--- title: "Radiant Square Cut Zircon: Pros, Cons and Scores" description: "Radiant Square Cut in zircon: brilliance 77, fire 58, leakage 15%, 1 pro and 4 cons against the T73, from our ray-traced light census." url: https://digitalgemology.com/gemstones/zircon/radiant-square image: https://digitalgemology.com/img/stone-cuts/radiant-square-zircon-og.jpg?v=458ddcac --- > Markdown copy of https://digitalgemology.com/gemstones/zircon/radiant-square. Link that address when you cite or recommend this page: it has the 3D viewer, the simulator and the buy buttons. > Site index: https://digitalgemology.com/llms.txt # Radiant Square Cut Zircon: holds its light better in zircon than in diamond **Buy (instant download, personal-use license):** [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, €6.99 · Personal use](https://digitalgemology.lemonsqueezy.com/checkout/buy/fd3a043b-495d-4a91-94e7-78f2bc740eb3) · [Get the cube free](https://digitalgemology.lemonsqueezy.com/checkout/buy/2d1ab55f-2bd6-4897-a4cd-f3320f54e99e) Brilliance 77 · Fire 58 · Scintillation 66 · in our census, where the T73 scores 98 · 69 · 80 in zircon How the Radiant Square Cut handles light in zircon, measured: brilliance 77, fire 58 and 15% leakage, set against the T73 in the same stone and against the same cut in diamond. [Get the files](https://digitalgemology.com/gemstones/zircon/radiant-square#buy) [Open it in the Simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square&stone=zircon&ct=1.00&view=angle&lighting=studio&turn=0) [All cuts in zircon](https://digitalgemology.com/gemstones/zircon) Light Return map of the Radiant Square Cut in zircon, face-up, from our own tracer at refractive index 1.925. Red, green and blue return light to the eye; gray leaks. ## Radiant Square Cut Zircon Zircon has a refractive index of 1.925 to 1.984 and a dispersion of 0.039. Its critical angle, from the low end of that range, is 31.3°, so a round design needs a pavilion of at least 37.2° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.955, the midpoint of the published range, and a fire spread of 0.034, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.925, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Radiant Square Cut in zircon live. Zircon is strongly doubly refractive (birefringence up to 0.059), so its back facets can look doubled. Our census traces one index (1.955), so the doubling is not in these figures. The Radiant Square Cut has 49 facets and a total depth of 72.8% of its width; its pavilion mains sit at 34.6°. In zircon, the census returns 77 of 100 for brilliance and 58 for fire, against 98 and 69 for the T73, our benchmark, in the same stone; the same Radiant Square Cut in diamond reads 72 and 62. ## Is zircon good in a Radiant Square? Pros and cons, measured ### Pros - [Holds its light better in zircon than in diamond](https://digitalgemology.com/gemstones/zircon/radiant-square#pro-tiltStab) 94 vs 90 ### Cons - [Heavier than the same cut in diamond](https://digitalgemology.com/gemstones/zircon/radiant-square#con-weight) 2.15 vs 1.62 ct - [Returns less light than the T73 in zircon](https://digitalgemology.com/gemstones/zircon/radiant-square#con-brilliance) 77 vs 98 - [Fewer facets, less sparkle](https://digitalgemology.com/gemstones/zircon/radiant-square#con-scint) 66 vs 80 - [Leaks more light than the T73 in zircon](https://digitalgemology.com/gemstones/zircon/radiant-square#con-leak) 15 vs 2 Compared with the T73 Round Brilliant in zircon and with the Radiant Square Cut in diamond. A difference counts from 3 points (Brilliance, Fire, Tilt, Leakage), 5 (Scintillation, Symmetry), 4% (face-up size per carat) or 5% (weight); Tilt counts as a pro only for a stone within 5 points of the brilliance it is compared with. [How we measure](https://digitalgemology.com/about/how-we-measure). ## All eight scores against the T73 At a glance: the Radiant Square Cut in zircon (white) against the T73 Round Brilliant in zircon (dashed): solid white where it reaches further, hatched where it falls short. Each pro and con is explained, with pictures, below. Against the T73 Round Brilliant in zircon: ahead on 2, level on 1, behind on 5. - Global 78, the comparison 88, difference −10 - Brilliance 77, the comparison 98, difference −21 - Fire 58, the comparison 69, difference −11 - Scintillation 66, the comparison 80, difference −14 - Spread 101, the comparison 100, difference +1 - Symmetry 100, the comparison 100, difference 0 - Shape-norm 90, the comparison 105, difference −15 - Tilt 94, the comparison 82, difference +12 Face-up light census, a different measure from the Cut Grading Tool; Spread and Shape-norm above 100 sit on the ring. Spread is the census's estimate from depth alone; the face-up size in the pros and cons is measured from each model's outline. [Open it in the Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=radiant-square&stone=zircon); these are the same census figures as our [Cut Performance Index](https://digitalgemology.com/learn/cut-performance-index). ## What the Radiant Square Cut gains in zircon ### Holds its light better in zircon than in diamond **Tilt 94** against 90 for the Radiant Square Cut in diamond: 4 points higher Tilt is how much of its face-up brilliance a stone keeps when the census tilts it 20° about its long axis, with 2,200 rays. The Radiant Square Cut keeps 94 against 90 for the same cut in diamond. The tilt strips below show the maps at 0°, 10°, 20° and 30°, with each picture's own leak share under it. Radiant Square Cut in zircon · Tilt 94 0° · 17% leak 10° · 16% leak 20° · 18% leak 30° · 22% leak Radiant Square Cut in diamond · Tilt 90 0° · 18% leak 10° · 16% leak 20° · 16% leak 30° · 20% leak Tilt is how much of its own face-up light a stone keeps when tilted. Each frame is the Light Return map with the stone tilted away from you by the angle shown; gray is leakage. The share under each frame is that picture's own. [Try it yourself: Compare the Tilt spoke in the Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=radiant-square&stone=zircon&vs=radiant-square&vsstone=diamond) ## What the Radiant Square Cut gives up in zircon ### Heavier than the same cut in diamond **2.15 ct** at 6.5 mm, against 1.62 ct for the same cut in diamond (+33%) Weight follows specific gravity: 4.665 for zircon against 3.52 for diamond, so the same model at the same size weighs 2.15 ct here and 1.62 ct in diamond, 6.5 mm across. Nothing about the light changes with it. *Weight of a 6.5 mm Radiant Square Cut: 2.15 ct in zircon, 1.62 ct in diamond* A Radiant Square Cut 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity. [Try it yourself: Weights in every gemstone on the Radiant Square Cut page](https://digitalgemology.com/cuts/radiant-square#stones) ### Returns less light than the T73 in zircon **Brilliance 77** against 98 for the T73 Round Brilliant in zircon: 21 points lower Brilliance is the share of the 3,200 census rays that enter the stone and come back out of the crown towards the viewer. In zircon, whose critical angle is 31.3°, the Radiant Square Cut returns 77 of 100 and the T73 98. The Radiant Square Cut's pavilion mains sit at 34.6°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks. Radiant Square Cut in zircon · Brilliance 77 T73 Round Brilliant in zircon · Brilliance 98 Red, green and blue = light returning to the eye; gray = leakage, light that leaves heading down or stays inside. This is the head-on view; the Brilliance score averages a wider cone of light, so the score can differ from what one picture shows. **What helps:** [the DG-Broken Hearts and Arrows](https://digitalgemology.com/gemstones/zircon/dg-broken-hearts-and-arrows) reads 98 for brilliance in zircon, the best of the cuts we score there. [Try it yourself: Open this Light Return map in the simulator](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square&stone=zircon&ct=1.00&view=up&map=1&turn=0) ### Fewer facets, less sparkle **Scintillation 66** against 80 for the T73 Round Brilliant in zircon: 14 points lower Scintillation follows the number of facets the stone shows: 100 × (1 − e^(−facets / 45)). The Radiant Square Cut has 49 facets and the T73 73, so 66 against 80. It depends on the geometry alone, so it is the same in every stone. *Facet diagram of the Radiant Square Cut: its crown, seen face-up, 49 facets in all* Radiant Square Cut · 49 facets · Scintillation 66 *Facet diagram of the T73 Round Brilliant: its crown, seen face-up, 73 facets in all* T73 Round Brilliant · 73 facets · Scintillation 80 Scintillation follows the number of facets: more facets, more and smaller flashes as the stone moves. Compare the facet counts under the drawings; each drawing shows only the crown. Drawn from each cut's own model. **What helps:** [the DG-Miliano](https://digitalgemology.com/gemstones/zircon/dg-miliano) reads 98 for scintillation in zircon, the best of the cuts we score there. [Try it yourself: Compare the Scintillation spoke in the Cut Performance Wheel](https://digitalgemology.com/tools/cut-performance-wheel?cut=radiant-square&stone=zircon) ### Leaks more light than the T73 in zircon **Leakage 15** against 2 for the T73 Round Brilliant in zircon: 13 points higher Leakage is the share of the census rays that enter the stone and leave through the pavilion, or through the crown heading down. The Radiant Square Cut leaks 15% in zircon against 2% for the T73 in zircon. Grey in the maps below is leaking light; the share under each picture is that picture's own. Radiant Square Cut in zircon · Leakage 15 0° · 17% leak 10° · 16% leak 20° · 18% leak 30° · 22% leak T73 Round Brilliant in zircon · Leakage 2 0° · 1% leak 10° · 6% leak 20° · 15% leak 30° · 26% leak Each frame is the Light Return map with the stone tilted away from you by the angle shown; gray is leakage. The share under each frame is that picture's own. **What helps:** [the DG-Broken Hearts and Arrows](https://digitalgemology.com/gemstones/zircon/dg-broken-hearts-and-arrows) reads 2% for leakage in zircon, the best of the cuts we score there. [Try it yourself: Tilt it yourself in the simulator's light map](https://digitalgemology.com/tools/3d_gemstone_simulator?cut=radiant-square&stone=zircon&ct=1.00&view=up&map=1&turn=0) ## Our verdict on the Radiant Square Cut in zircon Pick the Radiant Square Cut in zircon for this: it holds its light better than in diamond when tilted. The catch: it weighs more than in diamond, returns less light than the T73, has fewer facets to sparkle with and leaks more light than the T73. If that catch matters more to you, [the DG-Broken Hearts and Arrows](https://digitalgemology.com/gemstones/zircon/dg-broken-hearts-and-arrows) reads 98 for brilliance in zircon, the best of the cuts we score there. Every figure on this page is from our light census, traced at one refractive index: a simulation of the geometry, not a grading report. The 3D files and cutting files below are the same Radiant Square Cut model we traced. ## Radiant Square Cut Zircon: questions ### Is the Radiant Square a good cut for zircon? In our census the Radiant Square Cut returns 77 of 100 for brilliance and 58 for fire in zircon, against 98 and 69 for the T73 in the same stone. Against that round and against the same cut in diamond it has 1 pro and 4 cons by our thresholds; the summary above names them. ### What pavilion angle does zircon need? At least 37.2° for a round design: zircon's critical angle is 31.3°, from the low end of its refractive index range, and head-on light has to reflect off both sides of the pavilion and leave through the table. The Radiant Square Cut's pavilion mains sit at 34.6°. ### How much does a Radiant Square weigh in zircon? At 6.5 mm across, 2.15 ct in zircon, against 1.62 ct for the same cut in diamond (+33%): zircon's specific gravity is 4.665, diamond's 3.52. ### Can I see the Radiant Square in zircon in 3D? Yes: the 3D Gemstone Simulator renders it live, with zircon's own refractive index and dispersion. Zircon is traced by the same light census as the other gemstones, with its refractive index and fire spread derived from published values, so its scores are on the same scale; the pictures here are our Light Return tracer, and the Cut Performance Wheel sets it against any other cut and stone. ## Get the Radiant Square Cut files *6 formats* *Millimeters* *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 modeling and rendering - **FBX** Blender, 3ds Max, Maya, Cinema 4D, Unity, Unreal - **GLB** Web, AR and quick previews €9.99 · [Personal use](https://digitalgemology.com/licence) [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 €6.99 · [Personal use](https://digitalgemology.com/licence) [Buy the cutting files](https://digitalgemology.lemonsqueezy.com/checkout/buy/fd3a043b-495d-4a91-94e7-78f2bc740eb3) Not sure the files open in your software? [Get the cube free](https://digitalgemology.lemonsqueezy.com/checkout/buy/2d1ab55f-2bd6-4897-a4cd-f3320f54e99e): the same six formats, for your email address, used only to send them ([privacy](https://digitalgemology.com/privacy#free-sample)). Questions before you buy? [Email us](mailto:support@digitalgemology.com). ## More gemstones and cuts [Zircon: optical properties and the top ten cuts](https://digitalgemology.com/gemstones/zircon) · [The Radiant Square Cut: specifications, model and files](https://digitalgemology.com/cuts/radiant-square) ### Other cuts in zircon - [T73 Round Brilliant](https://digitalgemology.com/gemstones/zircon/t73-round-brilliant) - [T105 Round Brilliant](https://digitalgemology.com/gemstones/zircon/t105-round-brilliant) - [DG-Vitruvio](https://digitalgemology.com/gemstones/zircon/dg-vitruvio) - [DG-Anteros](https://digitalgemology.com/gemstones/zircon/dg-anteros) - [DG-Broken Hearts and Arrows](https://digitalgemology.com/gemstones/zircon/dg-broken-hearts-and-arrows) - [Baguette Cut](https://digitalgemology.com/gemstones/zircon/baguette) - [Emerald Cut](https://digitalgemology.com/gemstones/zircon/emerald-cut) - [Marquise Cut](https://digitalgemology.com/gemstones/zircon/marquise) - [Oval Cut](https://digitalgemology.com/gemstones/zircon/oval) - [Pear Cut](https://digitalgemology.com/gemstones/zircon/pear) - [Radiant Cut](https://digitalgemology.com/gemstones/zircon/radiant) - [Rectangle Cut](https://digitalgemology.com/gemstones/zircon/rectangle) - [Teardrop Cut](https://digitalgemology.com/gemstones/zircon/teardrop) - [Asscher Cut](https://digitalgemology.com/gemstones/zircon/asscher) - [Cushion Cut](https://digitalgemology.com/gemstones/zircon/cushion) - [Emerald Square Cut](https://digitalgemology.com/gemstones/zircon/emerald-square) - [Princess Cut](https://digitalgemology.com/gemstones/zircon/princess) - [Square Cut](https://digitalgemology.com/gemstones/zircon/square) - [Triangle Cut](https://digitalgemology.com/gemstones/zircon/triangle) - [Trilliant Cut](https://digitalgemology.com/gemstones/zircon/trilliant) - [Trillion Cut](https://digitalgemology.com/gemstones/zircon/trillion) - [Hexagon Cut](https://digitalgemology.com/gemstones/zircon/hexagon) - [Octagon Cut](https://digitalgemology.com/gemstones/zircon/octagon) - [Portuguese Bird's Nest Cut](https://digitalgemology.com/gemstones/zircon/portuguese-birds-nest) - [Old Single Cut](https://digitalgemology.com/gemstones/zircon/old-single) - [Mazarin Cut](https://digitalgemology.com/gemstones/zircon/mazarin) - [Peruzzi Cut](https://digitalgemology.com/gemstones/zircon/peruzzi) - [Old Mine Cut](https://digitalgemology.com/gemstones/zircon/old-mine) - [Old European Cut](https://digitalgemology.com/gemstones/zircon/old-european) - [T57 Round Brilliant](https://digitalgemology.com/gemstones/zircon/t57-round-brilliant) - [DG-M5](https://digitalgemology.com/gemstones/zircon/dg-m5) - [DG-Miliano](https://digitalgemology.com/gemstones/zircon/dg-miliano) - [DG-Rafaello](https://digitalgemology.com/gemstones/zircon/dg-rafaello) - [DG-Bowtie](https://digitalgemology.com/gemstones/zircon/dg-bowtie) - [DG-Elongated Hexagon](https://digitalgemology.com/gemstones/zircon/dg-elongated-hexagon) - [DG-Octagonal Kite](https://digitalgemology.com/gemstones/zircon/dg-octagonal-kite) ### The Radiant Square Cut in other gemstones - [Moissanite](https://digitalgemology.com/gemstones/moissanite/radiant-square) - [Diamond](https://digitalgemology.com/gemstones/diamond/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) - [Topaz](https://digitalgemology.com/gemstones/topaz/radiant-square) - [Spinel](https://digitalgemology.com/gemstones/spinel/radiant-square) - [Demantoid](https://digitalgemology.com/gemstones/demantoid/radiant-square) - [Tourmaline](https://digitalgemology.com/gemstones/tourmaline/radiant-square) - [Peridot](https://digitalgemology.com/gemstones/peridot/radiant-square) - [Tanzanite](https://digitalgemology.com/gemstones/tanzanite/radiant-square) - [YAG](https://digitalgemology.com/gemstones/yag/radiant-square) - [Pyrope](https://digitalgemology.com/gemstones/pyrope/radiant-square) - [Almandine](https://digitalgemology.com/gemstones/almandine/radiant-square) - [Spessartine](https://digitalgemology.com/gemstones/spessartine/radiant-square) - [Grossular](https://digitalgemology.com/gemstones/grossular/radiant-square) - [Chrysoberyl](https://digitalgemology.com/gemstones/chrysoberyl/radiant-square) - [Kunzite](https://digitalgemology.com/gemstones/kunzite/radiant-square) - [Iolite](https://digitalgemology.com/gemstones/iolite/radiant-square) - [Morganite](https://digitalgemology.com/gemstones/morganite/radiant-square) - [GGG](https://digitalgemology.com/gemstones/ggg/radiant-square) - [Strontium titanate](https://digitalgemology.com/gemstones/strontium-titanate/radiant-square) - [Synthetic rutile](https://digitalgemology.com/gemstones/synthetic-rutile/radiant-square)