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A diamond cut is a style or design guide used when shaping a
diamond Diamond is a solid form of the element carbon with its atoms arranged in a crystal structure called diamond cubic. Another solid form of carbon known as graphite is the chemically stable form of carbon at room temperature and pressure, b ...
for polishing such as the brilliant cut. Cut does not refer to shape (pear, oval), but the symmetry, proportioning and polish of a diamond. The cut of a diamond greatly affects a diamond's brilliance; this means if it is cut poorly, it will be less luminous. In order to best use a diamond
gemstone A gemstone (also called a fine gem, jewel, precious stone, or semiprecious stone) is a piece of mineral crystal which, in cut and polished form, is used to make jewelry or other adornments. However, certain rocks (such as lapis lazuli, opal, ...
's material properties, 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 cut ...
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, macro ...
. 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 late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire ...
, while their theoretical basis was not developed until the turn of the 20th century. 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" is an acronym for "light amplification by stimulated emission of radiation". The ...
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 co ...
—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 Brilliant may refer to: Music * ''Brilliant'' (album), a 2012 album by Ultravox *Brilliant (band), a British pop/rock group active in the 1980s * "Brilliant" (song), a song by D'espairsRay *Brilliant Classics, Dutch classical music record label * ...
, whose facet arrangements and proportions have been perfected by both
mathematical Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
and
empirical Empirical evidence for a proposition is evidence, i.e. what supports or counters this proposition, that is constituted by or accessible to sense experience or experimental procedure. Empirical evidence is of central importance to the sciences and ...
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 physiographical region in Southern Asia. It is situated on the Indian Plate, projecting southwards into the Indian Ocean from the Himalayas. Geopolitically, it includes the countries of Bangladesh, Bhutan, In ...
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 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.


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 late 5th to the late 15th centuries, similar to the post-classical period of global history. It began with the fall of the Western Roman Empire ...
, before which time diamonds were employed in their natural octahedral 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 In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet a ...
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 area. The earliest types of guild formed as organizations of tradesmen belonging to a professional association. They sometim ...
of diamond polishers at
Nürnberg Nuremberg ( ; german: link=no, Nürnberg ; in the local East Franconian dialect: ''Nämberch'' ) is the second-largest city of the German state of Bavaria after its capital Munich, and its 518,370 (2019) inhabitants make it the 14th-largest ...
. 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 {{inline, date=November 2022 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 tab ...
was also realised, 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 Dispersion may refer to: Economics and finance *Dispersion (finance), a measure for the statistical distribution of portfolio returns *Price dispersion, a variation in prices across sellers of the same item *Wage dispersion, the amount of variatio ...
or ''fire''. At the time, diamond was valued chiefly for its
adamantine lustre Lustre (British 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 generally im ...
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 A 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 ...
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, chromium, vanadium, or magnesium. The name sapphire is derived via the Latin "sa ...
were far more popular in jewelry of the era. In or around 1476, Lodewyk (Louis) van Berquem, a
Flemish Flemish (''Vlaams'') is a Low Franconian dialect cluster of the Dutch language. It is sometimes referred to as Flemish Dutch (), Belgian Dutch ( ), or Southern Dutch (). Flemish is native to Flanders, a historical region in northern Belgium; ...
polisher of
Bruges Bruges ( , nl, Brugge ) is the capital and largest City status in Belgium, city of the Provinces of Belgium, province of West Flanders in the Flemish Region of Belgium, in the northwest of the country, and the sixth-largest city of the countr ...
, introduced the technique of absolute symmetry in the disposition of facets using a device of his own invention, the
scaif Scaif is a polishing wheel infused with a mixture of olive oil and diamond dust used in the diamond cutting industry. It was invented in 1456 by Lodewyk van Bercken. With the scaif, it became possible to polish all the facets of the diamond symm ...
. He cut stones in the shape known as ''pendeloque'' or ''briolette''; 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 (; nl, Antwerpen ; french: Anvers ; es, Amberes) is the largest city in Belgium by area at and the capital of Antwerp Province in the Flemish Region. With a population of 520,504,
: 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
India India, officially the Republic of India (Hindi: ), 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 and dependencies by population, second-most populous ...
n diamonds of old (such as the Orloff and
Sancy The Sancy, a pale yellow diamond of , was once reputed to have belonged to the Mughals of antiquity, but it is more likely of Indian origin owing to its cut, which is unusual by Western standards. The stone has been owned by a number of import ...
) also feature a rose-like cut; there is some suggestion that Western cutters were influenced by Indian stones, because some of these diamonds may predate the Western adoption of the rose cut. However, Indian "rose cuts" were far less symmetrical as their cutters had the primary interest of conserving carat weight, due to the divine status of diamond in India. In either event, the rose cut continued to evolve, with its depth, number and arrangements of facets being tweaked. The first
brilliant Brilliant may refer to: Music * ''Brilliant'' (album), a 2012 album by Ultravox *Brilliant (band), a British pop/rock group active in the 1980s * "Brilliant" (song), a song by D'espairsRay *Brilliant Classics, Dutch classical music record label * ...
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 Venetian often means from or related to: * Venice, a city in Italy * Veneto, a region of Italy * Republic of Venice (697–1797), a historical nation in that area Venetian and the like may also refer to: * Venetian language, a Romance language s ...
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. Sometime later the ''old European cut'' was developed, which had a shallower pavilion, more rounded shape, 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. Around 1900, the development of 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, and turning, with tools that are applied to the workpiece ...
s enabled the development of modern diamond cutting and diamond cuts, chief among them the ''round brilliant'' cut. In 1919,
Marcel Tolkowsky Marcel Tolkowsky (25 December 1899 – 10 February 1991), Obituary. an engineer by education, was a Belgian member of a Jewish family of diamond cutters from Poland. He is generally acknowledged as the father of the modern round brillia ...
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 (from Latin ''alluvius'', from ''alluere'' 'to wash against') 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. ...
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 and soda crystals) is the inorganic compound with the formula Na2CO3 and its various hydrates. All forms are white, odourless, water-soluble salts that yield moderately alkaline solutions ...
" 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 a dimensionless number that gives the indication of the light bending ability of that medium. The refractive index determines how much the path of light is bent, ...
(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 Incident may refer to: * A property of a graph in graph theory * ''Incident'' (film), a 1948 film noir * Incident (festival), a cultural festival of The National Institute of Technology in Surathkal, Karnataka, India * Incident (Scientology), a ...
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 single wavelength of light in the visible spectrum, or by a relatively narrow band of wavelengths (e.g. lasers). Every wavelength of visible light is perce ...
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 from the surface of the stone—its '' luster''. Diamond's ''adamantine'' ("diamond-like") luster is second only to ''
metal A metal (from ancient Greek, Greek μέταλλον ''métallon'', "mine, quarry, metal") is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electrical resistivity and conductivity, e ...
lic'' (i.e., that of
metal A metal (from ancient Greek, Greek μέταλλον ''métallon'', "mine, quarry, metal") is a material that, when freshly prepared, polished, or fractured, shows a lustrous appearance, and conducts electrical resistivity and conductivity, e ...
s); while it is directly related to RI, the quality of a finished gem's polish will determine 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 Total internal reflection (TIR) is the optical 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 reflect ...
(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. Very small stones will appear milky if their scintillation is too great (due to the limitations of the
human eye The human eye is a sensory organ, part of the sensory nervous system, that reacts to visible light and allows humans to use visual information for various purposes including seeing things, keeping balance, and maintaining circadian rhythm. ...
), whereas larger stones will 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 Normal(s) or The Normal(s) may refer to: Film and television * ''Normal'' (2003 film), starring Jessica Lange and Tom Wilkinson * ''Normal'' (2007 film), starring Carrie-Anne Moss, Kevin Zegers, Callum Keith Rennie, and Andrew Airlie * ''Norma ...
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 (which would result in larger crown facets and greater fire at the expense of brilliance) or too large (which would result 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, macro ...
s are
octahedra In geometry, an octahedron (plural: octahedra, octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet a ...
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 birefringence ...
). 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 {{no footnotes, date=April 2009 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 cryst ...
, 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. 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: Arts, entertainment, and media Fictional entities * Clarity, a magic spell in the online game ''EverQuest'' * Clarity, a fictional drug from the film '' Minority Report'' Music Albums * ''Clarity'' (Jimmy Eat World album) ...
but downplays its fire—was all the rage during the
Art Deco Art Deco, short for the French ''Arts Décoratifs'', and sometimes just called Deco, is a style of visual arts, architecture, and product design, that first appeared in France in the 1910s (just before World War I), and flourished in the Unit ...
period, whereas the mixed ''
Princess cut The princess cut (technical name 'square modified brilliant') is a diamond cut shape often used in engagement rings. The name dates back to the 1960s, while the princess cut as it exists was created by Betazel Ambar, Ygal Perlman, and Israel Itzk ...
''—which accentuates a diamond's fire and brilliance rather than its luster—is currently gaining popularity. 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'' and ''old mine cut'' (see
History History (derived ) is the systematic study and the documentation of the human activity. The time period of event before the invention of writing systems is considered prehistory. "History" is an umbrella term comprising past events as well ...
section). Although there is a market for
antique An antique ( la, antiquus; 'old', 'ancient') 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 ...
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 ( UK) or jewelry ( U.S.) consists of decorative items worn for personal adornment, such as brooches, rings, necklaces, earrings, pendants, bracelets, and cufflinks. Jewellery may be attached to the body or the clothes. From a w ...
. The size of a diamond may also be a factor. Very small (< 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 cut ...
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, part of the sensory nervous system, that reacts to visible light and allows humans to use visual information for various purposes including seeing things, keeping balance, and maintaining circadian rhythm. ...
, owing to its inability to resolve the stone's dispersive fire. Conversely, very 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 belief or behavior (folk custom) passed down within a group or society with symbolic meaning or special significance with origins in the past. A component of cultural expressions and folklore, common examples include holidays or ...
. 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 one or two early Christian martyrs named Saint Valentine and, thr ...
or
wedding anniversary A wedding anniversary is the anniversary of the date a wedding took place. Couples may take the occasion to celebrate their relationship, either privately or with a larger party. Special celebrations and gifts are often given for particular a ...
. The ''pear-shaped'' diamonds look like a drop of water and the shape is suitable for diamond
earrings An earring is a piece of jewelry attached to the ear via a piercing in the earlobe or another external part of the ear (except in the case of clip earrings, which clip onto the lobe). Earrings have been worn by people in different civilizations ...
. The most famous shapes are: ''Princess, Cushion, Heart, Pear, Marquise, Radiant, Asscher cut,
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, p ...
, Oval.''


Round brilliant

Developed ca. 1900, the ''round
brilliant Brilliant may refer to: Music * ''Brilliant'' (album), a 2012 album by Ultravox *Brilliant (band), a British pop/rock group active in the 1980s * "Brilliant" (song), a song by D'espairsRay *Brilliant Classics, Dutch classical music record label * ...
'' 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 {{inline, date=November 2022 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 tab ...
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 process. Depending on their size and location, they may hurt the
symmetry Symmetry (from grc, συμμετρία "agreement in dimensions, due proportion, arrangement") in everyday language refers to a sense of harmonious and beautiful proportion and balance. In mathematics, "symmetry" has a more precise definiti ...
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, which was 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 Marcel Tolkowsky (25 December 1899 – 10 February 1991), Obituary. an engineer by education, was a Belgian member of a Jewish family of diamond cutters from Poland. He is generally acknowledged as the father of the modern round brillia ...
in 1919, the ''American Standard'' (also known as the ''American Ideal'' and ''Tolkowsky Brilliant'') is the benchmark in
North America North America is a continent in the Northern Hemisphere and almost entirely within the Western Hemisphere. It is bordered to the north by the Arctic Ocean, to the east by the Atlantic Ocean, to the southeast by South America and th ...
. It was derived from mathematical calculations that considered both brilliance and fire. The benchmark in
Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated betwee ...
and other
Europe Europe is a large peninsula conventionally considered a continent in its own right because of its great physical size and the weight of its history and traditions. Europe is also considered a Continent#Subcontinents, subcontinent of Eurasia ...
an countries is the ''Practical Fine Cut'' (german: Feinschliff der Praxis, also known as the ''Eppler Cut''), introduced in 1939. It was developed in
Germany Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated betwee ...
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 very little. 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 & Arrows. When viewed under a special magnifying viewer, a complete and precise visual pattern of 8 hearts is seen while looking down through the pavilion, and 8 arrows can be seen when viewing the stone in the table up position.


The 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 macles 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 French (french: français(e), link=no) may refer to: * Something of, from, or related to France ** French language, which originated in France, and its various dialects and accents ** French people, a nation and ethnic group identified with Franc ...
for "little boat", because it resembles the hull of a sailboat), ''heart'', triangular ''trillion'' (also ''trillian'' or ''trilliant''), ''oval'', and the ''pear'' or ''drop'' cuts. These are the most commonly encountered modified brilliants; ''Oval-shaped diamonds'' have been created and introduced by Lazare Kaplan way back 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 hedge ...
. 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
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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
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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, p ...
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
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(as even the slightest flaw would be highly visible), whiteness, and lustre (and therefore good polish). Due to the current vogue 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 very popular in the
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period.
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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
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, 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, very shallow step-cut stones were used as lustrous covers for miniature paintings: these are known in the antique trade as ''portrait stones''. Characteristic of
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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 southernmost country in Africa. It is bounded to the south by of coastline that stretch along the South Atlantic and Indian Oceans; to the north by the neighbouring coun ...
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 geometrical figure consisting of two intersecting lines or bars, usually perpendicular to each other. The lines usually run vertically and horizontally. A cross of oblique lines, in the shape of the Latin letter X, is termed a s ...
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 in the first quarter (the "sickle moon"), or by extension a symbol representing the Moon itself. In Hinduism, Lord Shiva is often shown wearing a crescent moon on his ...
-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 The princess cut (technical name 'square modified brilliant') is a diamond cut shape often used in engagement rings. The name dates back to the 1960s, while the princess cut as it exists was created by Betazel Ambar, Ygal Perlman, and Israel Itzk ...
'', first introduced in 1960 by A. Nagy of
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. 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 The American Gem Society (AGS) is a trade association of retail jewelers, independent appraisers, suppliers, and selective industry members, which was founded in 1934 by Robert M. Shipley. The Society is based in Las Vegas, Nevada, along with t ...
(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 beautiful cut is the Flanders cut, a modified square with cut corners, brilliant facets and is currently being cut by cutters at Russian Star.


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 has when it looks the same after some rotation by a partial turn. An object's degree of rotational symmetry is the number of distinct orientations in which ...
. 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 Great Mogul is believed to have been discovered around 1650, most probably around the Kollur Mine in the Golconda region of southern India. Tavernier described the diamond thus: "The stone is of the same form as if one cut an egg through the ...
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 very 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
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, as with the black and internally opaque Spirit of de Grisogono Diamond.


Cut grading

The "Cut" of the "
4 Cs Diamond ''adámas'', meaning "unbreakable", "proper", or "unalterable" is one of the best-known and most sought-after gemstones. They have been used as decorative items since ancient times. The hardness of diamond and its high dispersion of li ...
" is the most difficult part for a consumer to judge when selecting a good diamond. This is because some certificates will not show the important measurements influencing cut (such as the pavilion angle and crown angle) and will not provide a subjective ranking of how good the cut was. The other 3 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 very significant. *The length of the lower girdle facets affects whether
Hearts and arrows Hearts and Arrows (H&A) diamonds are precision-cut variations of the traditional 57 faceted round brilliant cut. They are cut to "ideal" proportions with good optical symmetry, polish and a specific faceting pattern. When all these factors are p ...
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 40 centimeters (about 16 inches). *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 will increase but result in 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 When a gemstone is desired to be used in jewelry, it is cut depending on the size and shape of the rough stone, as well as the desired piece of jewelry to be made. As a general rule, a cut gemstone will reduce the mass (described in the carat) b ...
*
Brilliant (diamond cut) A brilliant is a diamond or other gemstone cut in a particular form with numerous facets so as to have exceptional brilliance. The shape resembles that of a cone and provides maximized light return through the top of the diamond. Even with mo ...
*
Cut (gems) When a gemstone is desired to be used in jewelry, it is cut depending on the size and shape of the rough stone, as well as the desired piece of jewelry to be made. As a general rule, a cut gemstone will reduce the mass (described in the carat) b ...
* Diamond clarity *
Diamond color A chemically pure and structurally perfect 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 chemical impurities ...
* Diamond cutting *
Diamond enhancement Diamond enhancements are specific treatments, performed on natural diamonds (usually those already cut and polished into gems), which are designed to improve the visual gemological characteristics of the diamond in one or more ways. These include ...
*
Diamond simulant A diamond simulant, diamond imitation or imitation diamond is an object or material with gemological characteristics similar to those of a diamond. Simulants are distinct from synthetic diamonds, which are actual diamonds exhibiting the same ...
* 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 birefringence ...
*
Princess cut The princess cut (technical name 'square modified brilliant') is a diamond cut shape often used in engagement rings. The name dates back to the 1960s, while the princess cut as it exists was created by Betazel Ambar, Ygal Perlman, and Israel Itzk ...
*
Synthetic diamond Lab-grown diamond (LGD; also called laboratory-grown, laboratory-created, man-made, artisan-created, artificial, synthetic, or cultured diamond) is diamond that is produced in a controlled technological process (in contrast to naturally formed ...


References


Further reading


Antique Jewelry University – A History of Diamond Cutting
*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. Simon & Schuster, Inc.; New York, New York. *Malecka, Anna (2017). Naming of the Koh-i-Noor and the Origin of Mughal-Cut Diamonds, The Journal of Gemmology, no. 4. 38(8). *Pagel-Theisen, Verena. (2001). ''Diamond grading ABC: The manual'' (9th ed.), pp. 176–268. Rubin & Son n.v.; Antwerp, Belgium.
OctoNus Software
has posted several diamond cut studies, by various authors. OctoNus, Moscow State University, Bruce Harding, and others have posted work there. *Holloway, Garry (2000-2004)
HCA: defining ideal cut diamonds
is a detailed explanation of the "Holloway Cut Adviser". A web service that uses this software i
available
*Blodgett, Troy; ''et al.'' (GIA) (2006)
Painting and Digging Out
, GIA article 2006. * 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 se ...
, USA, Vol. 2, No. 4 (Winter 1936) {{DEFAULTSORT:Diamond Cut Diamond Gemstone cutting