
A diamond cut is a style or design guide used when shaping a
diamond
Diamond is a Allotropes of carbon, solid form of the element carbon with its atoms arranged in a crystal structure called diamond cubic. Diamond is tasteless, odourless, strong, brittle solid, colourless in pure form, a poor conductor of e ...
for polishing such as the
brilliant cut. Cut refers to shape (
pear
Pears are fruits produced and consumed around the world, growing on a tree and harvested in late summer into mid-autumn. The pear tree and shrub are a species of genus ''Pyrus'' , in the Family (biology), family Rosaceae, bearing the Pome, po ...
, oval), and also the symmetry, proportioning and polish of a diamond. The cut of a diamond greatly affects a diamond's brilliance—a poorly-cut diamond is less luminous.
In order to best use a diamond
gemstone
A gemstone (also called a fine gem, jewel, precious stone, semiprecious stone, or simply gem) is a piece of mineral crystal which, when cut or polished, is used to make jewellery, jewelry or other adornments. Certain Rock (geology), rocks (such ...
's
material properties
A material property is an intensive property of a material, i.e., a physical property or chemical property that does not depend on the amount of the material. These quantitative properties may be used as a metric by which the benefits of one ma ...
, a number of different diamond cuts have been developed. A diamond cut constitutes a more or less symmetrical arrangement of
facet
Facets () are flat faces on geometric shapes. The organization of naturally occurring facets was key to early developments in crystallography, since they reflect the underlying symmetry of the crystal structure. Gemstones commonly have facets cu ...
s, which together modify the shape and appearance of a diamond
crystal
A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions. In addition, macros ...
.
Diamond cutters must consider several factors, such as the shape and size of the crystal, when choosing a cut. The practical history of diamond cuts can be traced back to the
Middle Ages
In the history of Europe, the Middle Ages or medieval period lasted approximately from the 5th to the late 15th centuries, similarly to the post-classical period of global history. It began with the fall of the Western Roman Empire and ...
, while their theoretical basis was not developed until the turn of the 20th century. The earliest diamond cutting techniques were simply to polish the natural shape of rough diamonds, often octahedral crystals; it wasn't until the 14th century that faceting, the process of cutting and polishing a gemstone to create multiple flat surfaces or facets, was first developed in Europe. Design, creation and innovation continue to the present day: new technology—notably
laser
A laser is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation. The word ''laser'' originated as an acronym for light amplification by stimulated emission of radi ...
cutting and
computer-aided design
Computer-aided design (CAD) is the use of computers (or ) to aid in the creation, modification, analysis, or optimization of a design. This software is used to increase the productivity of the designer, improve the quality of design, improve c ...
—has enabled the development of cuts whose complexity, optical performance, and waste reduction were hitherto unthinkable.
The most popular of diamond cuts is the modern round brilliant, whose 57 facets arrangements and proportions have been perfected by both
mathematical
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...
and
empirical
Empirical evidence is evidence obtained through sense experience or experimental procedure. It is of central importance to the sciences and plays a role in various other fields, like epistemology and law.
There is no general agreement on how t ...
analysis. Also popular are the
fancy cuts, which come in a variety of shapes, many of which were derived from the round brilliant. A diamond's cut is evaluated by trained graders, with higher grades given to stones whose symmetry and proportions most closely match the particular "ideal" used as a benchmark. The strictest standards are applied to the round brilliant; although its facet count is invariable, its proportions are not. Different countries base their cut grading on different ideals: one may speak of the American Standard or the Scandinavian Standard (Scan. D.N.), to give but two examples.
History
Ancient India

The process of diamond cutting has been known in the
Indian subcontinent
The Indian subcontinent is a physiographic region of Asia below the Himalayas which projects into the Indian Ocean between the Bay of Bengal to the east and the Arabian Sea to the west. It is now divided between Bangladesh, India, and Pakista ...
as early as the sixth century AD. A sixth-century treatise
Ratnapariksa, or "Appreciation of Gems", states that the best form in which to have the diamond is in its perfect natural octahedral crystal form, and not as a cut stone, indicating that diamond cutting was widespread practice. Al Beruni also describes the process of diamond grinding using lead plate in the 11th century AD. Agastimata, written before 10th century AD, states:
A 12th- or early 13th-century diamond ring attributed to
Muhammad Ghauri contains two diamonds whose crude octahedral natural states are maintained, but they are in limpid condition, exhibiting diamond polishing and shaping predating Europe, where the first diamond processing dates back to the mid-14th century AD. As of today, few diamonds with ancient Mughal-style faceting are known.
Europe

The history of diamond cuts in Europe can be traced to the late
Middle Ages
In the history of Europe, the Middle Ages or medieval period lasted approximately from the 5th to the late 15th centuries, similarly to the post-classical period of global history. It began with the fall of the Western Roman Empire and ...
, before which time diamonds were employed in their natural
octahedral
In geometry, an octahedron (: octahedra or octahedrons) is any polyhedron with eight faces. One special case is the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex. Many types of i ...
state—anhedral (poorly formed) diamonds simply were not used in jewelry. The first "improvements" on nature's design involved a simple polishing of the octahedral crystal faces to create even and unblemished facets, or to fashion the desired octahedral shape out of an otherwise unappealing piece of rough. This was called the point cut, and dates from the mid-14th century; by 1375 there was a
guild
A guild ( ) is an association of artisans and merchants who oversee the practice of their craft/trade in a particular territory. The earliest types of guild formed as organizations of tradespeople belonging to a professional association. They so ...
of diamond polishers at
Nuremberg
Nuremberg (, ; ; in the local East Franconian dialect: ''Nämberch'' ) is the Franconia#Towns and cities, largest city in Franconia, the List of cities in Bavaria by population, second-largest city in the States of Germany, German state of Bav ...
. By the mid-15th century, the point cut began to be improved upon: the top of the octahedron would be polished or ground off, creating the table cut. The importance of a
culet
In gemology, a culet is a flat face on the bottom of a gemstone.
During the 14th century, after the adoption of the table cut, a further facet was added to the bottom of the cut parallel to the surface of the table. The term used for these b ...
was also realized, and some table-cut stones may possess one. The addition of four corner facets created the old single cut (or old eight cut). Neither of these early cuts would reveal what diamond is prized for today: its strong
dispersion or fire. At the time, diamond was valued chiefly for its
adamantine lustre
Lustre (Commonwealth English) or luster (American English; see spelling differences) is the way light interacts with the surface of a crystal, rock, or mineral. The word traces its origins back to the Latin ''lux'', meaning "light", and general ...
and superlative hardness; a table-cut diamond would appear black to the eye, as they do in paintings of the era. For this reason, colored gemstones such as
ruby
Ruby is a pinkish-red-to-blood-red-colored gemstone, a variety of the mineral corundum ( aluminium oxide). Ruby is one of the most popular traditional jewelry gems and is very durable. Other varieties of gem-quality corundum are called sapph ...
and
sapphire
Sapphire is a precious gemstone, a variety of the mineral corundum, consisting of aluminium oxide () with trace amounts of elements such as iron, titanium, cobalt, lead, chromium, vanadium, magnesium, boron, and silicon. The name ''sapphire ...
were far more popular in jewelry of the era.
In or around 1476,
Lodewyk van Bercken
Lodewyk van Bercken (also known in French as ''Louis de Berquem'') was a mid- to late-15th century Flemish Region, Flemish jeweller and diamond cutter, renowned in the industry for inventing the scaif. The device revolutionized the diamond cutti ...
, a
Flemish polisher of
Bruges
Bruges ( , ; ; ) is the capital and largest city of the province of West Flanders, in the Flemish Region of Belgium. It is in the northwest of the country, and is the sixth most populous city in the country.
The area of the whole city amoun ...
, introduced the technique of absolute symmetry in the disposition of facets using a device of his own invention, the
scaif. He cut stones in the shape known as
pendeloque or
briolette
A briolette is a style of gemstone cut (gems), cut. It is an elongated, mostly symmetrical along the main axel, pear shape covered with angular facets usually with a pointed end and no Girdle (gemstone), girdle. It is often drilled to hang as ...
; these were pear-shaped with triangular facets on both sides. About the middle of the 16th century, the rose or rosette was introduced in
Antwerp
Antwerp (; ; ) is a City status in Belgium, city and a Municipalities of Belgium, municipality in the Flemish Region of Belgium. It is the capital and largest city of Antwerp Province, and the third-largest city in Belgium by area at , after ...
: it also consisted of triangular facets arranged in a symmetrical radiating pattern, but with the bottom of the stone left flat—essentially a crown without a pavilion. Many large, famous Indian diamonds of old (such as the
Orloff and
Sancy) also feature a rose-like cut, although these Indian rose diamonds were most likely cut by European lapidaries. The rose cut continued to evolve, with its depth, number and arrangements of facets being tweaked.
The first
brilliant cuts were introduced in the middle of the 17th century. Known as Mazarins, they had 17 facets on the crown (upper half). They are also called double-cut brilliants as they are seen as a step up from old single cuts.
Vincent Peruzzi, a
Venetian polisher, later increased the number of crown facets from 17 to 33 (triple-cut or Peruzzi brilliants), thereby significantly increasing the fire and brilliance of the cut gem, properties that in the Mazarin were already incomparably better than in the rose. Yet Peruzzi-cut diamonds, when seen nowadays, seem exceedingly dull compared to modern-cut brilliants. Because the practice of
bruting had not yet been developed, these early brilliants were all rounded squares or rectangles in cross-section (rather than circular). Given the general name of cushion—what are known today as old mine cuts—these were common by the early 18th century.
Around 1860, American jeweler Henry Dutton Morse opened the first American diamond-cutting factory in Boston. Assuming that smaller but more beautiful gems would sell better, he went against the dogma of conserving diamond weight at all costs and scientifically studied refraction in diamonds, by around 1870 developing what was called the old European cut much later. This cut had a shallower pavilion, more rounded shape thanks to Morse's foreman Charles M. Field, who developed mechanical diamond-bruting machine to replace manual rounding (the two also introduced
dimensional gauges to the industry), and different arrangement of facets. The old European cut was the forerunner of modern brilliants and was the most advanced in use during the 19th century and first two decades of the 20th century, prevailing on the market from about 1890 until about 1930. As compared with the modern round brilliant cut, it is inferior in brilliance but superior in fire.

Around the turn of the century, the development of motorized rotary
saw
A saw is a tool consisting of a tough blade, Wire saw, wire, or Chainsaw, chain with a hard toothed edge used to cut through material. Various terms are used to describe toothed and abrasive saws.
Saws began as serrated materials, and when man ...
s for cutting diamonds, patented in 1901 by John H. G. Stuurman and in 1902 by Ernest G. H. Schenck, gave cutters creative freedom to separate small stones not detachable by cleaving as they wish and allowed them to waste less. These diamond saws and good jewelry
lathe
A lathe () is a machine tool that rotates a workpiece about an axis of rotation to perform various operations such as cutting, sanding, knurling, drilling, deformation, facing, threading and turning, with tools that are applied to the w ...
s enabled the development of modern diamond cutting and diamond cuts, chief among them the round brilliant cut. In 1919,
Marcel Tolkowsky analyzed this cut: his calculations took both brilliance (the amount of white light reflected) and fire into consideration, creating a delicate balance between the two.
Tolkowsky's calculations would serve as the basis for all future brilliant cut modifications and standards.
Tolkowsky's model of the "ideal" cut is not perfect. The original model served as a general guideline, and did not explore or account for several aspects of diamond cut:
Because every facet has the potential to change a light ray's plane of travel, ''every facet must be considered in any complete calculation of light paths''.
Just as a two-dimensional slice of a diamond provides incomplete information about the three-dimensional nature of light behavior inside a diamond, this two-dimensional slice also provides incomplete information about light behavior ''outside'' the diamond. A diamond's panorama is three-dimensional. Although diamonds are highly symmetrical, light can enter a diamond from many directions and many angles. This factor further highlights the need to reevaluate Tolkowsky's results, and to recalculate the effects of a diamond's proportions on its appearance aspects. ...
Another important point to consider is that Tolkowsky did not follow the path of a ray that was reflected more than twice in the diamond. However, we now know that a diamond's appearance is composed of many light paths that reflect considerably more than two times within that diamond. Once again, we can see that Tolkowsky's predictions are helpful in explaining optimal diamond performance, but they are incomplete by today's technological standards.
Tolkowsky's guidelines, while revolutionary in their day, are not a definitive solution to the problem of finding the optimum proportions of a round brilliant cut diamond.
In the 1970s, Bruce Harding developed another mathematical model for gem design.
Since then, several groups have used computer models
and specialized scopes to design diamond cuts.
The world's top diamond-cutting and -polishing center is India. It processes 11 out of 12 diamonds in jewelry worldwide. The sector employs 1.3 million people and accounts for 14% of India's $80 billion of annual exports. Its share in the world polished diamond market is 92% by pieces and 55% by value.
Theory
In its rough state, a diamond is fairly unremarkable in appearance. Most gem diamonds are recovered from secondary or
alluvial
Alluvium (, ) is loose clay, silt, sand, or gravel that has been deposited by running water in a stream bed, on a floodplain, in an alluvial fan or beach, or in similar settings. Alluvium is also sometimes called alluvial deposit. Alluvium is ...
deposits, and such diamonds have dull, battered external surfaces often covered by a gummy, opaque skin—a comparison to "lumps of
washing soda
Sodium carbonate (also known as washing soda, soda ash, sal soda, and soda crystals) is the inorganic compound with the formula and its various hydrates. All forms are white, odourless, water-soluble salts that yield alkaline solutions in water ...
" is apt. The act of polishing a diamond and creating flat facets in symmetrical arrangement brings out the diamond's hidden beauty in dramatic fashion.
When designing a diamond cut, two primary factors are considered. Foremost is the
refractive index
In optics, the refractive index (or refraction index) of an optical medium is the ratio of the apparent speed of light in the air or vacuum to the speed in the medium. The refractive index determines how much the path of light is bent, or refrac ...
(RI) of a diamond, which, at 2.417 (as measured by
sodium light, 589.3
nm), is fairly high compared with that of most other gems. Diamond's RI is responsible for its brilliance—the amount of
incident light reflected back to the viewer. Also important is a diamond's
dispersive power—the ability of the material to split white light into its component
spectral color
A spectral color is a color that is evoked by monochromatic light, i.e. either a spectral line with a single wavelength or frequency of light in the visible spectrum, or a relatively narrow spectral band (e.g. lasers). Every wave of visible ...
s—which is also relatively high, at 0.044 (as measured from the B-G interval). The flashes of spectral colors—known as fire—are a function of this dispersion, but are, like brilliance, only apparent after cutting.
Brilliance can be divided into the definitions external brilliance and internal brilliance. The former is the light
reflected
Reflection is the change in direction of a wavefront at an interface between two different media so that the wavefront returns into the medium from which it originated. Common examples include the reflection of light, sound and water waves. The ...
from the surface of the stone—its
luster. Diamond's ''adamantine'' ("diamond-like") luster is second only to
metal
A metal () is a material that, when polished or fractured, shows a lustrous appearance, and conducts electrical resistivity and conductivity, electricity and thermal conductivity, heat relatively well. These properties are all associated wit ...
lic (i.e., that of
metal
A metal () is a material that, when polished or fractured, shows a lustrous appearance, and conducts electrical resistivity and conductivity, electricity and thermal conductivity, heat relatively well. These properties are all associated wit ...
s); while it is directly related to RI, the quality of a finished gem's polish determines how well a diamond's luster is borne out.
Internal brilliance—the percentage of incident light reflected back to the viewer from the rear (pavilion) facets—relies on careful consideration of a cut's interfacial angles as they relate to diamond's RI. The goal is to attain
total internal reflection
In physics, total internal reflection (TIR) is the phenomenon in which waves arriving at the interface (boundary) from one medium to another (e.g., from water to air) are not refracted into the second ("external") medium, but completely refl ...
(TIR) by choosing the crown angle and pavilion angle (the angle formed by the pavilion facets and girdle plane) such that the reflected light's
angle of incidence (when reaching the pavilion facets) falls outside diamond's critical angle, or minimum angle for TIR, of 24.4°. Two observations can be made: if the pavilion is too shallow, light meets the pavilion facets within the critical angle, and is refracted (i.e., lost) through the pavilion bottom into the air. If the pavilion is too deep, light is initially reflected outside the critical angle on one side of the pavilion, but meets the opposite side within the critical angle and is then refracted out the side of the stone.
The term scintillation brilliance is applied to the number and arrangement of light reflections from the internal facets; that is, the degree of "sparkle" seen when the stone or observer moves. Scintillation is dependent on the size, number, and symmetry of facets, as well as on quality of polish. Tiny stones appear milky if their scintillation is too great (due to the limitations of the
human eye
The human eye is a sensory organ in the visual system that reacts to light, visible light allowing eyesight. Other functions include maintaining the circadian rhythm, and Balance (ability), keeping balance.
The eye can be considered as a living ...
), whereas larger stones appear lifeless if their facets are too large or too few.
A diamond's fire is determined by the cut's crown height and crown angle (the crown being the top half of the stone, above the girdle), and the size and number of facets that compose it. The crown acts as a
prism: light exiting the stone (after reflection from the pavilion facets) should meet the crown facets at as great an angle of incidence from the
normal as possible (without exceeding the critical angle) in order to achieve the greatest fanning out or spread of spectral colors. The crown height is related to the crown angle, the crown facet size, and the table size (the largest central facet of the crown): a happy medium is sought in a table that is not too small (resulting in larger crown facets and greater fire at the expense of brilliance) or too large (resulting in smaller crown facets and little to no fire).
Polish and symmetry
Polish and symmetry are two important aspects of the cut. The polish describes the smoothness of the diamond's facets, and the symmetry refers to alignment of the facets. With poor polish, the surface of a facet may be scratched or dulled, and may cause a blurred or dulled sparkle. While most polish defects are a result of the cutting process, some surface flaws are a result of defects in the natural stone. One example is grain lines (produced when irregular crystallization occurs as a diamond is formed) running across the facet. Severe polish defects may cause the diamond to constantly look like it needs to be cleaned. With poor symmetry, light can be misdirected as it enters and exits the diamond.
Choice of cut

The choice of diamond cut is often decided by the original shape of the rough stone, location of internal flaws or inclusions, the preservation of
carat weight, and popularity of certain shapes among consumers. The
cutter must consider each of these variables before proceeding.
Most gem-quality diamond
crystal
A crystal or crystalline solid is a solid material whose constituents (such as atoms, molecules, or ions) are arranged in a highly ordered microscopic structure, forming a crystal lattice that extends in all directions. In addition, macros ...
s are
octahedra in their rough state (see
material properties of diamond
Diamond is the allotrope of carbon in which the carbon atoms are arranged in the specific type of cubic lattice called diamond cubic. It is a crystal that is transparent to opaque and which is generally isotropic (no or very weak birefringen ...
). These crystals are usually cut into
round brilliants because it is possible to cut two such stones out of one octahedron with minimal loss of weight. If the crystal is malformed or
twinned, or if inclusions are present at inopportune locations, the diamond is more likely to receive a
fancy cut (a cut other than a round brilliant). This is especially true in the case of
macle
Macle is a term used in crystallography. It is a crystalline form, twin-crystal or double crystal (such as chiastolite). It is crystallographic twin according to the spinel twin law and is seen in octahedral crystals or minerals such as dia ...
, which are flattened twin octahedron crystals. Round brilliants have certain
requisite proportions that would result in high weight loss, whereas fancy cuts are typically much more flexible in this regard. The choice of diamond cut is influenced not only by the stone's characteristics but also by cultural and symbolic meanings associated with specific shapes, such as the romantic symbolism of the Heart cut or the elegance of the Pear shape. Sometimes the cutters compromise and accept lesser proportions and symmetry in order to avoid inclusions or to preserve carat weight, since the per-carat price of diamond is much higher when the stone is over one carat (200
mg).
While the round brilliant cut is considered standard for diamond, with its shape and proportions nearly constant, the choice of fancy cut is influenced heavily by fashion. For example, the
step cut baguette—which accentuates a diamond's
luster, whiteness, and
clarity
Clarity may refer to:
Music Albums
* ''Clarity'' (Jimmy Eat World album) or the title song, 1999
* ''Clarity'' (Sifow album) or the title song, 2006
* ''Clarity'' (Zedd album) or the title song (see below), 2012
* ''Clarity'' (mixtape), by K ...
but downplays its fire—was all the rage during the
Art Deco
Art Deco, short for the French (), is a style of visual arts, architecture, and product design that first Art Deco in Paris, appeared in Paris in the 1910s just before World War I and flourished in the United States and Europe during the 1920 ...
period, whereas the
mixed Princess cut—which accentuates a diamond's fire and brilliance rather than its luster—began being used during the 1960s and really gained populraity in the 80s.
The princess cut is also popular among diamond cutters because, of all the cuts, it wastes the least of the original crystal. Older diamonds cut before ca. 1900 were cut in "primitive" versions of the modern round brilliant, such as the rose cut (also called "rose diamonds") and old mine cut (see
History
History is the systematic study of the past, focusing primarily on the Human history, human past. As an academic discipline, it analyses and interprets evidence to construct narratives about what happened and explain why it happened. Some t ...
section). Although there is a market for
antique
An antique () is an item perceived as having value because of its aesthetic or historical significance, and often defined as at least 100 years old (or some other limit), although the term is often used loosely to describe any object that i ...
stones, many are recut into modern brilliants to increase their marketability. There is also increasing demand for diamonds to be cut in older styles for the purpose of repairing or reproducing antique
jewelry
Jewellery (or jewelry in American English) consists of decorative items worn for personal adornment such as brooches, ring (jewellery), rings, necklaces, earrings, pendants, bracelets, and cufflinks. Jewellery may be attached to the body or the ...
.
The size of a diamond may also be a factor. Tiny (< 0.02 carats
mg diamonds—known as ''melée''—are usually given simplified cuts (i.e., with fewer
facet
Facets () are flat faces on geometric shapes. The organization of naturally occurring facets was key to early developments in crystallography, since they reflect the underlying symmetry of the crystal structure. Gemstones commonly have facets cu ...
s). This is because a full-cut brilliant of such small size would appear milky to the
human eye
The human eye is a sensory organ in the visual system that reacts to light, visible light allowing eyesight. Other functions include maintaining the circadian rhythm, and Balance (ability), keeping balance.
The eye can be considered as a living ...
, owing to its inability to resolve the stone's dispersive fire. Conversely, large diamonds are usually given fancy cuts with many extra facets. Conventional round brilliant or fancy cuts do not scale up satisfactorily, so the extra facets are needed to ensure there are no "dead spots". Because large diamonds are less likely to be set in jewelry, their cuts are considered for how well they display the diamonds' properties from a wide range of viewing directions; in the case of more moderate-sized diamonds, the cuts are considered primarily for their face-up appeal.
The dominating round brilliant diamonds are not as trendy as they used to be since the market was overcrowded in the last decades of the century. Simultaneously, giving a fancy diamond cut as a precious jewel on specific celebrations became a part of
tradition
A tradition is a system of beliefs or behaviors (folk custom) passed down within a group of people or society with symbolic meaning or special significance with origins in the past. A component of cultural expressions and folklore, common e ...
. A Heart cut diamond has romantic symbolism, so it is a common gift for
Valentine's Day
Valentine's Day, also called Saint Valentine's Day or the Feast of Saint Valentine, is celebrated annually on February 14. It originated as a Christian feast day honoring a Christian martyrs, martyr named Saint Valentine, Valentine, and ...
or a
wedding anniversary
A wedding anniversary is the anniversary of the date that a wedding took place. Couples often mark the occasion by celebrating their relationship, either privately or with a larger party. Special celebrations and gifts are often given for partic ...
. Pear-shaped diamonds look like drops of water, and the shape is suitable for diamond
earring
Earrings are jewelry that can be worn on one's ears. Earrings are commonly worn in a piercing in the earlobe or another external part of the ear, or by #Clip-on and other non-pierced earrings, some other means, such as stickers or clip-ons. Earr ...
s. The most famous shapes are: Princess, Cushion, Heart, Pear, Marquise, Radiant, Asscher cut, Emerald, Oval.
Round brilliant
Developed c. 1900, the round
brilliant is the most popular cut given to diamond. It is usually the best choice in terms of saleability,
insurability (due to its relatively "safe" shape), and desired optics.
Facet count and names
The modern round brilliant (Figure 1 and 2) consists of 58 facets (or 57 if the
culet
In gemology, a culet is a flat face on the bottom of a gemstone.
During the 14th century, after the adoption of the table cut, a further facet was added to the bottom of the cut parallel to the surface of the table. The term used for these b ...
is excluded); 33 on the crown (the top half above the middle or girdle of the stone) and 25 on the pavilion (the lower half below the girdle). The girdle may be frosted, polished smooth, or faceted. In recent decades, most girdles are faceted; many have 32, 64, 80, or 96 facets; these facets are excluded from the total facet count. Likewise, some diamonds may have small extra facets on the crown or pavilion that were created to remove surface imperfections during the
diamond cutting
Diamond cutting is the practice of shaping a Diamond (gemstone), diamond from a rough stone into a faceted gem. Cutting diamonds requires specialized knowledge, tools, equipment, and techniques because of its extreme difficulty.
The first guild ...
process. Depending on their size and location, they may hurt the
symmetry
Symmetry () in everyday life refers to a sense of harmonious and beautiful proportion and balance. In mathematics, the term has a more precise definition and is usually used to refer to an object that is Invariant (mathematics), invariant und ...
of the cut and are therefore considered during
cut grading.
Figure 1 assumes that the "thick part of the girdle" is the same thickness at all 16 "thick parts". It does not consider the effects of indexed upper girdle facets. Figure 2 is adapted from the Tolkowsky book, originally published in 1919. Since 1919, the lower girdle facets have become longer. As a result, the pavilion main facets have become narrower.
Proportions
While the facet count is standard, the actual proportions—crown height and crown angle, pavilion depth and pavilion angle, and table size—are not universally agreed upon. There are at least six "ideal cuts" that have been devised over the years, but only three are in common use as a means of benchmarking. Developed by
Marcel Tolkowsky in 1919, the American Standard (also known as the American Ideal and Tolkowsky Brilliant) is the benchmark in North America. It was derived from mathematical calculations that considered both brilliance and fire. The benchmark in Germany and other European countries is the Practical Fine Cut (, also known as the Eppler Cut), introduced in 1939. It was developed in Germany by empirical observations and differs only slightly from the American Standard. Introduced as part of the
Scandinavian Diamond Nomenclature (Scan. D. N.) in 1969, the Scandinavian Standard also differs slightly.
Other benchmarks include: the Ideal Brilliant (developed in 1929 by Johnson and Roesch), the Parker Brilliant (1951), and the Eulitz Brilliant (1968) The Ideal and Parker brilliants are disused because their proportions result in (by contemporary standards) an unacceptably low brilliance. The Eulitz cut is the only other mathematically derived benchmark; it is also historically the only benchmark to consider girdle thickness. A more modern benchmark is that set by Accredited Gem Appraisers (AGA). Although their standard generally makes a modern ideal cut it has been criticised for being overly strict. A summary of the different benchmarks is given below:
Crown height, pavilion depth, and table diameter are percentages of the total girdle diameter. Because the pavilion angle (and consequently pavilion depth) is so closely tied to total internal reflection, it varies the least between the different standards.
Hearts and arrows phenomenon
The term "hearts and arrows" is used to describe the visual effect achieved in a round brilliant cut diamond with perfect symmetry and angles that exhibit a crisp and complete pattern of hearts and arrows. When viewed under a special magnifying viewer, a complete and precise visual pattern of eight hearts is seen while looking down through the pavilion, and eight arrows can be seen when viewing the stone in the table up position.
Passion cut
Another modification of the round ideal cut that maintains the basic proportions of its angles is the passion cut. This cut's design can be considered the opposite of the hearts and arrows, as it eliminates the arrows in order to capture a different light return from the center of the diamond. The cut splits the eight pavilion mains and increases the specifically-placed total facets from 57 to 81. The cut was designed to enhance brilliance and mask inclusions.
Fancy cuts
Even with modern techniques, the cutting and polishing of a diamond crystal always results in a dramatic loss of weight; rarely is it less than 50%. The round brilliant cut is preferred when the crystal is an octahedron, as often two stones may be cut from one such crystal.
Oddly-shaped crystals such as
macle
Macle is a term used in crystallography. It is a crystalline form, twin-crystal or double crystal (such as chiastolite). It is crystallographic twin according to the spinel twin law and is seen in octahedral crystals or minerals such as dia ...
s are more likely to be cut in a fancy cut (that is, a cut other than the round brilliant), which the particular crystal shape lends itself to. The prevalence and choice of a particular fancy cut is also influenced by fashion; generally speaking, these cuts are not held to the same strict standards as Tolkowsky-derived round brilliants. Most fancy cuts can be grouped into four categories: modified brilliants, step cuts, mixed cuts, and rose cuts.
Modified brilliants
This is the most populous category of fancy cut, because the standard round brilliant can be effectively modified into a wide range of shapes. Because their facet counts and facet arrangements are the same, modified brilliants also look (in terms of brilliance and fire interplay) the most like round brilliants.
Modified brilliants include the marquise (a prolate
lemon-shape, also called navette, which is
French for "little boat", because it resembles the hull of a sailboat), heart, triangular
trilliant (also trillian or trillion), oval, and the pear or drop cuts; these are the most commonly encountered modified brilliants.
Oval-shaped diamonds were introduced by Lazare Kaplan in the 1960s. Usually noted to have 56 facets, the weight of such diamonds is estimated by measuring the length and width of the stone. A ratio of 1.33 to 1.66 provides a good traditional range of oval-shaped diamonds.
Pear-shaped diamonds are also known as the teardrop shape owing to their resemblance and is considered as a hybrid between the marquise cut and the round brilliant diamond. The stone has one end rounded while the other end is pointed. Pear shape diamonds can opt between varying length and width ratios for the ideal looking pear-shaped diamond. Length to width ratios between 1.45 and 1.75 are most common.
Modern cutting technology has allowed the development of increasingly complex and hitherto unthinkable shapes, such as stars and butterflies. Their proportions are mostly a matter of personal preference; however, due to their sharp terminations and diamond's relative fragility, these cuts are more vulnerable to accidental breakage and may therefore be more difficult to
insure
Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to protect ...
.

There are several older modified brilliant cuts of uncertain age that, while no longer widely used, are notable for history's sake. They are all round in outline and modify the standard round brilliant by adding facets and changing symmetry, either by dividing the standard facets or by placing new ones in different arrangements. These cuts include: the King and Magna cuts, both developed by
New York City
New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...
firms, with the former possessing 86 facets and 12-fold symmetry and the latter with 102 facets and 10-fold symmetry; the High-Light cut, developed by
Belgian cutter M. Westreich, with 16 additional facets divided equally between the crown and pavilion; and the Princess 144, introduced in the 1960s, with 144 facets and 8-fold symmetry. Not to be confused with the
mixed Princess cut, the Princess 144 cut makes for a lively stone with good scintillation; the extra facets are cut under the girdle rather than subdivided. The extra care required for these sub-girdle facets benefits the finished stone by mitigating girdle irregularity and bearding (hairline fracturing).
Today, with the increased understanding of light dynamics and diamond cutting, many companies have developed new, modified round brilliant cut diamonds. If designed correctly, these extra facets of the modified round brilliant could benefit the overall beauty of a diamond, such as in 91 facet diamonds.
Step cuts
Stones whose outlines are either square or rectangular and whose facets are rectilinear and arranged parallel to the girdle are known as step- or trap-cut stones. These stones often have their corners truncated, creating an emerald cut (after its most common application to
emerald
Emerald is a gemstone and a variety of the mineral beryl (Be3Al2(SiO3)6) colored green by trace amounts of chromium or sometimes vanadium.Hurlbut, Cornelius S. Jr., and Kammerling, Robert C. (1991). ''Gemology'', John Wiley & Sons, New York ...
gemstones) with an octagonal outline. This is done because sharp corners are points of weakness where a diamond may cleave or fracture. Instead of a culet, step-cut stones have a keel running the length of the pavilion terminus. Like other fancy shaped diamonds, emerald cut diamonds can come in a variety of length to width ratios. The most popular and classic outline of emerald cut diamonds are close a value of 1.5.
The Asscher cut, a square modified emerald cut, is also popular.
Because both the pavilion and crown are comparatively shallow, step cut stones are generally not as bright and never as fiery as brilliant cut stones, but rather accentuate a diamond's
clarity
Clarity may refer to:
Music Albums
* ''Clarity'' (Jimmy Eat World album) or the title song, 1999
* ''Clarity'' (Sifow album) or the title song, 2006
* ''Clarity'' (Zedd album) or the title song (see below), 2012
* ''Clarity'' (mixtape), by K ...
(as even the slightest flaw would be highly visible), whiteness, and
lustre (and therefore good polish).
Due to the current vogue, starting in the mid 1900s,
for brilliant and brilliant-like cuts, step cut diamonds may suffer somewhat in value; stones that are deep enough may be re-cut into more popular shapes. However, the step cut's rectilinear form was popular in the
Art Deco
Art Deco, short for the French (), is a style of visual arts, architecture, and product design that first Art Deco in Paris, appeared in Paris in the 1910s just before World War I and flourished in the United States and Europe during the 1920 ...
period.
Antique
An antique () is an item perceived as having value because of its aesthetic or historical significance, and often defined as at least 100 years old (or some other limit), although the term is often used loosely to describe any object that i ...
jewelry of the period features step-cut stones prominently, and there is a market in producing new step-cut stones to repair antique jewelry or to reproduce it. The slender, rectangular baguette (from the
French, resembling a loaf of bread) was and is the most common form of the step cut: today, it is most often used as an accent stone to flank a ring's larger central (and usually brilliant-cut) stone.
Square step cuts whose corners are not truncated are known as carré; they are also characteristic of antique jewelry. They may resemble the square-shaped Princess cut in passing, but a carré's lack of fire and simpler facets are distinctive. They may or may not have a culet. In Western jewelry dating to before the advent of brilliant-type cuts, shallow step-cut stones were used as lustrous covers for miniature paintings: these are known in the antique trade as portrait stones. Characteristic of
India
India, officially the Republic of India, is a country in South Asia. It is the List of countries and dependencies by area, seventh-largest country by area; the List of countries by population (United Nations), most populous country since ...
n jewelry are lasque diamonds, which may be the earliest form of step cut. They are flat stones with large tables and asymmetric outlines.
Other forms of the step cut include triangle (or
Trilliant cut), kite, lozenge, trapeze (or trapezoid), and obus shapes.
Mixed cuts
Mixed cuts share aspects of both (modified) brilliant and step cuts: they are meant to combine the weight preservation and dimensions of step cuts with the optical effects of brilliants. Typically the crown is brilliant cut and the pavilion step-cut. Mixed cuts are all relatively new, with the oldest dating back to the 1960s. They have been extremely successful commercially and continue to gain popularity, loosening the foothold of the ''de facto'' standard round brilliant.

Among the first mixed cuts was the Barion cut, introduced in 1971. Invented by
South Africa
South Africa, officially the Republic of South Africa (RSA), is the Southern Africa, southernmost country in Africa. Its Provinces of South Africa, nine provinces are bounded to the south by of coastline that stretches along the Atlantic O ...
n diamond cutter
Basil Watermeyer and named after himself and his wife Marion, the basic Barion cut is an octagonal square or rectangle, with a polished and faceted girdle. The total facet count is 62 (excluding the culet): 25 on the crown; 29 on the pavilion; and 8 on the girdle. This cut can be easily identified by the characteristic central
cross
A cross is a religious symbol consisting of two Intersection (set theory), intersecting Line (geometry), lines, usually perpendicular to each other. The lines usually run vertically and horizontally. A cross of oblique lines, in the shape of t ...
pattern (as seen through the table) created by the pavilion facets, as well as by the
crescent
A crescent shape (, ) is a symbol or emblem used to represent the lunar phase (as it appears in the northern hemisphere) in the first quarter (the "sickle moon"), or by extension a symbol representing the Moon itself.
In Hindu iconography, Hind ...
-shaped facets on the pavilion. A similar cut is the Radiant cut: It differs in having a total of 70 facets. Both it and the Barion cut exist in a large number of modified forms, with slightly different facet arrangements and combinations.
The most successful mixed cut is the
Princess cut, first introduced in 1960 by A. Nagy of
London
London is the Capital city, capital and List of urban areas in the United Kingdom, largest city of both England and the United Kingdom, with a population of in . London metropolitan area, Its wider metropolitan area is the largest in Wester ...
. It was originally intended for flat rough (macles), but has since become popular enough that some
gemological labs, such as that of the
American Gem Society (AGS), have developed Princess cut grading standards with stringency akin to standards applied to round brilliants. Its higher fire and brilliance compared to other mixed cuts is one reason for the Princess cut's popularity, but more importantly is the fact that, of all the diamond cuts, it wastes the least of the original crystal. Another cut is the Flanders cut, a modified square with cut corners, brilliant facets.
Rose and mogul cuts

Various forms of the rose cut have been in use since the mid-16th century. Like the step cuts, they were derived from
older types of cuts. The basic rose cut has a flat base—that is, it lacks a pavilion—and has a crown composed of triangular facets (usually 12 or 24) rising to form a point (there is no table facet) in an arrangement with sixfold
rotational symmetry
Rotational symmetry, also known as radial symmetry in geometry, is the property a shape (geometry), shape has when it looks the same after some rotation (mathematics), rotation by a partial turn (angle), turn. An object's degree of rotational s ...
. The so-called double rose cut is a variation that adds six kite facets at the margin of the base. The classic rose cut is circular in outline; non-circular variations on the rose cut include the briolette (oval), Antwerp rose (hexagonal), and double Dutch rose (resembling two rose cuts united back-to-back). Rose-cut diamonds are seldom seen nowadays, except in antique jewelry. Like the older style brilliants and step cuts, there is a growing demand for the purpose of repairing or reproducing antique pieces.
Related to the rose cut, and of similar antiquity, is the mogul cut, named after the
Great Mogul diamond that was the most famous example of its type. Like the classic rose cut, the mogul cut also lacks a pavilion and a table facet, and its crown is also composed of triangular facets rising to form a point. But in mogul-cut diamonds the rotational symmetry is normally fourfold or eightfold, and the eight apical facets are girded by two or more additional rings of facets. The modern mogul cut evolved from earlier faceting techniques originally used to disguise internal flaws in large stones;
in the modern day this cut has also become rare, but still finds occasional use where it is less important to showcase a stone's internal
clarity
Clarity may refer to:
Music Albums
* ''Clarity'' (Jimmy Eat World album) or the title song, 1999
* ''Clarity'' (Sifow album) or the title song, 2006
* ''Clarity'' (Zedd album) or the title song (see below), 2012
* ''Clarity'' (mixtape), by K ...
, as with the black and internally opaque
Spirit of de Grisogono Diamond.
Cut grading
The "Cut" of the "
4 Cs
Diamond is a gemstone formed by diamond cut, cutting a raw diamond. Diamonds have high monetary value as one of the best-known and most sought-after gems, and they have been used as decorative items since ancient times.
The hardness of diamond ...
" is the most difficult part for a consumer to judge when selecting a good diamond. This is because some certificates do not show the important measurements influencing cut (such as the pavilion angle and crown angle) and do not provide a subjective ranking of how good the cut was. The other three Cs can be ranked simply by the rating in each category. It requires a trained eye to judge the quality of a diamond cut, and the task is complicated by the fact that different standards are used in different countries (see
proportions of the round brilliant).
The relationship between the crown angle and the pavilion angle has the greatest effect on the look of the diamond. A slightly steep pavilion angle can be complemented by a shallower crown angle, and vice versa. This trade-off has been quantified by independent authors, using various approaches.
Other proportions also affect the look of the diamond:
*The table ratio is significant.
*The length of the lower girdle facets affects whether Hearts and arrows can be seen in the stone, under certain viewers.
**Most round brilliant diamonds have roughly the same girdle thickness at all 16 "thick parts".
**So-called "cheated" girdles have thicker girdles where the main facets touch the girdle than where adjacent upper girdle facets touch the girdle. These stones weigh more (for a given diameter, average girdle thickness, crown angle, pavilion angle, and table ratio), and have worse optical performance (their upper girdle facets appear dark in some lighting conditions).
**So-called "painted" girdles have thinner girdles where the main facets touch the girdle than where adjacent upper girdle facets touch the girdle. These stones have less light leakage at the edge of the stone (for a given crown angle, pavilion angle, and table ratio).
Several groups have developed diamond cut grading standards. They all disagree somewhat on which proportions make the best cut. There are certain proportions that are considered best by two or more groups however.
*The AGA standards may be the strictest at the upper range of quality. David Atlas developed the AGA standards in the 1990s for all standard diamond shapes.
*The HCA changed several times between 2001 and 2004. As of 2004, an HCA score below two represented an excellent cut. The HCA distinguishes between brilliant, Tolkowsky, and fiery cuts.
*The AGS standards changed in 2005 to better match Tolkowsky's model and Octonus' ray tracing results. The 2005 AGS standards penalize stones with "cheated" girdles. They grade from 0 to 10, with ranges corresponding to single descriptive words: Ideal (0), Excellent (1), Very Good (2), Good (3-4), Fair (5-7), Poor (8-10).
*The GIA began grading cut on every grading report for round brilliant beginning in 2006
based on their comprehensive study of 20,000 proportions with 70,000 observations of 2,000 diamonds. The single descriptive words are as follows: Excellent, Very Good, Good, Fair, and Poor.
The distance from the viewer's eye to the diamond is important. The 2005 AGS cut standards are based on a distance of 25 centimeters (about 10 inches). The 2004 HCA cut standards are based on a distance of .
*Various labs around the world are using
ImaGem's VeriGem device to measure light behavior. DGLA in the US and Mumbai, India, PGGL in the US and EGL-USA are both offering versions of this grading in 2008. DGLA has graded thousands of diamonds with this promising direct assessment technology.
*"Brilliancescope" by Gemex is another assessment light behavior technology in use by many US and now foreign retailers and diamond cutters.
Effect of cut on other diamond characteristics
During the diamond-cutting process, the diamond cutter wants to get the heaviest diamond out of a rough stone. However, this can come at the cost of lowering cut grade. If a diamond is too deep, the carat weight increases with a loss of brilliance due to light leakage. Diamond cutters have to contend with working a stone to its best finished form with the least amount of waste. This strategy depends on the quality of the stone and its final proportions. If two diamonds of equal weight are inspected there can be a noticeable difference in size when viewed from above; arguably the most important view. A well-cut 0.90ct diamond, for example, could have the same width as a poorly cut 1.00ct diamond. This phenomenon is known as spread.
Cut also affects the color of a diamond. This is especially important when considering fancy colored diamonds, where the slightest shift in color could vastly affect the price of the diamond. Most fancy colored diamonds are not cut in to round brilliants, because whereas the round brilliant is prized for its ability to reflect white light, the most important characteristic in a fancy colored diamond is its color, not its ability to reflect white light.
See also
*
List of gemstone cuts
*
Brilliant (diamond cut)
*
Cut (gems)
*
Diamond clarity
*
Diamond color
A chemically pure and structurally perfect diamond (gemstone), diamond is perfectly transparent with no hue, or color. However, in reality almost no gem-sized natural diamonds are absolutely perfect. The color of a diamond may be affected by colo ...
*
Diamond cutting
Diamond cutting is the practice of shaping a Diamond (gemstone), diamond from a rough stone into a faceted gem. Cutting diamonds requires specialized knowledge, tools, equipment, and techniques because of its extreme difficulty.
The first guild ...
*
Diamond enhancement
*
Diamond simulant
A diamond simulant, diamond imitation or imitation diamond is an object or material with gemology, gemological characteristics similar to those of a diamond. Simulants are distinct from synthetic diamonds, which are actual diamonds exhibiting t ...
*
Famous diamonds
*
Material properties of diamond
Diamond is the allotrope of carbon in which the carbon atoms are arranged in the specific type of cubic lattice called diamond cubic. It is a crystal that is transparent to opaque and which is generally isotropic (no or very weak birefringen ...
*
Synthetic diamond
A synthetic diamond or laboratory-grown diamond (LGD), also called a lab-grown, laboratory-created, man-made, artisan-created, artificial, or cultured diamond, is a diamond that is produced in a controlled technological process, in contrast to ...
References
Further reading
A History of Diamond Cutting Antique Jewelry University.
* Blodgett, Troy; et al. (GIA) (2006)
Painting and Digging Out, GIA article 2006.
* Bruton, Eric. (1979). ''Diamonds'', 2nd ed.
Chilton Book Co.
* Cipriani, Curzio, Borelli, Alessandro, and Lyman, Kennie (US ed.) (1986). ''Simon & Schuster's Guide to Gems and Precious Stones'', pp. 58–68. New York: Simon & Schuster. .
* Holloway, Garry (2000–2004)
HCA: defining ideal cut diamondsis a detailed explanation of the "Holloway Cut Adviser". A web service that uses this software i
available
*Malecka, Anna (2017). Naming of the Koh-i-Noor and the Origin of Mughal-Cut Diamonds, The Journal of Gemmology, no. 4. 38(8).
OctoNus Softwarehas posted several diamond cut studies, by various authors. OctoNus, Moscow State University, Bruce Harding, and others have posted work there.
* Pagel-Theisen, Verena. (2001). ''Diamond grading ABC: The manual'' (9th ed.), pp. 176–268. Rubin & Son n.v.; Antwerp, Belgium. {{ISBN, 3-9800434-6-0}
* Ware, J. W. (1936). ''New Diamond Cuts Break More Easily'', pp. 4.
Gemological Institute of America
The Gemological Institute of America (GIA) is a nonprofit institute based in Carlsbad, California. It is dedicated to research and education in the field of gemology and the jewelry arts. Founded in 1931, GIA's mission is to protect buyers and s ...
, USA, Vol. 2, No. 4 (Winter 1936)