CROSS REFERENCE

The present application is based on and claims priority for common subject matter to prior U.S. Application for Patent, Serial No 15/383,485 filed December 19, 2016 by Shah which is a continuation in part of U.S. Patent Application for Patent Serial No. 15/383,282 by Shah, filed December 19, 2017, each of which are hereby incorporated by reference.

Additionally, this application is related to Design Patent Applications 29/588,224, 29/588,234, 29/588,241, and 29/588,243 (International Registration DM/097 723).

BACKGROUND

Diamonds are some of the most cherished and expensive jewelry. For example, diamonds are practically a staple of any engagement or wedding. Larger diamonds are more spectacular and pleasing to customers.

However, larger diamonds are quite expensive. The prices of diamonds are not linear with respect to size. For example, a larger diamond that is twice as large as a smaller diamond is very likely to be much worth more than twice the smaller diamond. Therefore, there is a desire to reduce this expense.

Further limitations and disadvantages of convention and traditional approaches will become apparent to one of skill in the art, through comparison of such systems with embodiments set forth in the remainder of the present application with reference to the drawings.

l SUMMARY

According to one aspect of the present application, there is presented a diamond. The diamond comprises a table, a crown, a girdle, a pavilion, and a culet. The table is rectangular, having a length and a width. The table comprises a first side, adjacent to a second side, adjacent to a third side, and adjacent to a fourth side. The first side of the table is directly connected with a first facet of the girdle. The second side of the table is directly connected with a second facet of the girdle. The crown comprises a plurality of facets connecting the third side and the fourth side of the table to the girdle. The girdle comprises five facets including the first facet and the second facet, a third face, a fourth facet, and a radiant facet. The first facet, second facet, third facet, and fourth facet form three substantially 90 degree angles. The radiant facet connects the third facet and the fourth facet The pavilion is connected to the girdle. The culet is positioned directly below a point having a 1% deviation from the center of the girdle.

According to certain embodiments, the radiant facet forms a substantially 135 degree angle with the third facet.

According to certain embodiments, the radiant facet forms a substantially 135 degree angle with the fourth facet.

According to certain embodiments, the diamond has a depth between 70% and 80%.

According to certain embodiments, the diamond has a length/width ratio between 1 and 1.03.

According to another aspect of the present application, there is presented a method of cutting a diamond from a princess cut diamond. The princess cut diamond comprises a table, a crown disposed below the table, and a girdle disposed beneath the crown. The girdle comprises four facets forming a substantially rectangular shape. The four facets comprise a first facet, a second facet substantially perpendicular to the first facet, a third facet substantially perpendicular to the second facet, and a fourth facet substantially perpendicular to the third facet and substantially perpendicular to the first facet. The princess cut diamond further comprises a pavilion disposed below the girdle, and a culet directly below a point substantially at the center of the girdle. The method comprises making a cut parallel to the first facet of the girdle, proceeding from the second facet to the fourth facet, thereby: removing a portion of the crown and pavilion, shortening the second facet and the fourth facet, and resulting in a new girdle facet, wherein the new girdle facet is directly connected to the table. The method further comprises making a cut parallel to the shortened second facet, proceeding from the first facet to the new girdle facet, thereby removing another portion of the crown and the pavilion, shortening the first facet, shortening the new girdle facet to a first measurement, resulting in another new girdle facet having a second measurement, wherein the another new girdle facet is directly connected to the table, and perpendicular shortened new girdle facet, and wherein the shortened new girdle facet and the new girdle facet meet at a first point. The method further comprises cutting the pavilion such that the culet is directly under a second point that is within 1% deviation of half the first measurement from the first point and half the second measurement from the first point. The method further includes cutting a radiant facet connecting two of the shortened new girdle facet, the second new girdle facet, the third shortened girdle facet, and the shortened fourth girdle facet.

According to certain embodiments, the radiant facet forms a substantially 135 degree angle with each of the two of the shortened new girdle facets, the second new girdle facet, the third shortened girdle facet, and the shortened fourth girdle facet.

According to certain embodiments, the distance between the culet and the table after cutting the pavilion is less than the distance between the pavilion and the table before cutting the pavilion.

According to certain embodiments, the length/width ratio is between 1.00 to 1.03 of the width.

According to certain embodiments, the method comprises making the cut through the crown increasing the table to 75%.

According to certain embodiments, the crown comprises four corner facets, and wherein making a cut parallel to the first facet of the girdle comprises making a cut from the tip of two of the four corner facets.

According to another aspect, a diamond set comprises four diamonds wherein the culets of the four diamonds are disposed such that: the first facet of the girdle of a first one of the four diamonds abuts the second facet of the girdle of a second of the four diamonds; the second facet of the girdle of the second one of the four diamonds abuts the first facet of the girdle of a third one of the four diamonds; the first facet of the girdle of the third one of the four diamonds abuts the second facet of the girdle of the fourth one of the four diamonds; the first facet of the girdle of the fourth one of the four diamonds abuts the second facet of the girdle of the first one of the four diamonds; and the tables of the four diamonds are substantially planar.

According to certain embodiments, in the first one of the four diamonds, the crown comprises one or more facets that are adjacent to the first girdle facet and one or more facets that are adjacent to the second girdle facet, in the second one of the four diamonds, the crown comprises a one or more facets that are adjacent to the first girdle facet and one or more facets that are adjacent to the second girdle facet, and wherein the one or more facets of the crown that are adjacent to the second girdle facet of the second one of the four diamonds diamond and the one or more facets of the crown adjacent to the first girdle facet of the first one of the four diamonds are substantially coplanar; in the third one of the four diamonds, the crown comprises a one or more facets that are adjacent to the first girdle facet and one or more facets that are adjacent to the second girdle facet, and wherein the one or more facets of the crown that are adjacent to the second girdle facet of the third one of the four diamonds diamond and the one or more facets of the crown adjacent to the first girdle facet of the second one of the four diamonds diamond are substantially coplanar; in the fourth one of the four diamonds, the crown comprises a one or more facets that are adjacent to the first girdle facet and one or more facets that are adjacent to the second girdle facet, and wherein the one or more facets of the crown that are adjacent to the second girdle facet of the fourth one of the four diamonds diamond and the one or more facets of the crown adjacent to the first girdle facet of the third one of the four diamonds diamond are substantially coplanar.

According to certain embodiments, the depths of each of the four diamonds are different.

Other aspects, advantages, and salient features of embodiments presented in this application will become apparent to those skilled in the art from the following detailed description, taken in conjunction with the annexed drawings.

BRIEF DESCRIPTION OF THE DRAWINGS

The above and other aspects, features, and advantages of certain exemplary embodiments of the present application will be more apparent from the following description taken in conjunction with the accompanying drawings, in which:

Figures 1 A and IB are block diagrams of a diamond gemstone;

Figures 2A and 2B are block diagrams describing increasing the table of a princess cut diamond from the side and top view;

Figures 3 A and 3B are top views, and Figure 3C is a side view describing removing portions of the crown;

Figure 4A and 4B are side and top views of a diamond with a culet off- center;

Figures 5A-5F are the top view, side views, and the bottom view of a diamond with a table directly connected to the girdle, and the culet repositioned;

Figures 6A-6C are top, side, and bottom views of a multi-diamond set. Throughout the drawings, like reference numerals will be understood to refer to like parts, components and structures.

DETAILED DESCRIPTION

The following description describes certain embodiments and shall be understood to be only for the purpose of enabling a person of ordinary skill in the art to make and use the subject matter of any claims that are presently pending or may later be added, or which may issue in any patent. It shall be understood that the following embodiments are not limiting and nothing is essential or critical unless specifically designated.

As the following discussion is presented to provide a thorough understanding of the present application, it shall be understood that many of the following details can be modified, varied, and components substituted without departing from the scope of the present application.

Referring to Figures 1 A and IB, there are block diagrams of a top view and side view of a diamond 100. The diamond 100 can include a table 100a, a crown 100b, a girdle 100c, a pavilion lOOd, and culet lOOe. Although diamonds 100 are measured by weight (1 karat = 200 mg), large diamonds are perceived to have large tables 100a, and crowns 100b.

Additionally, a Radiant cut refers to a generally rectangular shape with cropped corners. For purposes of this document, it shall be understood that a square is a specific type of rectangle. Thus, the term "rectangle" shall refer to a category of shapes that includes squares. Although embodiments are presented herein that are rectangular in shape, in certain embodiments, diamond 100 can be a 4-sided parallelogram with angles that vary from 90 degrees.

While the pavilion lOOd of a large diamond is also large, the pavilion lOOd is not as perceptible as the table 100a, crown 100b, and girdle 100c. Diamonds are typically set in jewelry so that the table 100a and crown 100b are at the top. As a result, the top view of the diamond 100 (Figure 1A) is the most common view that diamonds are observed, and the table 100a and crown 100b are the most noticed parts. Most setting options actually obscure the pavilion lOOd and culet lOOe.

The appearance of a large diamond can be achieved if multiple diamonds are set together. If from the top view, the multiple diamonds are perceived as similar to top view in Figure 1A, the multiple stones will have the appearance of a single large diamond 100. Since the cost of diamonds is non-linear, the price of the multiple diamonds will be much less. Moreover, the combined weight of the multiple diamonds will be less than the single large diamond 100.

Accordingly, the present application will now describe a method for cutting and setting four Princess Cut Diamonds to have the appearance of a diamond with a large crown and table. The method includes cutting to increase the size of the table if the table is not large enough (Figure 2). With a large enough table, a cuts are then made to the diamond parallel to the girdle facets (Figures 3 and 4). The diamond is then cut to reposition the culet and cut a corner (Figures 5A-5F). Four of the diamonds cut according to the foregoing method can be positioned to have the appearance of the table and crown of a large radiant-cut diamond 100 (FIGURE 6A-6C).

Referring now to FIGURE 2, there is shown a block diagram for cutting an example of a Princess Cut Diamond 200 (FIGURE 2A is a side view, FIGURE 2B is a top view. The diamond 200 in Figure 2 is one example of a Princess Cut Diamond. The qualities of diamond 200 are only presented for example, and do not apply to all Princess Cut Diamonds, which is a standard defined by Gemological Institute of America (GIA). The diamond 200 includes a table 200a, crown 200b, girdle 200c, pavilion 200d, and culet 200e.

The girdle 200c defines a rectangle parallel to the plane of the table having a length L and a width W. The length and the width are in perpendicular dimensions, and by convention, the length L is the longer dimension and the width W is the shorter dimension. The center 205 of the girdle is a point at the intersection of a line that is ½ the width W and ½ the length L of the girdle. A line orthogonal to the plane table through the center 205 of the girdle either passes through or deviates within 1% of the height H and width W, or within (0.01 H, 0.01W) of the culet (now referred to as 1% deviation).

The table 200a size of diamond 200 is 65%. In certain embodiments, where the table size is less than 75% (or alternatively 80%), the diamond 200 is cut by a pressing force in directions orthogonal to a plane of the table 200a. As a result of cutting, region 210 is removed, resulting in a cut along plane 215. In certain embodiments, plane 215 is parallel, substantially parallel, or within one degree of parallel to the plane defined by the base of the girdle 200c. The foregoing results in a larger table. In certain embodiments, the table is larger than 75%.

It is noted that diamond cuts can be made in a number of different ways such as by laser along the cut direction, or by grinding in a sanding motion by pressing in a direction orthogonal to the cut direction. The term "cutting in a direction" or "making a cut in a direction" shall refer to the resultant cut.

Referring now to FIGURES 3A and 3B, there are illustrated block diagrams of diamonds 300, 300' with table sizes 300a that are at least 75%. Figure 3A is a princess cut diamond 300' from the top view and Figure 3B is a modified diamond 300" with the table 300'a size increased to at least 75%.

The girdles 300c and 300'c are substantially rectangular when viewed from the top view, having first facets 300c(l), 300'c(l), second facets 300c(2), 300'(c)(2), third facets 300c(3), 300'c(3), and fourth facets 300c(4), 300'c(4). The first facets 300c(l), 300'c(l), are perpendicular, substantially perpendicular, or within 1 degree of perpendicular from second facets 300c(2), 300'(c)(2), which are perpendicular, substantially perpendicular, or within 1 degree of perpendicular from third facets 300c(3), 300'c(3), which are perpendicular, substantially perpendicular, or within 1 degree of perpendicular from third facets fourth facets 300c(4), 300'c(4).

The diamonds 300, 300' are then cut by pressing against facets 300c(l), 300'c(l) of the girdles, resulting in cuts along the dotted lines 302(1), 302'(1), and cut by pressing against facets 302c(2), 302'c(2), resulting in cuts along the dotted lines 302(2), 302'(2). Lines 302(1), 302'(1) are parallel, substantially parallel, or within one degree of parallel to girdle facets 300c(4), 300c'(4). Lines 302(2), 302' (2) are parallel, substantially parallel, or within one degree of parallel to girdle facets 300c(3), 300'c(3). Lines 302(1) and 302(2) intersect perpendicularly, substantially perpendicularly, or within one degree of perpendicular (89 to 91 degrees).

In certain embodiments, lines 302(1), 302(2), 302'(1), and 302' (2) are selected to intersect at point 320, 320'. The point 320, 320' is a point in the table 300a, 300 'a, to maximize the distance to the crown in any direction to the left of line 302(1), 302'(1), and below line 302(2), 302'(2).

In certain embodiments, where the table of the Princess Cut Diamond table 300a exceeds 75%, or where the table of the Princess Cut Diamond table was not increased as in Figure 2, diamond 300 includes corner facets 305(1), 305(2), 305(3), and 305(4). Line 302(1) is through the innermost tip of facets 305(1) and 305(2). Line 302(2) is through the innermost tip of facets 305(2) and 305(3).

As a result of pressing against girdle facets 300(c)(1), 300'(c)(l) until lines 302(1), 302'(1), sections 310, 310' are removed, facets 300c(2), 300'c(2) are shortened, facets 300c(4), 300c '(4) are shortened, and first new girdle facets are created along lines 302(1), 302'(1). As a result of pressing against girdle facets 300(c)(2), 300'(c)(2) until lines 302(2), 302'(2), sections 315, 315' are removed, facets 300c(3), 300'c(3) and the first new girdle facets along lines 302(1), 302'(1) (to point 320, 320') are shortened, and second new girdle facets are created along lines 302(2), 302'(2).

Figure 3C shows a side view of diamond 300. For example, by pressing against girdle side 300c(2) until line 302(2), section 315 is removed. As can be seen, the girdle is modified and reduced, and portions of the crown and pavilion are removed. Referring now to Figure 4A and 4B, there is illustrated a block diagram describing a corner view and top view of the diamond 300 cut as described in Figure 3. In the interests of brevity, the result of cutting diamond 300 will be described, as the following description is also applicable to the result of cutting diamond 300'. Moreover, a number of the facets in the pavilion 400d are not shown to emphasize certain other features.

The cut along line 302(1) is perpendicular, substantially perpendicular, or within 1 degree of perpendicular to the table. As a result of the cut along line 302(1), the girdle is modified, resulting in shortening girdle facets 300c(3) and 300c(4), and a first new girdle facet 400c(l). Girdle facet 400c(l) is directly connected to the table 400a along line 302(1).

A cut along line 302(2) is perpendicular, substantially perpendicular, or within 1 degree of perpendicular to the table 400a. As a result of the cut along line 302(1), the girdle is modified, shortening facet 300c(4) and first new girdle facet 400c(l), and resulting in a second new girdle side 400c(2). Girdle facet 400c(2) is directly connected to the table 400a along line 302(2). The new girdle sides 400c(l) and 400c(2) form a 90 degree angle, a substantially a 90 degree angle, or between an 89 to 91 degree angle, along a line 400cl2 through point 320 and orthogonal, substantially orthogonal, or within 1 degree of orthogonal to the table 400a. Girdle facets 400(c)(1) and 400(c)(2) have varying sizes in the z dimension that are larger than girdle facets 300(c)(3) and 300(c)(4). Girdle facets 300c(3) and 300c(4) are connected to crown 400b that is connected to the table 400.

Figure 4B is a top view. The rectangular shape formed by girdle facets 400c(l), 400c(2), 300c(3), and 300c(4) has a length V and a width W. Point 405 is located at ½ L' and ½ W. However, the culet was positioned at half the length ½ L and half the width ½ W. As a result of removing sections 310 and 315, the culet deviates considerably from directly below ½ L' and ½ W.

Placing four diamonds 400 so that table sides 302(1) and 302(2) abut each other in a 2x2 arrangement would result in the appearance of a single, larger table. However, to improve the light refractive properties, the diamond 400 is further cut so that the culet is repositioned directly below point 405. For example, returning to Figure 3C, note that along the x direction, culet 300 is in the center before removal of section 315. However, after removal of 315, the center 420 in the x dimension is at another part of the pavilion 300d\ As a result, diamond 400 is cut so that a culet will be positioned along 420. In certain embodiments, the culet is positioned at a lower depth than pavilion portion 300d\

Additionally, the crowns 400b may not be consistent. Accordingly, diamond 400 is further cut to create a repeatable crown 400b. In certain embodiments, additional cuts are made so that the diamond 400 can form part of a multi-diamond set having a Radiant Cut appearance.

Figures 5A-5F illustrates the resultant diamond 500. The resultant diamond 500 has 55 facets, 1-55. The table below gives the angle, angle variance, and azimuth of each facet. Each of the azimuths angles can vary by 5 degrees.

Facet # Angle Angle Range (+/-) Azimuth Pavillion

1 39.25 0.75 225

2 39.25 0.75 135

3 39.25 0.75 45

4 39.25 0.75 315

5 41 1 257.88

6 41 1 192.12

7 41 1 167.88 41 1 102.12

41 1 77.88

41 1 12.12

41 1 347.88

41 1 282.12

43 1 257.92

43 1 192.08

43 1 167.92

43 1 102.08

43 1 77.92

43 1 12.08

43 1 347.92

43 1 282.08

46.5 1.5 258.09

46.5 1.5 191.91

46.5 1.5 168.09

46.5 1.5 101.91

46.5 1.5 78.09

46.5 1.5 11.91

46.5 1.5 348.09 28 46.5 1.5 281.91 29 57.5 2.5 270 30 57.5 2.5 180 31 57.5 2.5 90 32 57.5 2.5 360 33 65 5 315

Girdle

34 90 1 270 38 90 1 315 41 90 1 360 42 90 1 90 43 90 1 180 Crown

44 65 5 315 45 43 3 270 46 43 3 360 47 38 3 270 48 38 3 360 49 31.5 3.5 268.31 50 31.5 3.5 271.74 51 31.5 3.5 358.29

52 31.5 3.5 1.71

53 25 3 270

54 25 3 360

Table

55 0 1 360

The process of cutting the diamond from Figure 2 to the foregoing cuts results in a loss of only between 17 and 22 percent of the diamond mass.

Figure 5A is the top view, Figure 5B-5E are side views of diamond 500, and Figure 5F is the bottom view of diamond 500. The diamond 500 comprises a table 55, crown (comprising facets 44-54), girdle (facets 34, 38, 41,42, 43), pavilion (facets 1-33), and culet 500e.

In certain embodiments, the table 500a is rectangular having a length and a width. Although length is shown in the vertical dimension, and width is shown in the horizontal dimension, it is noted that by convention, length refers to the longer dimension and width refers to the shorter dimension. In certain embodiments, the horizontal dimension can be larger, thereby making the horizontal dimension the width. In certain embodiments, the length to width ratio can be between 1.00 to 1.03. The table 55 has a first side 500a(l), second side 500a(2), third side 500a(3), and fourth side 500a(4).

The sides of the table 500a(l)-500a(4) may make a rectangular shape. Side 500a(l) and side 500a(2) are perpendicular, or substantially perpendicular, or make an angle between 89 degrees and 91 degrees. Side 500a(2) and side 500a(3) are perpendicular, or substantially perpendicular, or make an angle between 89 degrees and 91 degrees. Side 500a(3) and side 500a(4) are perpendicular, or substantially perpendicular, or make an angle between 89 degrees and 91 degrees. Side 500a(4) and side 500a(l) are perpendicular, or substantially perpendicular, or make an angle between 89 degrees and 91 degrees.

The girdle is shown in Figures 5B-5E and includes facets 34, 41, 42, and 43, and a radiant facet 38. Facets 43 (see Figure 5B) and 42 (see Figure 5C) may be perpendicular to each other, substantially perpendicular to each other, or form an angle between 89 to 91 degrees. Facets 41 (see Figure 5D) and 34 (see Figure 5E) are perpendicular to each other, substantially perpendicular to each other, or form an angle between 89 to 91 degrees. Facets 34 and 43 are perpendicular to each other, substantially perpendicular to each other, or form an angle between 89 to 91 degrees. Facets 34 and 41 can be joined by radiant facet 38. Radiant facet 38 and facet 34 make a 135 degree angle, substantially a 135 degree angle, or an angle between 134 to 136 degrees. Radiant facet 38 and facet 41 make a 135 degree angle, substantially a 135 degree angle, or an angle between 134 to 136 degrees. In a multi-diamond set, radiant facet 38 forms the cropped corner, resulting in a Radiant Cut.

In Figures 5 A and B, facet 43 extends completely across in the x dimension and has measurement of W. In Figures 5 A and C, facet 42 extends completely across in the y dimension and has a measurement of L' . The facets 34, 38, 41, 42, and 43 of the girdle form a closed loop, although the facets are not of uniform width. For example, facets 42 and 43 are wider in certain regions and narrower in other regions.

The table 55 is directly connected at table side 500a(l) to the girdle facet 43 (see Figure 5B), such that the table 55 is parallel, substantially parallel, or within 1 degree of parallel to the xy plane, while the girdle facet 43 is parallel, substantially parallel, or within 1 degree parallel of the xz plane, thereby making table side 500a(l) and girdle facet 43 perpendicular, substantially perpendicular, or forming an angle between 89 to 91 degrees.

Table Side 500a(2) is directly connected to girdle facet 42 (see Figure 5C). Girdle facet 42 is parallel, substantially parallel, or within 1 degree parallel of the yz plane, thereby making table side 500a(2) and girdle facet 43 perpendicular, substantially perpendicular, or forming an angle between 89 to 91 degrees. Moreover, at point 505, table 55, facet 43, and facet 42 contact each other, such that each of the table 55, facet 43, and facet 42 are perpendicular, substantially perpendicular, or forming an angle between 89 to 91 degrees with the others.

Referring to Figures 5A and D, table side 500a(3) is connected to facet 41 by crown facets 46, 48, 51, 52, and 54. Referring to Figures 5A and E, table side 500a(4) is connected to facet 33 by crown facets 45, 47, 49, 50, and 53. Additionally, the corner of the table formed by tables sides 500a(3) and 500a(4) is connected to the radiant facet 38 by facet 44. Radiant facet 38 is connected to facet 33 of the pavilion. Facets 33, 38, and 44 create the cropped corner appearance of the Radiant Cut diamond.

As noted above, facet 43 has a measurement of W, while facet 42 has a measurement of L\ Figures 5 A and 5F show a top and bottom view. Point 510 is positioned at ½ W and ½ L' from point 505. The culet 500e is positioned such that a line passing through point 505 and orthogonal to table 55 either passes through culet 500e or comes within 1% deviation (0.01W, 0.01 U).

Referring now to Figures 5B to E, the depth is defined as the distance from the culet to the table D as a percentage of the longer of L' and W\ In certain embodiments, the culet 500e has a depth of 70% to 90%. In other embodiments, the culet 500e has a depth of 70% to 80%.

Four diamonds 500 can be disposed adjacently to each other such that the tables 55 of each other give the appearance of larger diamond as described in Figure 1.

Referring now to Figure 6, there is illustrated a top view Figure 6 A, a side view, Figure 6B, and a bottom view Figure 6C of a multi-diamond setting 600 having the appearance of a single large homogeneous stone. The multi- diamond setting 600 comprises four diamonds 500i, 500 ₂ , 500 ₃ , 500 ₄ . It is noted that where the length to width ratio is close to 1, the diamond 500 ₂ is diamond 500i turned 90 degrees clockwise. Diamond 500 ₃ is diamond 500i turned 180 degrees. Diamond 500 ₄ is diamond 500i turned 90 degrees counterclockwise. In certain embodiment, the multi-diamond setting can have the appearance of having a large Radiant Cut diamond.

Diamonds 500i and 500 ₂ are disposed such that table side 500ia(l) is adjacent with table 500 ₂ a(2). This can be achieved by forcing facet 43 of diamond 500i against facet 42 of diamond 500 ₂ . Furthermore, crown facets 49 and 45 of diamond 500i are adjacent to facets 52 and 46 of diamond 500 ₂ . The foregoing can be accomplished in a number of ways. In embodiment, metal prongs can apply lateral force against the crowns of each diamond 500i, 500 ₂ , 500 ₃ , 500 ₄ pushing inwards. In another embodiment, and adhesive can be disposed along facets 42 and 43 of diamonds 500i, 500 ₂ , 500 ₃ , 500 ₄ .

Diamonds 500 ₂ and 500 ₃ are disposed such that table side 500 ₂ a(l) is adjacent with table 500 ₃ a(2). Furthermore, crown facets 49 and 45 of diamond

500 ₂ are adjacent to facets 52 and 46 of diamond 500 ₃ . This can be achieved by forcing facet 43 of diamond 500 ₂ against facet 42 of diamond 500 ₃ .

Diamonds 500 ₃ and 500 ₄ are disposed such that table side 500 ₃ a(l) is adjacent with table 500 ₄ a(2). Furthermore, crown facets 49 and 45 of diamond

500 ₃ are adjacent to facets 52 and 46 of diamond 500 ₄ . This can be achieved by forcing facet 43 of diamond 500 ₃ against facet 42 of diamond 500 ₄ .

Diamonds 500 ₄ and 5001 are disposed such that table side 500 ₄ a(l) is adjacent with table 500ia(2). Furthermore, crown facets 49 and 45 of diamond 500 ₄ are adjacent to facets 52 and 46 of diamond 500i. This can be achieved by forcing facet 43 of diamond 500 ₄ against facet 42 of diamond 500i.

Additionally, the tables 55i, 55 ₂ , 55 ₃ , and 55 ₄ are substantially co- planar such that they are perceived as one single table, and wherein no crevices between edges of the individual tables are perceptible to the naked eye, or by touch. Additionally, facets 45 and 46, and facets 49 and 52 of each diamond 500i, 500 ₂ , 500 ₃ , 500 ₄ are substantially coplanar so as to appear to be single facets, wherein no crevices therebetween are visible, or perceivable by touch. Facets 44 and radiant facet 38 form the cropped corner appearance of a Radiant Cut diamond from the top view.

Referring now to FIGURE 6B, there is illustrated a block diagram of a side view of the multidiamond set 600. From the side view, only diamonds 500i and 500 ₄ can be seen. Girdle facets 41 and 34 are substantially coplanar such that they are perceived as one single table, and wherein no crevices between edges of the individual tables are perceptible to the naked eye, or by touch. Facets 42 and 43 are forced against each other at line 42/43. Furthermore, radiant facet 38 forms a 135 degrees angle, a substantially 135 degree angle, or an angle between 134 to 136 degrees. It is noted that each diamond 500 has a culet 500e. While in certain embodiments, the culets 500e have the same depth, in other embodiments, the cutlets can have different depths. Since the pavilion is the least visible portion of the multi- diamond set, the differing depths of the culets is not highly observable and can be obscured by many jewelry fittings. Where the culets 500e have different depths, the culets are disposed higher or lower with respect to each other such that the facets 41, 34, tables, and crown facets are co-planar. For example, where the distance between the table and culet 500e between two diamonds 500 differ by an amount Δ, the culet 500e can be set at a height differential of Δ.

Figure 6C shows a bottom view of the multi-diamond setting. Diamonds 500i, 500 ₂ , 500 ₃ , and 500 ₄ are adjacent to each other. Unlike the diamond of Figure 1, the multi-diamond set has four culets 500ie, 500 ₂ e, 500 ₃ e, 500 ₃ e. However, the bottom view if is the least observable and can be obscured by jewelry setting. Additionally, facets 33 in the pavilion provides the cropped corner appearance of a Radiant Cut diamond.

Accordingly, the appearance of a large diamond is achieved by the multi-diamond set by providing a very similar crown/table view. The cost is considerably cheaper because multiple diamonds are used instead of single pieces. Additionally, even the combined weight of the individual diamonds is considerably less because there is considerably less diamond material making up the pavilion. However, the position of the culets 500ie, 500 ₂ e, 500 ₃ e, 500 ₃ e provide light refraction that is still visually pleasing.

In some embodiments, diamonds 500 and diamond setting 600 can be a non-rectangular parallelogram. Sides of the table 500a(l)-500a(4) may form a non-rectangular parallelogram, where sides 500a(l) and 500a(3), and sides 500a(2) and 500a(4) are parallel, substantially parallel, or within one degree of parallel. The angle formed by sides 500a(l) and 500a(2) is equal, substantially equal, or within one degree of the angle formed by sides 500a(3) and 500a(4). The angle formed by sides 500a(2) and 500a(3) is equal, substantially equal, or within one degree of the angle formed by sides 500a(l) and 500a(4). Moreover, the sum of the angles formed between sides 500a(l) and 500a(2) and sides 500a(2) and 500a(3) are 180 degrees, substantially 180 degrees, or within one degree of 180 degrees.

Facets 34, 41, 42, and 43 may form a non-rectangular parallelogram, but for the radiant facet 38. Facets 43 and 41, and 34 and 42 are parallel, substantially parallel, or within one degree of parallel. The angle formed by 34 and 43 is equal, substantially equal, or within one degree of the angle formed by facets 41 and 42. The angle formed by facets 42 and 43 is equal, substantially equal, or within one degree of the angle that facets 41 and 34 would intersect, but for radiant facet 38. Moreover, the sum of the angles formed between sides 42 and 43 and facets 41 and 42 are 180 degrees, substantially 180 degrees, or within one degree of 180 degrees.

For example, in one embodiment, sides 500a(l) and 500a(2), and sides 500a(3) and 500a(4) can each form a 45 degree angle, an angle of substantially 45 degrees, or an angle within one degree of 45 degrees, sides 500a(2) and 500a(3) and sides 500a(l) and 500a(4) can form a 135 degree angle, an angle of substantially 135 degrees, or an angle within one degree of 135 degrees. Facets 42 and 43 can form, and facets 41 and 34 can intersect, but for the radiant facet 38, at a 45 degree angle, an angle of substantially 45 degrees, or an angle within one degree of 45 degrees. Facets 41 and 42 and facets 34 and 43 can form a 135 degree angle, an angle of substantially 135 degrees, or an angle within one degree of 135 degrees. The culet can be positioned within 1% deviation from a point directly below the midpoint of a line connecting the points where facets 41 and 42 meet, and facets 34 and 43 meet. In the foregoing embodiment, the radiant facet cuts across the acute (45 degree) angle.

In another embodiment, sides 500a(l) and 500a(2), and sides 500a(3) and 500a(4) can each form a 135 degree angle, an angle of substantially 135 degrees, or an angle within one degree of 135 degrees. Sides 500a(2) and 500a(3) and sides 500a(l) and 500a(4) can form a 45 degree angle, an angle of substantially 45 degrees, or an angle within one degree of 45 degrees. Facets 42 and 43 can form, and facets 41 and 34 can intersect, but for the radiant facet 38, at a 135 degree angle, an angle of substantially 135 degrees, or an angle within one degree of 135 degrees. Facets 41 and 42 and facets 34 and 43 can form a 45 degree angle, an angle of substantially 45 degrees, or an angle within one degree of 45 degrees. The culet can be positioned within 1% deviation from a point directly below the midpoint of a line connecting the points where facets 41 and 42 meet, and facets 34 and 43 meet. In the foregoing embodiment, the radiant facet cuts across the obtuse (135 degree) angle.

In one embodiment, diamond setting 600 can include two diamonds (oriented 180 degrees with respect to each other) where the radiant facet cuts across the acute angle, and two diamonds (oriented 180 degrees with respect to each other) where the radiant facet cuts across the obtuse angle. The foregoing four diamonds can be combined such that the radiant facet is in each corner.

While the invention has been shown and described with reference to certain exemplary embodiments thereof, it will be understood by those skilled in the art that various changes in form and details may be made therein without departing from the spirit and scope of the invention as defined by the appended claims and their equivalents.