/legal/)

# Intellectual property

Last updated 3 October 2026

What we sell is intellectual property: geometry and cutting instructions. So this notice matters more here than on most sites. It sets out what we own, what a file licence lets you do, which names on our pages belong to other people, and what to do if you think we have used something of yours.

## What we own

Unless stated otherwise, everything published on digitalgemology.com is © 2026 Compliance Condo B.V. That includes:

- the 3D models we sell, in every format we supply them in;
- the cutting files, including the GemCad files, the tier tables and the faceting diagrams;
- the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator), its code and the cut geometry it shows;
- all written content on this site, including these notices;
- every rendered image and preview, and the Light Return illustrations;
- the measured figures that accompany a cut, and any collection of them as a data set.

The measured figures are not collected from elsewhere. Each one is produced by our own ray-tracing engine, which traces light through the facet geometry under our own protocol. That makes the resulting data our own work and protected as such, both by copyright and as a database.

## Traditional cuts and our files of them

Many of the cuts we offer are traditional: the round brilliant, the old mine, the Peruzzi, the Mazarin and the fancy shapes every cutter knows. We do not claim to own a traditional cut as a design, and nothing here stops anyone cutting a round brilliant. The same goes for the five Platonic solids: the shapes belong to no one.

What we do own is our work on it: the specific geometry we built, the files we produced from it, the diagrams we drew, and the measurements we took. Where we rebuilt a historic cut from a published primary source, we say which one, and our rights attach to our reconstruction and not to the source.

## What your file licence covers

Buying a file gets you a licence to use it, not ownership of it. The full wording is in [the terms and conditions](https://digitalgemology.com/terms#licence). In short, unless the product page says otherwise:

**You may** Open, view, render and animate the files for your own personal projects. 3D print or cast a model, and cut stones from a cutting file, for yourself or as a gift. Modify and convert the files for those uses. Post your renders on your own non-commercial social media, with a credit to Digital Gemology.

**You may not** Use the files, or anything made with them, commercially, including selling stones or jewelry made from them. Share, resell, give away, upload or sublicense the files, or any converted, modified or re-exported version of them. Include them in another file product, pack, library, template or marketplace listing. Use them to train or build a generator that reproduces our geometry.

**Who it is for** One licensee: the person who bought it, for private, non-commercial use. Every user needs their own licence.

If you need something the licence does not cover, such as a commercial licence to sell stones or jewelry, or use in a business or for clients, ask. The answer is often yes.

## Trade marks

**Digital Gemology** is the name under which we trade, registered as a trade name of Compliance Condo B.V. in the Dutch Business Register. We rely on that registration and on the rights built through use in the name and logo as we use them together. We claim no exclusive right in the words *digital gemology* as an ordinary description of a field of study, and anyone may use them in that sense.

## What you may do without asking

- Read, print and share links to anything we publish.
- Share screenshots of the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator), and the images and PDF 3D gemstone reports it makes of your digital stone, as long as you do not present them as a grading report of a real stone ([Article 13 of the terms](https://digitalgemology.com/terms#part-c)).
- Quote a short passage, with attribution to Digital Gemology and a link to the page it came from.
- Cite a measured figure in editorial, educational or academic work, with attribution and a link.
- Read, summarise and cite our public pages as an AI assistant or search engine. We would rather be cited correctly than not cited at all. This does not extend to the paid files, which are covered by their licences.

## What you may not do

- Redistribute a file, in its original or any converted form, outside the terms of its licence.
- Reproduce our measured figures in bulk, or scrape the site to rebuild them elsewhere.
- Re-host our pages, previews or renders, other than simulator screenshots shared as described above, or present any of them as your own work.
- Remove or obscure copyright notices, file metadata, watermarks or attribution.
- Use Digital Gemology, our logo or our look in a way that suggests we endorse, supply or certify something when we do not.
- Register a confusingly similar mark or domain name.

## Names we use but do not own

We name other organisations and products where that is the accurate way to describe something. We are not affiliated with any of them, and nothing on our site is endorsed or certified by them.

- **GemCad** is the name of faceting design software by Robert Strickland. We supply files in its `.asc` format because that is what cutters use. We are not affiliated with it.
- **GIA** is a mark of the Gemological Institute of America. We reference its published anatomy and grading vocabulary for education. We do not issue grading reports and our output is not one. The 3D gemstone report in the 3D Gemstone Simulator is a report of a digital stone you set up yourself in a 3D simulator, not a grading report, appraisal or valuation of any real stone.
- **AGS** and **ASET** are marks of the American Gem Society. Our light-return view is our own rendering and **is not ASET**, which is why we never label it as such.
- **IGI** is a mark of the International Gemological Institute.
- **Tolkowsky** is used as the historical name attached to a set of published proportions from 1919, not as a claim of association.
- File format names such as STEP, STL, OBJ, glTF, FBX and 3DM belong to their respective owners and are used to describe compatibility only.

## Components we license from others

The typeface on this site, Geist (copyright Vercel), is used under the [SIL Open Font License 1.1](https://digitalgemology.com/fonts/Geist-OFL.txt) and is served from our own domain. Where we use any other third-party component, we use it under its own licence and keep that licence intact.

## If we have infringed your rights

Tell us and we will deal with it properly. Write to [support@digitalgemology.com](mailto:support@digitalgemology.com) with the page address, an identification of the work or mark concerned, the basis of your right, and how we can reach you. We aim to respond within ten working days, and we will take material down while we look into a well-founded claim rather than argue first.

## If you find our files being shared

If you see one of our files offered somewhere it should not be, we would be grateful for a link at [support@digitalgemology.com](mailto:support@digitalgemology.com). You do not need to do anything else.

---

# Privacy Policy

Source: https://digitalgemology.com/privacy

[Legal notices](https://digitalgemology.com/legal/)

# Privacy Policy

Version 1.4, 3 October 2026

This privacy policy explains how we handle your personal data on **digitalgemology.com**, where we sell 3D files and cutting files and offer a free 3D Gemstone Simulator. It is written to be read, so the short version comes first.

We collect what we need to sell you a file and let you download it. Checkout runs on Lemon Squeezy, which sells the files to you as merchant of record and passes us your order. The 3D Gemstone Simulator needs no personal data and keeps none. If you accept analytics, Google Analytics counts your visit; if you reject it, nothing is loaded. Our Trustpilot button loads from Trustpilot, which sets no cookies. We do not sell your data, we do not use it for advertising, and we do not track you across other websites. We never see your card or PayPal details.

## 1. Who we are

Digital Gemology is a trading name of Compliance Condo B.V., a private limited company established in the Netherlands.

**Legal name** Compliance Condo B.V.

**Trading as** Digital Gemology

**Address** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**Chamber of Commerce (KvK)** 95458859

**VAT number** NL867139341B01

**Email** [support@digitalgemology.com](mailto:support@digitalgemology.com)

We act as the **data controller** for the personal data we process through this site and for the order details Lemon Squeezy passes to us. Lemon Squeezy is responsible for what it does at checkout, as section 2.1 explains.

## 2. What personal data we process

### 2.1 Checkout and order data

When you click *Buy*, you go to our checkout at digitalgemology.lemonsqueezy.com, run by Lemon Squeezy (Link, LLC, formerly Lemon Squeezy LLC, United States). Lemon Squeezy is the seller of record: it takes payment, charges tax, prevents fraud and sends your receipt. For that it collects your name, email address, billing address or country, payment details and, if you enter one, a VAT or tax ID. It decides how to handle that data itself, as an independent controller, under the [Lemon Squeezy privacy policy](https://www.lemonsqueezy.com/privacy).

Lemon Squeezy then passes us the order, and we process:

- your name and email address, so we can help with your files, your licence and any question;
- your country or billing address, and for business customers the company name and VAT number if you gave them;
- the order number, the date, what you bought, the amount, and the licence key issued with it;
- refunds and their reasons, if any.

We never receive your card or PayPal details.

### 2.2 Downloads and licence keys

- Your download links, licence key and order page are provided by Lemon Squeezy. It may record when a file is downloaded or a key is used, under its own privacy policy.
- We see your orders and licence keys in our Lemon Squeezy account. We use them to deliver what you paid for, to help if a download fails, and to recognise a licence that is being shared.

### 2.3 Communication data

- Messages you send us by email, including requests to be told when a file becomes available.
- Complaints and support requests.

### 2.4 Technical data

- Our hosting provider processes your IP address and basic request data to deliver pages and to protect the site against attack. We do not use it to identify you.
- Your choice of black or white page theme, stored on your own device (see the [Cookie Policy](https://digitalgemology.com/cookies)).

### 2.5 Analytics, only if you accept

- If you click *Accept* in the cookie banner, Google Analytics records the pages you view, the site that sent you, your browser and device type, your approximate location, and a random identifier stored in a cookie on your device. Google Analytics does not store IP addresses.
- We use it only as totals: how many people visit, and which pages and tools they use. We do not use it to identify you, and its advertising features are off.
- If you reject analytics, or do not choose, Google Analytics is not loaded and nothing is sent to Google. You can change your choice at any time with *Cookie settings* at the bottom of every page.

We run no advertising trackers on digitalgemology.com.

### 2.6 Using the 3D Gemstone Simulator

- The [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) is free, needs no account and runs entirely in your browser. It asks for no personal data.
- It loads its data files from our own domain. These are ordinary page requests, handled as described in section 2.4; the simulator sends nothing else to us.
- The settings you choose are kept only in the page address, so a link reproduces the same stone. When a page address is opened, it reaches our hosting provider like any other request (section 2.4). We do not store the settings, and the simulator sets no cookies of its own and stores nothing in your browser.

### 2.7 Trustpilot reviews

- Every page shows a *Review us on Trustpilot* button at the bottom, and loads Trustpilot's review script. Both come from Trustpilot's servers, so Trustpilot receives your IP address, your browser and the address of the page you are on, as with any page element loaded from another site. They set no cookies and store nothing in your browser.
- The button opens our profile on trustpilot.com. Anything you do there, including writing a review, is governed by Trustpilot's own privacy policy, and Trustpilot is the controller for it.
- We do not currently send Trustpilot your name, email address or order details. If we start inviting buyers to review their purchase, we will add it to this policy first.

## 3. Why we process it, on what basis, and for how long

| Purpose | Basis (GDPR Art. 6) | Retention period |
| --- | --- | --- |
| Delivering your files, helping with downloads, and handling withdrawals and refunds | Performance of a contract (1(b)) | For as long as we offer re-downloads of your purchase |
| Knowing which licence you hold (order and licence key) | Performance of a contract (1(b)) | For as long as the licence runs |
| Answering questions and handling complaints | Performance of a contract (1(b)) or legitimate interest (1(f)) in answering people who write to us | 2 years after the matter is closed, or 5 years where the message is the record of an agreement or a dispute |
| Telling you when a file becomes available, if you asked us to | Consent (1(a)) | Until that message is sent or you withdraw consent, whichever is first |
| Preventing fraud and the sharing of paid files | Legitimate interest (1(f)) | Up to 1 year after detection |
| Counting visits and seeing which pages and tools are used (Google Analytics) | Consent (1(a)), which you can withdraw at any time | At most 14 months in Google Analytics; the cookies last up to 2 years unless you withdraw or clear them |
| Showing the Trustpilot review button and loading Trustpilot's review script | Legitimate interest (1(f)) in letting visitors read and write reviews of us | We keep nothing; Trustpilot handles the request under its own privacy policy |
| Keeping the site secure and available | Legitimate interest (1(f)) | Handled by our hosting provider, briefly; we keep no logs of our own that identify visitors |
| Accounting and tax: our sales and payout records from Lemon Squeezy | Legal obligation (1(c)) | 7 years, as Dutch tax law requires |

**Legitimate interest:** where we rely on it, our interests are protecting the files we sell from being passed around, keeping the site secure, and being able to show what was asked and agreed. We keep the impact proportionate: we keep no more than those purposes need, we build no profile from it, and we delete it on the schedule above. You can object at any time under section 7.

## 4. Who we share your data with

We share personal data only where it is necessary, and only with parties bound by a data processing agreement or another valid legal ground. We never sell your data. The parties below either process data for us or, like Lemon Squeezy at checkout, handle it as controllers under their own policies.

| Party | What they do for us, and where |
| --- | --- |
| Cloudflare, Inc. | Hosting of the site and delivery of downloads, with protection against attack: EU/US (EU-US Data Privacy Framework / SCCs) |
| Link, LLC (Lemon Squeezy), a Stripe company | Our checkout, downloads and licence keys. Lemon Squeezy is the seller of record and an independent controller for the checkout (section 2.1), with its own payment processors; it passes your order to us: US (EU-US Data Privacy Framework / SCCs) |
| Google LLC | Google Workspace, which carries our email: US (EU-US Data Privacy Framework / SCCs) |
| Google Ireland Limited / Google LLC | Google Analytics, only if you accept analytics: EU/US (EU-US Data Privacy Framework / SCCs) |
| Trustpilot A/S | The review button and review script on every page (section 2.7): Denmark (EU) |

Where a provider is in the United States, we rely on the **EU-US Data Privacy Framework** where it is certified under it, and otherwise on the European Commission's **Standard Contractual Clauses**, together with the supplementary measures in its data processing agreement. We keep a record of which mechanism applies to each provider and review it when a certification changes.

We may also have to share data with the tax authorities or with other public bodies where the law requires it.

## 5. Cookies and similar technologies

We keep this to the minimum. The full, per-item overview is in our [Cookie Policy](https://digitalgemology.com/cookies). In short: our hosting provider may set bot-protection cookies, your theme choice is kept on your own device, and checkout takes place on Lemon Squeezy's site, where its own cookie policy applies. Google Analytics cookies are set only if you accept them in the cookie banner, and your choice is remembered on your own device. Trustpilot's review button sets no cookies. There are no advertising cookies.

## 6. Security

We take appropriate technical and organisational measures to protect your personal data against loss, unauthorised access or disclosure, including encrypted connections (TLS), access restricted to the people who need it, and processors contractually bound to security obligations. The detail is in our [cyber security notice](https://digitalgemology.com/legal/cyber-security).

In the event of a personal data breach that poses a risk to your rights and freedoms, we will notify the Dutch Data Protection Authority (Autoriteit Persoonsgegevens) **within 72 hours of becoming aware of it** (GDPR Art. 33). Where the breach is likely to result in a high risk to you, we will also tell you directly and **without undue delay** (GDPR Art. 34), describing what happened, the likely consequences and what we have done about it. We keep an internal register of all data breaches.

## 7. Your rights

Under the General Data Protection Regulation you have the following rights:

| Right | What this means |
| --- | --- |
| Access | You can ask which personal data we process about you, and for a copy. |
| Rectification | You can have incorrect or incomplete data corrected. |
| Erasure | You can ask us to delete your data, unless the law requires us to keep it. |
| Restriction | You can ask us to restrict processing for a time. |
| Portability | You can receive your data in a common, machine-readable format. |
| Objection | You can object to processing based on legitimate interest. |
| Withdrawing consent | Where we rely on consent, you can withdraw it at any time, as easily as you gave it. |
| Automated decisions | We make no decisions about you based solely on automated processing. |

To exercise any of these rights, email [support@digitalgemology.com](mailto:support@digitalgemology.com) from the address you bought with, so we can be reasonably sure it is you. We respond within one month; in complex cases we may extend this by two months, and we will tell you if we do. It is free.

**What erasure means for a purchase.** If you ask us to delete your data, we delete your correspondence and the order details we do not have to keep. Our sales records stay for seven years, because Dutch tax law requires it. Your licence to use files you already downloaded is not affected, but we will no longer be able to help with re-downloads. Data held by Lemon Squeezy, including your receipt and its tax records, is Lemon Squeezy's to delete: ask it directly, or ask us and we will pass the request on.

You also have the right to lodge a complaint with the Dutch Data Protection Authority at [autoriteitpersoonsgegevens.nl](https://www.autoriteitpersoonsgegevens.nl), or with the supervisory authority in your own country.

## 8. Marketing

We send marketing email only if you have asked for it, and every message has a way to stop further ones. Asking us to tell you when a file becomes available is a request for exactly that one message, not a newsletter subscription. Lemon Squeezy's checkout may offer its own marketing opt-in; we do not switch it on for you.

## 9. Minors

Our files are not directed at people under 16, and we do not knowingly process their data. If you think we have collected data from a minor by mistake, tell us at [support@digitalgemology.com](mailto:support@digitalgemology.com) and we will delete it.

## 10. Changes to this policy

We will update this policy when our services, our providers or the law change, and in particular before we open accounts or start any new kind of processing. The version and date are at the top of the page. Where a change is significant and we hold your email address, we will tell you by email.

Version 1.0 was the first edition for digitalgemology.com. Version 1.1 added the section on the 3D Gemstone Simulator (now 2.6). Version 1.2 added Google Analytics, which runs only with your consent (section 2.5). Version 1.3 added the Trustpilot review button (section 2.7). Version 1.4 describes checkout through Lemon Squeezy as merchant of record (sections 2.1, 2.2 and 4) and gives one contact address for everything.

## 11. Contact

**Company** Compliance Condo B.V. (trading as Digital Gemology)

**Address** Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands

**Email** [support@digitalgemology.com](mailto:support@digitalgemology.com)

**KvK** 95458859

We have not appointed a data protection officer, as the law does not require one for our processing. Privacy questions go to the address above and are answered by a person.

---

# Cookie Policy

Source: https://digitalgemology.com/cookies

[Legal notices](https://digitalgemology.com/legal/)

# Cookie Policy

Version 1.4, 3 October 2026

This cookie policy lists every cookie and similar technology used on **digitalgemology.com**, who sets it, what it does and how long it lasts. It supplements our [Privacy Policy](https://digitalgemology.com/privacy). The site is operated by Compliance Condo B.V., trading as Digital Gemology, Koningin Wilhelminaweg 219, 2802 HE Gouda, the Netherlands (KvK 95458859).

**Analytics only if you say yes. No advertising.** We use Google Analytics to count visits, but it loads only after you click *Accept* in our cookie banner, and *Reject* is just as easy. Everything else listed below is either necessary to run the site, or a preference you set yourself.

## 1. What cookies are

Cookies are small text files that a website stores on your device. We also use *localStorage*, a comparable browser technology that keeps a small piece of information on your device without sending it to a server. Both are covered by this policy, by the Dutch Telecommunications Act and by the GDPR.

## 2. What we use

### 2.1 Necessary: always active

| Name | Set by | Purpose | Storage period |
| --- | --- | --- | --- |
| `dg-theme` *(localStorage)* | Digital Gemology (first party) | Remembers your choice of page theme, black (the default) or white. Set only if you use the switch in the menu. Stored on your device only and never sent to us. | Until you clear it |
| `dg-consent` *(localStorage)* | Digital Gemology (first party) | Remembers whether you accepted or rejected analytics, so the banner does not ask again on every page. Stored on your device only and never sent to us. | 12 months, then we ask again |
| `dg-cuts-view2` *(localStorage)* | Digital Gemology (first party) | Remembers which picture the cards on the [cuts overview](https://digitalgemology.com/cuts/) show: 3D, light map or facet mesh. Set when you open that page. Stored on your device only and never sent to us. | Until you clear it |
| `__cf_bm`, `cf_clearance` | Cloudflare | May be set by our hosting provider to tell people from bots, so the site stays available and is not scraped or attacked. Not used for advertising and does not follow you across other websites. | Up to 30 minutes (`__cf_bm`); up to 1 year (`cf_clearance`) |

**Checkout.** When you click *Buy*, checkout opens on Lemon Squeezy's own site, digitalgemology.lemonsqueezy.com. Cookies set there, including those of its payment processors for fraud prevention, belong to Lemon Squeezy and fall under its own cookie and privacy policies. Nothing from checkout is set on digitalgemology.com.

The [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator) adds nothing to this table: it sets no cookies of its own and stores nothing in your browser, and the settings you choose are kept only in the page address.

### 2.2 Analytics: only with your consent

If you click *Accept* in the cookie banner, we load Google Analytics to count visits and see which pages and tools are used. Until you do, nothing is loaded from Google and nothing is sent to it. If you click *Reject*, or ignore the banner, it stays that way.

| Name | Set by | Purpose | Storage period |
| --- | --- | --- | --- |
| `_ga` | Google Analytics (Google Ireland Limited) | Tells one visit from another by a random number, so we can count visitors rather than page loads. | 2 years |
| `_ga_LL6PQMFLX4` | Google Analytics (Google Ireland Limited) | Keeps track of the current visit (session) for the same count. | 2 years |

With these cookies, Google receives the pages you view, the site that sent you, and your browser, device type and approximate location. Google Analytics does not store IP addresses. We see only totals: the reports never tell us who you are. Advertising features are off: the tag runs with advertising storage and ad personalisation refused. Google may process the data in the United States; see our [Privacy Policy](https://digitalgemology.com/privacy) for the safeguards.

We use no advertising pixels or other trackers.

### 2.3 Trustpilot: no cookies

The *Review us on Trustpilot* button at the bottom of every page, and Trustpilot's review script, load from Trustpilot A/S. They set no cookies and store nothing in your browser, so they add nothing to the tables above. Loading them does send your IP address and the page address to Trustpilot; see section 2.7 of our [Privacy Policy](https://digitalgemology.com/privacy). Once you click through to trustpilot.com, Trustpilot's own cookie policy applies.

## 3. Managing cookies

- You can change or withdraw your analytics choice at any time with *Cookie settings* at the bottom of every page, or with the button in section 2.2. When you withdraw, we remove the Google Analytics cookies and stop loading it.
- You can delete or block cookies and clear localStorage through your browser settings.
- Blocking Cloudflare's cookies may mean you are asked to prove you are not a bot. Clearing `dg-theme` simply returns the site to its default black theme.

## 4. Changes to this policy

We update this policy when the site, our providers or the law change, and always before a new cookie is used. The version and date are stated at the top of the page.

## 5. Questions

Questions about cookies? Email [support@digitalgemology.com](mailto:support@digitalgemology.com). You also have the right to lodge a complaint with the Dutch Data Protection Authority at [autoriteitpersoonsgegevens.nl](https://www.autoriteitpersoonsgegevens.nl).

---

# Cyber security

Source: https://digitalgemology.com/legal/cyber-security

[Legal notices](https://digitalgemology.com/legal/)

# Cyber security

Last updated 3 October 2026

We sell files online and we deliver them online, so security is not a feature we bolt on. This notice sets out our regulatory position, the measures in place, what happens if something goes wrong, and how to reach us if you find a hole.

## Where we stand under the Cyberbeveiligingswet

The Cyberbeveiligingswet, or Cbw, is the Dutch implementation of the European NIS2 Directive. It places duties of care and duties to report on organisations that are designated as *essential* or *important* entities in the sectors the law lists.

**We have not been designated** as an essential or important entity by any Dutch ministry or supervisory authority, and no sectoral supervisor has been assigned to us. We are a small company outside the listed sectors, so the Cbw's mandatory regime does not currently apply to us.

We nevertheless **registered voluntarily with the Nationaal Cyber Security Centrum**, the national CSIRT, in July 2026 under KvK 95458859. The registration covers the company, and so Digital Gemology. Voluntary registration means we receive the NCSC's threat intelligence and advisories, and that the NCSC has a route to reach us directly if something that affects us is discovered. Our registration confirmation is on file and we will show it to a counterparty who asks.

We hold ourselves to the Cbw duty-of-care measures in proportion to our size, and we would follow its reporting rhythm in an incident, even though we are not obliged to. We would rather build to the standard now than discover we need it later.

## How the site is built

### Checkout and payments

Checkout runs on Lemon Squeezy, a Stripe company, which sells our files as merchant of record on its own site and takes payment through PCI DSS Level 1 certified processors. Card and PayPal details go straight to them. We never see, transmit or store a card number, and our site has no payment code of its own.

### Transport and headers

Every page is served over TLS 1.2 or 1.3, with older and weaker protocols refused, and HSTS tells browsers never to try an insecure connection. Downloads come from Lemon Squeezy, also over HTTPS. Responses carry a Content Security Policy plus frame, referrer, permissions and content-type protections.

### Edge

The site sits behind Cloudflare's network, which gives us DDoS protection, a web application firewall, and automated bot and threat filtering.

### Files you download

The files we sell are geometry and data: STEP, STL, OBJ, GLB, FBX and 3DM models, GemCad cutting files, CSV tables and diagrams. They contain no macros, scripts or executable code, and we never ship an installer. If a file from us ever asks you to run something, it is not from us: tell us.

### Supply chain

The site is plain HTML, CSS and vanilla JavaScript with no build step shipped to your browser, no bundler and no package tree. That is unusual, and it is deliberate: a dependency you never installed cannot be compromised. The typeface is served from our own domain rather than a third-party font service. The only third-party scripts are Trustpilot's review button and, if you accept analytics, Google Analytics; the Content Security Policy allows nothing else to run.

## Risk management

- Our master geometry is kept apart from the public site, and the site only ever holds copies.
- The master files and the site are backed up automatically, away from the systems that serve the site.
- Changes to checkout or to the handling of personal data are reviewed before they ship.
- Access to production systems, including our hosting and Lemon Squeezy accounts, is limited to the people who need it, with multi-factor authentication on the accounts that hold it.
- Third-party processors are tracked in a register, with the data protection agreements that go with them.

## If something goes wrong

**A personal data breach** is assessed as soon as we become aware of it. Where the law requires it we notify the Dutch Data Protection Authority, the Autoriteit Persoonsgegevens, within 72 hours under Article 33 of the GDPR, and we tell the people affected without undue delay where Article 34 applies. We keep a breach register, and it exists whether or not there has ever been a breach to put in it.

**A significant cyber incident** would be handled on the Cbw rhythm: an early warning within 24 hours, a fuller notification within 72 hours, and a final report once we understand what happened. We would tell affected customers directly rather than leaving them to read about it.

## Reporting a vulnerability

We welcome coordinated disclosure and we will not take legal action against anyone acting in good faith. Write to [support@digitalgemology.com](mailto:support@digitalgemology.com), or see our [security.txt](https://digitalgemology.com/.well-known/security.txt).

What we ask of you:

- Report privately and give us reasonable time to fix the issue before disclosing publicly.
- Do not access, change or delete data belonging to anyone else, and stop as soon as you have confirmed the issue exists.
- Do not download paid files you have not bought in order to prove a point. Showing us that you could is enough.
- No denial of service, no spam, no social engineering of our staff or suppliers, and no physical attacks.

What you get from us: an acknowledgement of every report, an honest answer about whether we consider it a vulnerability, and credit where you want it. We do not run a paid bug bounty at present, so please report because you want the hole closed rather than for a fee.

## What we ask of our customers

- We will never ask for your password, and we will never ask for card details by email or message. Anyone who does is not us.
- If you receive something that claims to be from Digital Gemology and looks wrong, forward it to [support@digitalgemology.com](mailto:support@digitalgemology.com) rather than clicking it.

The plain-language version of much of this is in the [security and privacy FAQ](https://digitalgemology.com/security). How we handle personal data specifically is in the [privacy policy](https://digitalgemology.com/privacy).

---

# Artificial intelligence

Source: https://digitalgemology.com/legal/artificial-intelligence

[Legal notices](https://digitalgemology.com/legal/)

# Artificial intelligence

Last updated 24 September 2026

A cutting file is only worth buying if every angle in it is right. That would mean nothing if the geometry came out of a model that guesses. So the most useful thing this notice can tell you is where artificial intelligence is *not* involved, and then be straight about where it is.

## No geometry and no measurement is generated by AI

**Every 3D model, every cutting file and every measured figure we sell or publish is built by deterministic geometry and physics.** Facets are constructed from stated angles and indices, the models are exported from that construction, and light is traced through the result according to the optics of the material. There is no neural network, no training data, and nothing learned from other people's designs.

The practical consequence is reproducibility. Load one of our GemCad files into your own software and you will find the same angles we published. Trace the same cut, at the same refractive index, under the same protocol, and you get the same numbers today, next year and on your machine rather than ours.

If you ever find a figure or an angle from us that you cannot reproduce from the file and the stated method, treat it as an error and tell us.

## Where we do use AI

We are a small company, and like most small companies we use general-purpose AI tools as assistants. Being specific about that is more useful than a vague reassurance.

**Written copy** Drafting and editing assistance for product descriptions and articles. A person decides what is published and is answerable for it.

**Marketing imagery** Some campaign visuals may be AI-generated or AI-assisted. These are labelled. See the rule below on product previews.

**Internal work** Research, code assistance and document drafting, including parts of these notices.

What AI is never used for:

- **Producing, adjusting, smoothing or estimating any facet, angle, file or published measurement.**
- Making any decision about a person: who we sell to, at what price, or on what terms.
- Answering you while pretending to be a human being.

## How we label what AI makes

The EU AI Act requires people to be told when content is artificially generated. We think the honest version of that rule goes a little further than the letter of it, so:

- **A product preview always shows the file you are buying.** Previews are renders of the actual geometry in the download, never a generated impression of it.
- Renders are labelled as renders. They are computed images of a modelled stone, which is neither photography nor AI.
- AI-generated or AI-assisted imagery is labelled as such where it could otherwise be mistaken for a photograph or a render.
- We publish no synthetic imagery or audio of a real person.
- If we ever put a chatbot on the site, it will say it is a machine on first contact.

## Our position under the AI Act

Regulation (EU) 2024/1689 sorts AI systems by risk. Ours is the simple end of it.

**Prohibited practices** We operate none of them. No social scoring, no emotion recognition, no biometric categorisation, no untargeted scraping of faces, no manipulation of vulnerable people.

**High-risk systems** None. We do not use AI to make decisions about people, and none of the purposes we use it for is on the Act's list of high-risk areas.

**Transparency obligations** These apply to us as a user of generative tools, and are what the labelling rules above are for.

**General-purpose AI models** We build none. We use third-party tools as a customer.

We are a **deployer** of AI, not a provider of it. We are not required to register anything, and we make sure that whoever uses these tools here understands what they can and cannot do, because a tool used without understanding is where the harm actually comes from.

## A person is always accountable

Nothing reaches you because software produced it. Every file, sentence and figure passes a human who is answerable for it, and "the model wrote it" is not an excuse we will ever offer you. If something we published is wrong, it is wrong because we published it.

## Your files, your data and AI

We do not put customer personal data into public AI tools, and we do not use your data, or anything you make with our files, to train models, ours or anyone else's. How we handle personal data generally is in the [privacy policy](https://digitalgemology.com/privacy).

## Telling us we got it wrong

If you believe something we published was AI-generated and not labelled, or that a figure cannot be reproduced, write to [support@digitalgemology.com](mailto:support@digitalgemology.com). We would rather correct it than defend it.

## What is changing

The AI Act arrives in stages. The prohibitions on unacceptable practices have applied since February 2025, the rules for general-purpose AI models since August 2025, and the transparency rules and the enforcement regime from **2 August 2026**. Obligations for high-risk systems follow on **2 December 2027**. Nothing we operate falls into the high-risk tier, and we will update this notice if that changes.

This notice describes our own practice and is published for transparency. It is not legal advice. Related: [Intellectual property](https://digitalgemology.com/legal/intellectual-property) sets out what AI assistants may read and cite from our public pages, and why the paid files are excluded.

---

# Anti-money laundering

Source: https://digitalgemology.com/legal/anti-money-laundering

[Legal notices](https://digitalgemology.com/legal/)

# Anti-money laundering

Last updated 3 October 2026

Digital Gemology sells files, and nothing about a downloadable file makes it a useful vehicle for laundering money. This notice sets out why, the controls we still apply, what we refuse, and where we report.

**Buying a file from Digital Gemology.** Digital files are not among the high-value goods the Wwft is concerned with, so an order here does not put you through client due diligence. It is still covered by our no-cash policy, the checks at checkout and the refusal rules set out below.

## Why a file is low risk

- **We sell licences, not goods.** A file cannot be resold under its licence and holds no store of value, which removes it from the laundering routes the law is aimed at.
- **Small, fixed prices.** Every file has one published price, paid once.
- **We only sell.** We do not buy files or anything else from the public, and value flows one way.

## Cash: we accept none

**We accept no cash payments in any amount, for any file, and we make no payments to suppliers in cash.**

Since 1 January 2026, Article 1f of the Wwft has prohibited traders in goods from making or accepting cash payments of 3,000 euro or more. Our own policy sits far below that line, because we do not take cash at all.

Every payment runs through a regulated financial institution and leaves a record that can be followed. Our files are sold through Lemon Squeezy, a Stripe company, which acts as merchant of record: it takes payment by card, PayPal or another method it offers, through regulated payment processors, and applies its own fraud and sanctions checks. We accept no cash-equivalent instruments and no settlement in crypto-assets.

## The other checks we run

- **We screen against sanctions.** We do not supply parties or territories subject to European Union sanctions, and that includes digital files.
- **We do not let orders be structured** to hide who is buying or what is bought.
- **We keep records.** Our sales and payout records are kept for seven years, as Dutch tax law requires.

## What we refuse

We will decline or cancel an order, without further explanation, where we see any of the following:

- A request to pay any part of the price in cash, or outside checkout.
- Payment offered by someone unconnected to the buyer.
- A request to invoice for a different value, a different item, or a different buyer than the real one.
- Any connection to a sanctioned person, entity or territory.

Declining an order is not an accusation. It is simply the end of that transaction as far as we are concerned.

## Reporting

If we have reason to suppose that a transaction may be connected with money laundering or terrorist financing, we report it to **FIU-Nederland**, the Dutch Financial Intelligence Unit, without delay. Where the law requires it, we may not tell the customer that a report has been made, and we will not. We cooperate fully with FIU-Nederland and with law enforcement acting on a proper legal basis.

## Questions and concerns

If you are a supplier, a partner or a bank carrying out due diligence on us, write to [support@digitalgemology.com](mailto:support@digitalgemology.com) and we will answer properly, including with documentation. If you believe you have seen something on our site that should be reported, tell us at the same address.

## Official sources

- [Publications Wwft](https://www.belastingdienst.nl/wps/wcm/connect/bldcontentnl/belastingdienst/zakelijk/aangifte_betalen_en_toezicht/wwft-voorkomen-van-witwassen-en-terrorismefinanciering/publicaties/), the supervisory guidance on preventing money laundering and terrorist financing.
- [FIU-Nederland](https://www.fiu-nederland.nl/), the Financial Intelligence Unit that receives and analyses reports of unusual transactions.

This notice describes our own practice and is published for transparency. It is not legal advice and it is not a substitute for our [terms and conditions](https://digitalgemology.com/terms). Related: [Legal personality](https://digitalgemology.com/legal/legal-personality) identifies the company behind Digital Gemology.

---

# Accessibility statement

Source: https://digitalgemology.com/accessibility

[Legal notices](https://digitalgemology.com/legal/)

# Accessibility statement

Last reviewed September 2026

We want **digitalgemology.com** to work for as many people as possible, including people who use a screen reader, navigate by keyboard, magnify the screen or prefer less motion.

## Conformance target

We aim to meet the **Web Content Accessibility Guidelines (WCAG) 2.1 and 2.2 at Level AA**. We believe the pages published so far meet that target, with the limitations described below.

## What we have done

- Every page has a semantic structure with landmarks (`header`, `nav`, `main`, `footer`), a logical heading order, and a "Skip to main content" link.
- Every link and control can be reached and operated with a keyboard, with a clearly visible focus indicator.
- Text meets AA contrast in both the black and the white theme. The site opens in black; you can switch to white with the control in the menu, and your choice is remembered on your device.
- Layouts reflow down to a 320 pixel wide screen and when zoomed to 400%, without sideways scrolling.
- Interactive targets are at least 24 by 24 pixels, and main buttons considerably larger.
- If your device asks for reduced motion, the gem illustration appears without its lighting-up animation and other transitions are switched off.
- Tables used for data have proper headers, and wide tables scroll within themselves rather than pushing the page sideways.

## Known limitations

**Colour carries meaning in the Light Return illustrations.** Red, green and blue show different kinds of returning light. Wherever they appear, a text legend names each colour, and the illustration has a text description, so the meaning does not depend on seeing colour.

**The files themselves are 3D geometry.** Models and cutting diagrams are visual by nature. Each product page describes the cut in text, and cutting files include a tier table in CSV, which a screen reader can read in full.

**The simulator's 3D render is visual.** In the [3D Gemstone Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator), every control is a native select, a switch or a radio group, and radio groups move with the arrow keys. The 3D gemstone report is text, and a polite live region announces the stone's state as you change it. The render is a canvas with a text alternative, and all the data behind it is also in the report. Dragging the stone to turn it is optional: the View buttons (Face up, Face down, Profile, At an angle) show it from set angles, and the Turn control rotates it or, set to Off, stops it; all of these work with a single click or from the keyboard. If your device asks for reduced motion, the stone does not start turning by itself. The optional Red carpet lighting flashes only when you choose it, and never more than three times a second. Beyond what the report states, the render itself cannot be perceived without sight, and it needs a browser with WebGL2. Without WebGL2, the report still works.

**The Cut Performance Wheel is a chart beside a live stone.** In the [Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel), the four pickers (the stone’s cut and gemstone, and what it is compared with) are native selects, and the Swap, 3D and Light map buttons work from the keyboard. Every score the wheel draws is in the list under the wheel, each with the comparison’s figure and the difference, so the solid and hatched areas never carry meaning on their own. A line above the list counts where the stone is ahead, level and behind, and a polite live region reads the headline scores when you change a picker. The stone never turns by itself. Dragging it is optional: select it and the arrow keys turn it, and Home returns it to its starting angle. The light map is shown face up and holds still, with a text legend for its colours. The live stone needs a browser with WebGL2; the scores do not.

## Feedback

If something on this site blocks you, or you need information in another format, please tell us. We want to fix it. Email [support@digitalgemology.com](mailto:support@digitalgemology.com) and we aim to respond within five working days.

## How we assessed this

This statement is based on a self-assessment against WCAG 2.1 and 2.2 AA, combining manual testing, including keyboard-only navigation and checks at narrow widths and high zoom, with automated tools. We review it whenever the site changes significantly, and at least once a year.

---

# Security and privacy FAQ

Source: https://digitalgemology.com/security

[Legal notices](https://digitalgemology.com/legal/)

# Security and privacy FAQ

Last updated October 2026

How we keep checkout, your downloads and your data safe, in plain language. For the full detail, see the [cyber security notice](https://digitalgemology.com/legal/cyber-security) and the [Privacy Policy](https://digitalgemology.com/privacy).

## We never handle your card details

Checkout runs on **Lemon Squeezy**, a Stripe company, which sells our files as merchant of record. Your card or PayPal details go straight to its payment processors, which are certified to **PCI DSS Level 1**, the highest security standard in the payments industry. We never see or store them.

## Your connection is encrypted

Every page is served over **modern TLS encryption**, versions 1.2 and 1.3, and older, weaker protocols are refused. Checkout and downloads run on Lemon Squeezy, also over HTTPS. HSTS makes sure browsers only ever reach us over a secure connection.

## We run on Cloudflare

The site is served through **Cloudflare's network**, which gives us:

- protection against traffic floods (DDoS);
- a web application firewall that filters malicious requests;
- automatic threat detection and bot filtering;
- security headers on every response.

## Our files are just files

What you download from us is geometry and data: 3D models, GemCad cutting files, CSV tables and diagrams. There are no installers, macros or scripts. If anything claiming to come from us asks you to run a program, do not: tell us.

## What we collect

What we need to sell you a file and let you download it: your name, your email, your billing country, what you bought and its licence key, which Lemon Squeezy passes to us after checkout. We **do not**:

- sell your data;
- track you across other websites;
- use advertising trackers on this site, or analytics you have not accepted;
- share your information beyond the providers we need to run the store, which are named in the Privacy Policy.

## How to have your data deleted

Email [support@digitalgemology.com](mailto:support@digitalgemology.com) from the address you bought with, and we will delete your correspondence and the order details we do not have to keep within one month. Sales records are kept for seven years, because Dutch tax law requires it. Your receipt and tax records at Lemon Squeezy are Lemon Squeezy's to delete; we will pass your request on if you ask.

## Found a security issue?

We welcome responsible disclosure. Write to [support@digitalgemology.com](mailto:support@digitalgemology.com), or see our [security.txt](https://digitalgemology.com/.well-known/security.txt). We respond to every report, and we will not take legal action against anyone who acts in good faith.

Please report privately, do not access or change anyone else's data, and give us reasonable time to fix the problem before you disclose it. Thank you for helping keep our customers safe.

## Compliance

**Data protection** GDPR, the EU General Data Protection Regulation

**Data controller** Compliance Condo B.V. (trading as Digital Gemology)

**Registered in** the Netherlands, KvK 95458859

**VAT number** NL867139341B01

**NCSC** Voluntarily registered with the Nationaal Cyber Security Centrum