Brilliance 86 · Fire 73 · Scintillation 79 · in our census, where the T73 scores 96 · 54 · 80 in YAG
How the Trilliant Cut handles light in YAG, measured: brilliance 86, fire 73 and 10% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the Trilliant Cut in YAG, face-up, from our own tracer at refractive index 1.833. Red, green and blue return light to the eye; gray leaks.
Trilliant Cut YAG
YAG has a refractive index of 1.833 and a dispersion of 0.028. Its critical angle, from the low end of that range, is 33.1°, so a round design needs a pavilion of at least 36.7° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.833, the midpoint of the published range, and a fire spread of 0.024, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.833, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Trilliant Cut in YAG live.
The Trilliant Cut has 70 facets and a total depth of 58.9% of its width; its pavilion mains sit at 39.0°. In YAG, the census returns 86 of 100 for brilliance and 73 for fire, against 96 and 54 for the T73, our benchmark, in the same stone; the same Trilliant Cut in diamond reads 78 and 83.
Is YAG good in a Trilliant? Pros and cons, measured
Compared with the T73 Round Brilliant in YAG and with the Trilliant 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.
All eight scores against the T73
At a glance: the Trilliant Cut in YAG (white) against the T73 Round Brilliant in YAG (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 yag: ahead on 2, level on 1, behind on 5.
Global79, the comparison 83, difference −4
Brilliance86, the comparison 96, difference −10
Fire73, the comparison 54, difference +19
Scintillation79, the comparison 80, difference −1
Spread101, the comparison 100, difference +1
Symmetry62, the comparison 100, difference −38
Shape-norm100, the comparison 103, difference −3
Tilt78, the comparison 78, difference 0
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; these are the same census figures as our Cut Performance Index.
What the Trilliant Cut gains in YAG
More fire than the T73 in YAG
Fire 73 against 54 for the T73 Round Brilliant in YAG: 19 points higher
Fire is the share of the returned light that splits into color at the exit facet: the census traces each exit again at the refractive index minus and plus the fire spread (0.024 in YAG) and counts a ray as fire when the two directions differ by more than 0.6°. The Trilliant Cut reads 73 against 54 for the T73 in YAG. The figure is the census's; the 3D Gemstone Simulator renders YAG's fire live.
The fire figure is the census's, traced at the refractive index minus and plus the fire spread. See the fire in the 3D Gemstone Simulator: the Trilliant Cut in YAG under the sunny-day lighting.
Symmetry 62 against 100 for the T73 Round Brilliant in YAG: 38 points lower
Symmetry reads how evenly the pavilion facets of each design family are cut: 100 − 6 × their scatter in degrees. The Trilliant Cut reads 62, the T73 100. It depends on the geometry alone, so it is the same in every stone.
Trilliant Cut · 70 facets · Symmetry 62
T73 Round Brilliant · 73 facets · Symmetry 100
Symmetry scores how regular the pavilion facets are within the design. Compare how evenly the facets repeat around each pavilion. Drawn from each cut's own model.
1.24 ct at 6.5 mm, against 0.96 ct for the same cut in diamond (+29%)
Weight follows specific gravity: 4.55 for YAG against 3.52 for diamond, so the same model at the same size weighs 1.24 ct here and 0.96 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
A Trilliant Cut 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity.
Tilt 78 against 89 for the Trilliant Cut in diamond: 11 points lower
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 Trilliant Cut keeps 78 against 89 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.
Trilliant Cut in YAG · Tilt 78
0° · 10% leak
10° · 14% leak
20° · 25% leak
30° · 27% leak
Trilliant Cut in diamond · Tilt 89
0° · 12% leak
10° · 16% leak
20° · 20% leak
30° · 24% 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.
What helps:the DG-Miliano reads 85 for tilt in YAG, the best of the cuts we score there.
Brilliance 86 against 96 for the T73 Round Brilliant in YAG: 10 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 YAG, whose critical angle is 33.1°, the Trilliant Cut returns 86 of 100 and the T73 96. The Trilliant Cut's pavilion mains sit at 39.0°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Trilliant Cut in YAG · Brilliance 86
T73 Round Brilliant in YAG · Brilliance 96
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-M5 reads 97 for brilliance in YAG, the best of the cuts we score there.
Pick the Trilliant Cut in YAG for this: it shows more fire than the T73. The catch: it has a less regular pavilion than the T73, weighs more than in diamond, loses more light when tilted than in diamond and returns less light than the T73.
If that catch matters more to you, the DG-Miliano reads 85 for tilt in YAG, 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 Trilliant Cut model we traced.
Trilliant Cut YAG: questions
Is the Trilliant a good cut for YAG?
In our census the Trilliant Cut returns 86 of 100 for brilliance and 73 for fire in YAG, against 96 and 54 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 YAG need?
At least 36.7° for a round design: YAG's critical angle is 33.1°, 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 Trilliant Cut's pavilion mains sit at 39.0°.
How much does a Trilliant weigh in YAG?
At 6.5 mm across, 1.24 ct in YAG, against 0.96 ct for the same cut in diamond (+29%): YAG's specific gravity is 4.55, diamond's 3.52.
Can I see the Trilliant in YAG in 3D?
Yes: the 3D Gemstone Simulator renders it live, with YAG's own refractive index and dispersion. YAG 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 Trilliant Cut files
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Trilliant Cut 3D files
The Trilliant Cut as exact geometry: 72 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
