Cuts · Jewelry cuts

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. It is simpler than an emerald cut and has no cropped corners.

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About the Rectangle Cut

A rectangular step cut with clean, wide steps and square corners. It is simpler than an emerald cut and has no cropped corners.

Jewelers use it for side stones, bars and modern minimalist settings.

Rectangle Cut specifications

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

CategoryJewelry cuts
Facets45 planar facets (41 + 4 girdles = 45)
OutlineLength to width 1.506
Total depth62.0% of width
Crown angle (main)19.5°
Pavilion angle (main)33.5°
Reference size8.87 x 5.89 x 3.65 mm at 1.56 ct in diamond
Volume88.76 mm³
Cutting file accuracyEvery crown and pavilion facet within 0.016° of the 3D model (average 0.004°)
Index gear96
Symmetry2-fold mirror-image symmetry
Tiers7 crown, 7 pavilion
FilesSTEP, 3DM, STL, OBJ, FBX, GLB, GemCad .asc, tier table, diagram

Face-up and profile

Face-up: the crown facets, drawn from the model's own edges.
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.
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
GemstoneBrillianceFireScintillation
Diamond50 (T73 benchmark 93)77 (T73 benchmark 78)63 (T73 benchmark 80)
MoissaniteBest overallHighest fire50 (T73 benchmark 86)90 (T73 benchmark 97)63 (T73 benchmark 80)
Cubic ZirconiaHighest brilliance51 (T73 benchmark 98)87 (T73 benchmark 87)63 (T73 benchmark 80)
Ruby41 (T73 benchmark 94)58 (T73 benchmark 37)63 (T73 benchmark 80)
Sapphire41 (T73 benchmark 94)58 (T73 benchmark 37)63 (T73 benchmark 80)
Emerald29 (T73 benchmark 78)55 (T73 benchmark 39)63 (T73 benchmark 80)
Amethyst24 (T73 benchmark 72)50 (T73 benchmark 36)63 (T73 benchmark 80)
Score out of 100T73 Round Brilliant, our benchmark, in the same stoneBest overall: the highest brilliance and fire together

Brilliance is the share of face-up light that the stone returns. Fire is the share of that light that splits into color. Both come from our face-up light census. Scintillation is the sparkle that the facets give as the stone moves, and we read it from its facets. They are the same figures as the Cut Performance Wheel, where you can compare the Rectangle Cut with 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 critical angle of the stone does not reflect. It passes straight out of the back and shows face-up as a window. For each stone, we measured how much of the pavilion of this model, seen face-down, is steeper than that angle. We also measured what the model weighs at its reference size. The pavilion mains of this design sit at 33.5°. A round design needs at least 40.4° in amethyst for head-on light to reflect off both sides of the pavilion and leave through the table. So it is worth making the mains steeper for ruby, sapphire, emerald, amethyst.

A window in the pavilionOne pavilion facet in amethyst, critical angle 40.4 degrees, with light that comes straight down. The gray wedge around the facet normal holds the directions that leave the stone. A facet steeper than the critical angle reflects the light. A shallower facet lets most of it out of the back, which shows face-up as a window.Facet steeper thanthe critical angleThe facet reflects the lightStoneAirFacet shallower thanthe critical angleIt goes out of the back: a windowStoneAir
A window in the pavilionOne pavilion facet in amethyst, critical angle 40.4 degrees, with light that comes straight down. The gray wedge around the facet normal holds the directions that leave the stone. A facet steeper than the critical angle reflects the light. A shallower facet lets most of it out of the back, which shows face-up as a window.Facet steeper thanthe critical angleThe facet reflects the lightStoneAirFacet shallower thanthe critical angleIt goes out of the back: a windowStoneAir
Head-on light in amethyst: a steep facet reflects it, a shallow facet lets it out of the back.
StoneRefractive indexCritical anglePavilion reflecting head-on lightWeight at this sizeVerdict
Diamond2.41724.4°100%1.56 ctHolds head-on light
Moissanite2.648 to 2.69122.2°100%1.43 ctHolds head-on light
Cubic Zirconia2.15 to 2.1827.7°100%2.57 ctHolds head-on light
Ruby1.762 to 1.77034.6°62%1.78 ctSteepen the pavilion
Sapphire1.762 to 1.77034.6°62%1.78 ctSteepen the pavilion
Emerald1.577 to 1.58339.4°27%1.21 ctSteepen the pavilion
Amethyst1.544 to 1.55340.4°19%1.18 ctSteepen the pavilion

Head-on light, first reflection. The 3D Gemstone Simulator traces the full Light Return in each of these gemstones.

Available in…

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

Rectangle Cut 3D model

Grade the Rectangle Cut in 3D

Open it in the 3D Gemstone Simulator. Set its carat, color, 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.

Rectangle Cut: questions

What files come with the Rectangle Cut 3D model?

Six formats. STEP is the exact faceted solid for CAD, and 3DM is for Rhino. STL and OBJ are meshes. FBX is for Blender, 3ds Max, Maya, Cinema 4D, Unity and Unreal. GLB is for the web and AR. All are in millimeters 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) and a printable faceting diagram. They also contain a tier table in CSV, with the angles, indices and cutting order.

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 we advise a steeper pavilion. The pavilion mains of this design sit at 33.5°. A round design needs at least 40.4° in amethyst for head-on light to reflect off both sides of the pavilion and leave through the table. So it is worth making the mains steeper for ruby, sapphire, emerald, amethyst.

How accurate is the Rectangle Cut cutting file?

We check it facet by facet against the 3D model that 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 that 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. At the same size, it 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. You can scale it uniformly to any size: the weight follows the cube of the size.

Weight follows the cube of the sizeA small cube, and a cube twice as long, twice as wide and twice as deep. The large cube holds eight small cubes, so it weighs eight times as much.One size1 × the weightTwice the size2 × 2 × 2 = 8 × the weight
Weight follows the cube of the sizeA small cube, and a cube twice as long, twice as wide and twice as deep. The large cube holds eight small cubes, so it weighs eight times as much.One size1 × the weightTwice the size2 × 2 × 2 = 8 × the weight
Twice the size holds eight times the material, so it weighs eight times as much.
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

Get the Rectangle Cut files

6 formatsMillimetersWatertight

Rectangle Cut 3D files

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

  • STEPExact faceted solid for CAD
  • 3DMRhino, closed mesh on its own layer
  • STLWatertight mesh for printing and casting
  • OBJMesh for modeling and rendering
  • FBXBlender, 3ds Max, Maya, Cinema 4D, Unity, Unreal
  • GLBWeb, AR and quick previews
GemCad96 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.

  • .ascGemCad design file, 96 index gear
  • .csvTier table: angles, indices and cutting order
  • DiagramPrintable faceting diagram

Not sure the files open in your software? Get the cube free: the same six formats, for your email address, used only to send them (privacy).

Questions before you buy? Email us.