# Brilliant cut

The standard round brilliant is a gem-cutting style in which the stone is round in plan view and carries 57 or 58 triangular and kite-shaped facets, 33 above the girdle and 24 below, arranged to optimize light return through the crown<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup><sup> • </sup><sup>[2](https://www.britannica.com/art/brilliant-cut)</sup>. The standard round brilliant is the dominant [diamond cut](https://www.edgepedia.org/diamond-cut), accounting for about 75% of all diamond sales, and the faceting style extends to fancy shapes such as oval, pear, marquise, and heart, and to colored stones including ruby, sapphire, and emerald<sup>[3](https://www.gemsociety.org/article/overview-of-gem-cutting-styles/)</sup><sup> • </sup><sup>[4](https://www.tiffany.com/engagement/diamond-education/cut.html)</sup><sup> • </sup><sup>[2](https://www.britannica.com/art/brilliant-cut)</sup>.

| Key fact | Detail |
|---|---|
| Facet count | 57 or 58 facets; the 58th is an optional culet at the bottom of the pavilion<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup> |
| Market share | About 75% of all diamond sales are standard round brilliants<sup>[3](https://www.gemsociety.org/article/overview-of-gem-cutting-styles/)</sup> |
| Tolkowsky ideal (1919) | 53% table, 34.5° crown angle, 40.75° pavilion angle, 59.3% total depth<sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup> |
| Rough yield | Cutting loses on average about 50% of the rough weight; the best proportions require the greatest loss<sup>[6](https://www.jcrs.com/JCRS_for_consumers/jewelry_information/diamonds/diamonds_cutting.htm)</sup> |
| Price effect of cut | Cut proportions alone can vary price by as much as 50% between otherwise equal stones<sup>[6](https://www.jcrs.com/JCRS_for_consumers/jewelry_information/diamonds/diamonds_cutting.htm)</sup> |
| GIA cut grading | Cut grades are assigned only to round brilliants, the only cut with standardized facets; other shapes are "fancy shapes"<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup> |
| Appearance terms | GIA's system defines appearance by brightness, fire, and scintillation, with "brightness" replacing the older term "brilliance"<sup>[7](https://www.gia.edu/gems-gemology/fall-2004-grading-cut-quality-brilliant-diamond-moses)</sup> |

## History and evolution

The brilliant lineage runs from the Rose Cut of the 1500s through the Mazarin and Peruzzi cuts to the Old Mine and Old European cuts, which kept a cushion outline and large facets, before becoming the round brilliant<sup>[8](https://www.igi.org/consumer-education/diamond-4cs/diamond-cut/)</sup>. Marcel Tolkowsky, writing in 1919, credited [Cardinal Mazarin](https://www.edgepedia.org/cardinal-mazarin) with introducing the brilliant in the middle of the seventeenth century, the first brilliants being known as Mazarins<sup>[9](https://gemology.se/gill-library/gemjewelry/Diamond_Design_Marcel_Tolkowsky_1919.pdf)</sup>. By 1750 the 58-facet brilliant already existed, as David Jeffries' *Treatise on Diamonds and Pearls* records<sup>[10](https://acagemlab.com/wp-content/uploads/2019/01/Ideal-CutAGedit-Final.pdf)</sup>. Britannica attributes the modern brilliant to the Venetian gem-cutter Vicenzi Peruzzi at the end of the 17th century, with the cut reaching its present form early in the 20th century<sup>[2](https://www.britannica.com/art/brilliant-cut)</sup>.

**The American Cut.** In the late 1860s Henry D. Morse's Boston cutting firm began cutting what became the American Cut, with crown angles near 35° and pavilion angles near 41°, replacing the 45° angles recommended by Jeffries (1750) and Mawe (1813) and shifting the priority from weight retention to beauty<sup>[10](https://acagemlab.com/wp-content/uploads/2019/01/Ideal-CutAGedit-Final.pdf)</sup><sup> • </sup><sup>[11](https://www.jewellermagazine.com/Article2/9951/Making-the-cut-A-to-Z-diamond-cuts)</sup>. Steam-driven bruting machines and motorized saws during the South African diamond rush enabled the 58-facet Old European cut<sup>[11](https://www.jewellermagazine.com/Article2/9951/Making-the-cut-A-to-Z-diamond-cuts)</sup>. By the early 1900s the Morse-derived proportions had been generally adopted by European cutting houses serving the American market<sup>[10](https://acagemlab.com/wp-content/uploads/2019/01/Ideal-CutAGedit-Final.pdf)</sup>.

Later brilliant-derived cuts include Lazare Kaplan's modern oval, Henry Grossbard's 66-facet Radiant cut (1977), and the Princess cut, a square diamond with a brilliant cut, in 1979<sup>[11](https://www.jewellermagazine.com/Article2/9951/Making-the-cut-A-to-Z-diamond-cuts)</sup>.

## Geometry and facet arrangement

A standard round brilliant divides into three zones from top to bottom: crown, girdle, and pavilion, with the large flat facet on top called the table<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup>. Of the stone's facets, 33 lie above the girdle and 24 below, with the optional culet at the bottom of the pavilion counting as the 58th<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup><sup> • </sup><sup>[2](https://www.britannica.com/art/brilliant-cut)</sup>. The pavilion's steeply angled mains are the engine of light return: when the crown facets make an angle of about 35° to the girdle plane and the pavilion facets about 41°, the maximum light entering the crown is reflected back through the crown by the pavilion<sup>[2](https://www.britannica.com/art/brilliant-cut)</sup>.

Proportions are expressed as percentages of girdle diameter and as angles. GIA's cut-grade bands for round brilliants run from Excellent (table 53–58%, total depth 59–62.3%, crown angle 34–34.9°) down to Poor (table below 50% or above 69%, crown angle below 29° or above 40.5°)<sup>[12](https://taylorandhart.com/us/diamond-guidance/diamond-shapes/round)</sup>. One trade specification lists an ideal total depth of 60.0–61.1%, table diameter of 57.5%, and crown angle of 34.5°<sup>[13](https://www.gemfrance.co.uk/content/encyclopedie/brillant/)</sup>. Broader working ranges place the table at roughly 52–62%, crown angle at 31.5–36.5°, pavilion depth percentage at 41–48%, and pavilion angle at 37.4–44°; pavilion angles that are too shallow cause fisheye reflections, while angles that are too steep make the stone look dark<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>.

## Optical performance

Diamond appearance is described by three components. Brightness (formerly brilliance) is the visual impact of white light returned to the viewer; fire is the observable colored light produced by dispersion; and scintillation covers both sparkliness and how the pattern of light and dark changes as the stone or viewer moves<sup>[7](https://www.gia.edu/gems-gemology/fall-2004-grading-cut-quality-brilliant-diamond-moses)</sup><sup> • </sup><sup>[15](https://www.tandfonline.com/doi/full/10.1080/17513472.2026.2729158)</sup>.

The crown angle contributes to a tradeoff between the first two. A shallower crown can favor brilliance at the expense of fire, while a steeper crown can favor fire at the expense of brilliance<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>. No single parameter can be optimized in isolation, because the facets work as a system: a diamond can earn Excellent grades for individual parameters yet only a Very Good or Good overall cut grade if the properties do not work together<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>.

Beyond proportions, craftsmanship matters. GIA grades polish, the overall condition of the facet surfaces, and symmetry, the exactness of the shape and placement of the facets, as components of finish<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup>.

## Cut grading and quality assessment

GIA assigns cut grades only to round brilliant diamonds, because GIA's cut-grading system is defined for the standardized facets of round brilliants; every other shape is a fancy shape<sup>[1](https://4cs.gia.edu/en-us/diamond-cut/)</sup>. The grading research behind the system models appearance through brightness, fire, and scintillation and assigns grades of Excellent, Very Good, Good, Fair, and Poor to diamonds with good or better symmetry and finish, across ranges of crown angle, pavilion depth percentage, table percentage, girdle thickness, and culet size<sup>[7](https://www.gia.edu/gems-gemology/fall-2004-grading-cut-quality-brilliant-diamond-moses)</sup><sup> • </sup><sup>[19](https://www.gia.edu/diamond-cut/diamond-cut-basic-overview)</sup>.

**Performance-based grading.** AGS Laboratories began researching diamond cut in 2000 with Dr. José Sasián of the [University of Arizona](https://www.edgepedia.org/university-of-arizona) in Tucson, producing a system that analyzes light performance on a three-dimensional image of the faceted diamond. It replaced a two-dimensional proportion-based system that addressed only averages of table percentage and the eight crown and eight pavilion main facet angles<sup>[16](https://members.americangemsociety.org/page/performancebasedcut)</sup>. In AGS's proportion framework, grade 0 requires a table of 52.4–57.5%, crown angle of 33.7–35.8°, and pavilion angle of 40.16–41.2°<sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup>.

IGI grades cut through Light Performance, defined as the overall strength of light return versus leakage, together with Brightness, Fire, and Contrast; its researchers used ray-tracing software to analyze light performance across thousands of proportions sets and 18 table sizes for round brilliants<sup>[17](https://www.igi.org/diamond-grading-process/cut-grading/)</sup>.

**Triple Excellent and Hearts and Arrows.** "Triple excellent" means cut, symmetry, and polish all rank Excellent by GIA standards, but the designation is fairly standard and should not drastically affect prices<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>. A Hearts and Arrows diamond shows an arrow pattern viewed through the table and a heart pattern through the pavilion, always has Excellent symmetry, and can command a price premium because highly symmetrical diamonds take more cutting time and waste more rough weight; it is not necessarily Excellent in other cut-grade aspects<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>.

## By the numbers

Tolkowsky's 1919 derivation balanced reflection against dispersion and concluded that a pavilion angle of 40°45' gives "the most vivid fire and the greatest brilliancy"; his specification, relative to a girdle diameter of 100, was a table of 53.0 and total thickness of 59.3<sup>[9](https://gemology.se/gill-library/gemjewelry/Diamond_Design_Marcel_Tolkowsky_1919.pdf)</sup><sup> • </sup><sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup>. Earlier and later benchmarks bracket it: Wade's 1916 American Ideal used a 45.3% table, 35° crown angle, 41° pavilion angle, and 62.7% total depth, while Eppler's 1939 Practical Fine specified a 56% table, 33.2° crown angle, 40.8° pavilion angle, and 57.6% total depth<sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup>.

Cutting is lossy. The average weight loss from rough to polished is about 50%, and poorly proportioned stones retain more weight while the best proportions require greater loss<sup>[6](https://www.jcrs.com/JCRS_for_consumers/jewelry_information/diamonds/diamonds_cutting.htm)</sup>. A worked example from GIA's modeling study planned a round brilliant with a 60% table, 32.7° crown angle, and 41.5° pavilion angle from 1.75 ct of rough; the finished stone weighed 1.02 ct with a weighted light return of 0.279, showing how higher cut standards reduce weight yield<sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup>.

## How it compares with other cuts

All diamond shapes derive from three faceting styles: the round brilliant, the step cut, and the princess cut. Round-edged shapes such as pear, oval, cushion, and marquise are based on the round brilliant; straight-edged shapes like the emerald cut derive from the step cut; and the princess is a square brilliant variation<sup>[18](https://www.debeers.com/en-us/diamond-shapes.html)</sup>.

Step cuts use trapezoidal facets running parallel to the girdle, like a set of stairs, and emphasize color and clarity rather than sparkle; mixed cuts combine the two styles, for example a step-cut crown over a brilliant-cut pavilion<sup>[4](https://www.tiffany.com/engagement/diamond-education/cut.html)</sup>. The oval is a modified round brilliant with similar light return, whose elongated shape creates the illusion of greater carat weight, while the emerald cut's stepped facets produce a "hall-of-mirrors" effect around a larger table surface<sup>[18](https://www.debeers.com/en-us/diamond-shapes.html)</sup>.

The round brilliant is described as the most brilliant of the diamond cuts<sup>[4](https://www.tiffany.com/engagement/diamond-education/cut.html)</sup>. Fancy shapes are graded with looser, more subjective parameters and gain value primarily for shape appeal, whereas round brilliants gain value from the brilliance and fire that require precision cutting<sup>[14](https://www.gemsociety.org/article/diamond-cuts/)</sup>. IGI grades fancy shapes on an Excellent-to-Poor scale through a four-step process covering polish and symmetry, proportions qualification, additional craftsmanship requirements, and light return grading, because fancy-shape cut quality cannot be graded on proportions alone<sup>[17](https://www.igi.org/diamond-grading-process/cut-grading/)</sup>.

## Modern modeling and recent developments

The single "ideal" proportion set has given way to ranges and to optical modeling. GIA's three-dimensional ray-tracing model of the round brilliant produced a numerical measure of optical efficiency called weighted light return (WLR), which approximates overall brilliance; the study found many combinations of proportions with equal or higher WLR than "Ideal" cuts, so cut quality cannot be assessed parameter by parameter<sup>[5](https://doi.org/10.5741/gems.34.3.158)</sup>. AGS's performance-based system and IGI's ray-traced light-performance grading extend the same principle into commercial certification<sup>[16](https://members.americangemsociety.org/page/performancebasedcut)</sup><sup> • </sup><sup>[17](https://www.igi.org/diamond-grading-process/cut-grading/)</sup>.

A 2026 peer-reviewed article models diamond appearance in terms of brilliance, fire, and scintillation and presents two model lighting environments, diffuse lighting and spot lights, for exploring virtual facet patterns, extending ray-tracing analysis beyond Tolkowsky's single-proportion model<sup>[15](https://www.tandfonline.com/doi/full/10.1080/17513472.2026.2729158)</sup>.

## References

1. [Diamond Cut | Understanding The Cut Scale | GIA 4Cs](https://4cs.gia.edu/en-us/diamond-cut/)
2. [Brilliant cut | Britannica](https://www.britannica.com/art/brilliant-cut)
3. [Overview of Gem Cutting Styles - International Gem Society](https://www.gemsociety.org/article/overview-of-gem-cutting-styles/)
4. [Diamond Cut: Education & Diamond Cut Grades | Tiffany & Co.](https://www.tiffany.com/engagement/diamond-education/cut.html)
5. [Modeling the Appearance of the Round Brilliant Cut Diamond: An Analysis of Brilliance, Gems & Gemology](https://doi.org/10.5741/gems.34.3.158)
6. [JCRS - Diamond Cutting - Shapes](https://www.jcrs.com/JCRS_for_consumers/jewelry_information/diamonds/diamonds_cutting.htm)
7. [A Foundation for Grading the Overall Cut Quality of Round Brilliant Cut Diamonds, Gems & Gemology, Fall 2004](https://www.gia.edu/gems-gemology/fall-2004-grading-cut-quality-brilliant-diamond-moses)
8. [Diamond Cut: Grading Scale, Proportions & Brilliance (IGI)](https://www.igi.org/consumer-education/diamond-4cs/diamond-cut/)
9. [Diamond Design: A Study of the Reflection and Refraction of Light in a Diamond (Marcel Tolkowsky, 1919)](https://gemology.se/gill-library/gemjewelry/Diamond_Design_Marcel_Tolkowsky_1919.pdf)
10. [The Ideal Brilliant Cut: Its Beginnings to Today (AGS Gem Lab)](https://acagemlab.com/wp-content/uploads/2019/01/Ideal-CutAGedit-Final.pdf)
11. [Making the cut: A to Z diamond cuts (Jeweller Magazine)](https://www.jewellermagazine.com/Article2/9951/Making-the-cut-A-to-Z-diamond-cuts)
12. [Round Brilliant Cut Diamond • Taylor & Hart](https://taylorandhart.com/us/diamond-guidance/diamond-shapes/round)
13. [Diamond cut (brillant) / Gemfrance](https://www.gemfrance.co.uk/content/encyclopedie/brillant/)
14. [Diamond Cut Quality: Ultimate Guide - International Gem Society](https://www.gemsociety.org/article/diamond-cuts/)
15. [Virtual facet patterns and diamond design (Taylor & Francis, 2026)](https://www.tandfonline.com/doi/full/10.1080/17513472.2026.2729158)
16. [The Performance-Based Cut Grading System - American Gem Society](https://members.americangemsociety.org/page/performancebasedcut)
17. [Diamond Cut Grading - IGI](https://www.igi.org/diamond-grading-process/cut-grading/)
18. [Understanding Diamond Shapes and Cuts | De Beers US](https://www.debeers.com/en-us/diamond-shapes.html)
19. [Diamond Cut: The Wow Factor](https://www.gia.edu/diamond-cut/diamond-cut-basic-overview)

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*Topic: Encyclopedia › Technology and the built world › Communications and everyday technology › Clothing, footwear, and accessories*

*Initially written Oct 15, 2026*

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License: Edgepedia Community License 1.0, https://www.edgepedia.org/edgepedia/license