Brilliance 73 · Fire 90 · Scintillation 80 · in our census, where the T73 scores 98 · 76 · 80 in GGG
How the Trillion Cut handles light in GGG, measured: brilliance 73, fire 90 and 16% leakage, set against the T73 in the same stone and against the same cut in diamond.
Light Return map of the Trillion Cut in GGG, face-up, from our own tracer at refractive index 1.97. Red, green and blue return light to the eye; gray leaks.
Trillion Cut GGG
GGG has a refractive index of 1.970 and a dispersion of 0.045. Its critical angle, from the low end of that range, is 30.5°, so a round design needs a pavilion of at least 37.4° for head-on light to reflect off both sides of the pavilion and leave through the table. We trace it with one index, 1.970, the midpoint of the published range, and a fire spread of 0.039, 0.86 of the published dispersion. Every picture here is our Light Return tracer at 1.970, and every figure is from the same light census that scores the other gemstones; the 3D Gemstone Simulator shows the Trillion Cut in GGG live.
The Trillion Cut has 73 facets, a table of 56.6% of its width and a total depth of 50.7% of its width; its pavilion mains sit at 31.9°. In GGG, the census returns 73 of 100 for brilliance and 90 for fire, against 98 and 76 for the T73, our benchmark, in the same stone; the same Trillion Cut in diamond reads 67 and 87.
Is GGG good in a Trillion? Pros and cons, measured
Compared with the T73 Round Brilliant in GGG and with the Trillion 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 Trillion Cut in GGG (white) against the T73 Round Brilliant in GGG (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 ggg: ahead on 3, level on 2, behind on 3.
Global83, the comparison 90, difference −7
Brilliance73, the comparison 98, difference −25
Fire90, the comparison 76, difference +14
Scintillation80, the comparison 80, difference 0
Spread107, the comparison 100, difference +7
Symmetry100, the comparison 100, difference 0
Shape-norm85, the comparison 105, difference −20
Tilt89, the comparison 82, difference +7
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 Trillion Cut gains in GGG
More fire than the T73 in GGG
Fire 90 against 76 for the T73 Round Brilliant in GGG: 14 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 (0.039 in GGG) and counts a ray as fire when the two directions differ by more than 0.6°. The Trillion Cut reads 90 against 76 for the T73 in GGG. The figure is the census's; the 3D Gemstone Simulator renders GGG'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 Trillion Cut in GGG under the sunny-day lighting.
1.60 ct at 6.5 mm, against 0.80 ct for the same cut in diamond (+100%)
Weight follows specific gravity: 7.05 for GGG against 3.52 for diamond, so the same model at the same size weighs 1.60 ct here and 0.80 ct in diamond, 6.5 mm across. Nothing about the light changes with it.
A Trillion Cut 6.5 mm across, weighed from the model's measured volume and each stone's specific gravity.
Brilliance 73 against 98 for the T73 Round Brilliant in GGG: 25 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 GGG, whose critical angle is 30.5°, the Trillion Cut returns 73 of 100 and the T73 98. The Trillion Cut's pavilion mains sit at 31.9°, the T73's at 40.8°. The maps below show where each stone's light returns from and where it leaks.
Trillion Cut in GGG · Brilliance 73
T73 Round Brilliant in GGG · 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.
Leakage 16 against 2 for the T73 Round Brilliant in GGG: 14 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 Trillion Cut leaks 16% in GGG against 2% for the T73 in GGG. Grey in the maps below is leaking light; the share under each picture is that picture's own.
Trillion Cut in GGG · Leakage 16
0° · 14% leak
10° · 16% leak
20° · 23% leak
30° · 32% leak
T73 Round Brilliant in GGG · Leakage 2
0° · 0% leak
10° · 4% leak
20° · 14% leak
30° · 23% 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.
Pick the Trillion Cut in GGG for this: it shows more fire than the T73. The catch: it weighs more than in diamond, returns less light than the T73 and leaks more light than the T73.
If that catch matters more to you, the DG-Broken Hearts and Arrows reads 98 for brilliance in GGG, 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 Trillion Cut model we traced.
Trillion Cut GGG: questions
Is the Trillion a good cut for GGG?
In our census the Trillion Cut returns 73 of 100 for brilliance and 90 for fire in GGG, against 98 and 76 for the T73 in the same stone. Against that round and against the same cut in diamond it has 1 pro and 3 cons by our thresholds; the summary above names them.
What pavilion angle does GGG need?
At least 37.4° for a round design: GGG's critical angle is 30.5°, 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 Trillion Cut's pavilion mains sit at 31.9°.
How much does a Trillion weigh in GGG?
At 6.5 mm across, 1.60 ct in GGG, against 0.80 ct for the same cut in diamond (+100%): GGG's specific gravity is 7.05, diamond's 3.52.
Can I see the Trillion in GGG in 3D?
Yes: the 3D Gemstone Simulator renders it live, with GGG's own refractive index and dispersion. GGG 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 Trillion Cut files
6 formatsMillimetersWatertight
Trillion Cut 3D files
The Trillion Cut as exact geometry: 73 planar facets, real-world scale, ready for CAD,
rendering, printing and casting.
Save with a bundle: the Trillion Cut cutting files are also in Faceter's Classics, 10 cuts for €22.49 until 1 December, then €29.99 (€69.90 as single files). Buy the bundle.
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).
