Method for determining a high-reflection cut of a gem, method for cutting a high-reflection gem, and the cut high-reflection gem

• US 6,474,102 B1
• Filed: 02/04/2000
• Issued: 11/05/2002
• Est. Priority Date: 08/06/1997
• Status: Expired due to Fees

• Current Assignee: Helmut Buerger
• Original Assignee: Helmut Buerger
• Inventors: Buerger, Helmut
• Primary Examiner(s): Swann, J. J.
• Assistant Examiner(s): CHOP, ANDREA MARIE
• Application Number:
  US09/463,418
• Time in Patent Office: 1,005 Days
• Field of Search: 63/32
• US Class Current: 63/32
• CPC Class Codes: A44C 17/001 Faceting gems

Abstract

The invention relates to a method for determining a high-reflection cut of a gem, a method for cutting a high-reflection gem, and a cut high-reflection gem. According to the invention, the gems have at least three lower part main facets and at least three upper part main facets, the angle between the lower part main facets and the girdle plane being greater than the angle between the upper part main facets and the girdle plane. A table replaces the upper part main facets at an angle of 0°. The lower part main facet angle is between 41° and 46° and the upper part main facet angle corresponds to an angle from a group of predetermined preferred angles. The group of angles is determined according to the average refraction of light n (between 1.50 and 3.00) of the raw material being cut and the lower part main facet angle.

Claims

1. A cut gem including high reflection with at least three principal pavilion facets and at least three principal crown facets, an angle between the principal pavilion facets and a girdle surface being greater than an angle between the principal crown facets and the girdle surface, such that at angle 0°

a table is formed instead of the principal crown facets, with principal pavilion facet angle (UHFW) ranging between 41° and

46° and

principal crown facet angle (ORFW) corresponding to an angle selected from a group of predetermined, preferred angles, which are subject to mean optical refraction n ranging between 1.50 and 3.00 of a raw material to be cut, and principal pavilion facet angle (UHFW), said group of predetermined, preferred angles comprising the following angles;

at n 1.50 and UHFW of 42°

angles of 13°

to 33°

at n 1.50 and UHFW of 43°

angles of 6°

to 26°

at n 1.50 and UHFW of 44°

angles of 1°

to 18°

at n 1.50 and UHFW of 45°

angles of 0°

to 9°

at n 1.50 and UHFW of 46°

angles of 0°

at n 1.55 and UHFW of 41°

angles of 18°

to 33°

at n 1.55 and UHFW of 42°

angles of 12°

to 30°

at n 1.55 and UHFW of 43°

angles of 6°

to 26°

at n 1.55 and UHFW of 44°

angles of 1°

to 18°

at n 1.55 and UHFW of 45°

angles of 0°

to 13°

at n 1.55 and UHPW of 46°

angles of 0°

to 5°

at n 1.60 and UHFW of 41°

angles of 17°

to 31°

at n 1.60 and UHFW of 42°

angles of 11°

to 28°

at n 1.60 and UHEW of 43°

angles of 6°

to 23°

at n 1.60 and UHFW of 44°

angles of 1°

to 20°

at n 1.60 and UHFW of 45°

angles of 0°

to 14°

at n 1.60 and UHFW of 46°

angles of 0°

to 6°

at n 1.65 and UHFW of 41°

angles of 16°

to 28°

at n 1.65 and UHFW of 42°

angles of 11°

to 25°

at n 1.65 and UHFW of 43°

angles of 5°

to 21°

at n 1.65 and UHFW of 44°

angles of 1°

to 17°

at n 1.65 and UHFW of 45°

angles of 0°

to 14°

at n 1.65 and UHFW of 46°

angles of 0°

to 6°

at n 1.70 and UHFW of 41°

angles of 15°

to 27°

at n 1.70 and UHFW of 42°

angles of 10°

to 23°

at n 1.70 and UHFW of 43°

angles of 5°

to 20°

at n 1.70 and UHFW of 44°

angles of 1°

to 17°

at n 1.70 and UHFW of 45°

angles of 0°

to 12°

at n 1.70 and UHFW of 46°

angles of 0°

to 6°

at n 1.75 and UHFW of 41°

angles of 15°

to 25°

at n 1.75 and UHFW of 42°

angles of 10°

to 22°

at n 1.75 and UHFW of 43°

angles of 5°

to 19°

at n 1.75 and UHFW of 44°

angles of 1°

to 15°

at n 1.75 and UHFW of 45°

angles of 0°

to 12°

at n 1.75 and UHFW of 46°

angles of 0°

to 3°

at n 1.80 and UHFW of 41°

angles of 14°

to 24°

at n 1.80 and UHFW of 42°

angles of 1°

to 21°

at n 1.80 and UHFW of 43°

angles of 5°

to 19°

at n 1.80 and UHFW of 44°

angles of 1°

to 14°

at n 1.80 and UHFW of 45°

angles of 0°

to 11°

at n 1.80 and UHFW of 46°

angles of 0°

to 3°

at n 1.85 and UHFW of 41°

angles of 14°

to 23°

at n 1.85 and UHFW of 42°

angles of 9°

to 20°

at n 1.85 and UHFW of 43°

angles of 5°

to 17°

at n 1.85 and UHFW of 44°

angles of 1°

to 14°

at n 1.85 and UHFW of 45°

angles of 0°

to 11°

at n 1.85 and UHFW of 46°

angles of 0°

to 3°

at n 1.90 and UHFW of 41°

angles of 14°

to 22°

at n 1.90 and UHFW of 42°

angles of 9°

to 20°

at n 1.90 and UHFW of 43°

angles of 5°

to 17°

at n 1.90 and UHFW of 44°

angles of 1°

to 14°

at n 1.90 and UHFW of 45°

angles of 0°

to 9°

at n 1.90 and UHFW of 46°

angles of 0°

to 3°

at n 1.95 and UHFW of 41°

angles of 13°

to 22°

at n 1.95 and UHFW of 42°

angles of 9°

to 20°

at n 1.95 and UHFW or 43°

angles of 5°

to 16°

at n 1.95 and UHFW of 44°

angles of 1°

to 13°

at n 1.95 and UHFW of 45°

angles of 0°

to 9°

at n 1.95 and UHFW of 46°

angles of 0°

to 3°

at n 2.00 and UHFW of 41°

angles of 13°

to 22°

at n 2.00 and UHFW of 42°

angles of 8°

to 17°

at n 2.00 and UHFW of 43°

angles of 4°

to 16°

at n 2.00 and UHFW of 44°

angles of 1°

to 12°

at n 2.00 and UHFW of 45°

angles of 0°

to 9°

at n 2.00 and UHFW of 46°

angles of 0°

to 3°

at n 2.05 and UHFW of 41°

angles of 13°

to 19°

at n 2.05 and UHFW of 42°

angles of 8°

to 16°

at n 2.05 and UHFW of 43°

angles of 4°

to 14°

at n 2.05 and UHFW of 44°

angles of 1°

to 12°

at n 2.05 and UHFW of 45°

angles of 0°

to 9°

at n 2.05 and UHFW of 46°

angles of 0°

to 3°

at n 2.10 and UHFW of 41°

angles of 12°

to 19°

at n 2.10 and UHFW of 42°

angles of 8°

to 16°

at n 2.10 and UHFW of 43°

angles of 4°

to 14°

at n 2.10 and UHFW of 44°

angles of 1°

to 12°

at n 2.10 and UHFW of 45°

angles of 0°

to 8°

at n 2.10 and UHFW of 46°

angles of 0°

to 3°

at n 2.15 and UHFW of 41°

angles of 12°

to 18°

at n 2.15 and UHFW of 42°

angles of 8°

to 16°

at n 2.15 and UHFW of 43°

angles of 4°

to 14°

at n 2.15 and UHFW of 44°

angles of 1°

to 11°

at n 2.15 and UHFW of 45°

angles of 0°

to 8°

at n 2.15 and UHFW of 46°

angles of 0°

to 4°

at n 2.20 and UHFW of 41°

angles of 12°

to 18°

at n 2.20 and UHFW of 42°

angles of 8°

to 15°

at n 2.20 and UHFW of 43°

angles of 4°

to 13°

at n 2.20 and UHFW of 44°

angles of 1°

to 10°

at n 2.20 and UHFW of 45°

angles of 0°

to 8°

at n 2.20 and UHFW of 46°

angles of 0°

to 4°

at n 2.25 and UHFW of 41°

angles of 12°

to 17°

at n 2.25 and UHFW of 42°

angles of 8°

to 15°

at n 2.25 and UHFW of 43°

angles of 4°

to 13°

at n 2.25 and UHFW of 44°

angles of 1°

to 10°

at n 2.25 and UHFW of 45°

angles of 0°

to 8°

at n 2.25 and UHFW of 46°

angles of 0°

to 3°

at n 2.30 and UHFW of 41°

angles of 12°

to 17°

at n 2.30 and UHFW of 42°

angles of 7°

to 15°

at n 2.30 and UHFW of 43°

angles of 4°

to 13°

at n 2.30 and UHFW of 44°

angles of 1°

to 10°

at n 2.30 and UHFW of 45°

angles of 0°

to 7°

at n 2.30 and UHFW of 46°

angles of 0°

to 3°

at n 2.35 and UHFW of 41°

angles of 11°

to 17°

at n 2.35 and UHFW of 42°

angles of 7°

to 14°

at n 2.35 and UHFW of 43°

angles of 4°

to 12°

at n 2.35 and UHFW of 44°

angles of 1°

to 10°

at n 2.35 and UHFW of 45°

angles of 0°

to 7°

at n 2.35 and UHFW of 46°

angles of 0°

to 3°

at n 2.40 and UHFW of 41°

angles of 11°

to 16°

at n 2.40 and UHFW of 42°

angles of 7°

to 14°

at n 2.40 and UHFW of 43°

angles of 4°

to 12°

at n 2.40 and UHFW of 44°

angles of 1°

to 10°

at n 2.40 and UHFW of 45°

angles of 0°

to 7°

at n 2.40 and UHFW of 46°

angles of 0°

to 3°

at n 2.45 and UHFW of 41°

angles of 11°

to 16°

at n 2.45 and UHFW of 42°

angles of 7°

to 14°

at n 2.45 and UHFW of 43°

angles of 4°

to 12°

at n 2.45 and UHFW of 44°

angles of 1°

to 10°

at n 2.45 and UHFW of 45°

angles of 0°

to 7°

at n 2.45 and UHFW of 46°

angles of 0°

to 3°

at n 2.50 and UHFW of 41°

angles of 11°

to 16°

at n 2.50 and UHFW of 42°

angles of 7°

to 14°

at n 2.50 and UHFW of 43°

angles of 4°

to 11°

at n 2.50 and UHFW of 44°

angles of 1°

to 9°

at n 2.50 and UHFW of 45°

angles of 0°

to 7°

at n 2.50 and UHFW of 46°

angles of 0°

to 3°

at n 2.55 and UHFW of 41°

angles of 11°

to 15°

at n 2.55 and UHFW of 42°

angles of 7°

to 13°

at n 2.55 and UHFW of 43°

angles of 4°

to 11°

at n 2.55 and UHFW of 44°

angles of 1°

to 9°

at n 2.55 and UHFW of 45°

angles of 0°

to 7°

at n 2.55 and UHFW of 46°

angles of 0°

to 2°

at n 2.60 and UHFW of 41°

angles of 11°

to 15°

at n 2.60 and UHFW of 42°

angles of 7°

to 13°

at n 2.60 and UHFW of 43°

angles of 4°

to 11°

at n 2.60 and UHFW of 44°

angles of 1°

to 9°

at n 2.60 and UHFW of 45°

angles of 0°

to 7°

at n 2.60 and UHFW of 46°

angles of 0°

to 2°

at n 2.65 and UHFW of 41°

angles of 10°

to 15°

at n 2.65 and UHFW of 42°

angles of 7°

to 13°

at n 2.65 and UHFW of 43°

angles of 4°

to 11°

at n 2.65 and UHFW of 44°

angles of 1°

to 9°

at n 2.65 and UHFW of 45°

angles of 0°

to 6°

at n 2.65 and UHFW of 46°

angles of 0°

to 2°

at n 2.70 and UHFW of 41°

angles of 10°

to 15°

at n 2.70 and UHFW of 42°

angles of 7°

to 13°

at n 2.70 and UHFW of 43°

angles of 4°

to 11°

at n 2.70 and UHFW of 44°

angles of 1°

to 9°

at n 2.70 and UHFW of 45°

angles of 0°

to 6°

at n 2.70 and UHFW of 46°

angles of 0°

to 2°

at n 2.75 and UHFW of 41°

angles of 10°

to 15°

at n 2.75 and UHFW of 42°

angles of 7°

to 12°

at n 2.75 and UHFW of 43°

angles of 4°

to 11°

at n 2.75 and UHFW of 44°

angles of 1°

to 9°

at n 2.75 and UHFW of 45°

angles of 0°

to 6°

at n 2.75 and UHFW of 46°

angles of 0°

to 1°

at n 2.80 and UHFW of 41°

angles of 10°

to 15°

at n 2.80 and UHFW of 42°

angles of 7°

to 12°

at n 2.80 and UHFW of 43°

angles of 4°

to 10°

at n 2.80 and UHFW of 44°

angles of 1°

to 8°

at n 2.80 and UHFW of 45°

angles of 0°

to 6°

at n 2.80 and UHFW of 46°

angles of 0°

to 1°

at n 2.85 and UHFW of 41°

angles of 10°

to 14°

at n 2.85 and UHFW of 42°

angles of 7°

to 12°

at n 2.85 and UHFW of 43°

angles of 4°

to 10°

at n 2.85 and UHFW of 44°

angles of 1°

to 8°

at n 2.85 and UHFW of 45°

angles of 0°

to 6°

at n 2.85 and UHFW of 46°

angles of 0°

to 1°

at n 2.90 and UHFW of 41°

angles of 10°

to 14°

at n 2.90 and UHFW of 42°

angles of 7°

to 12°

at n 2.90 and UHFW of 43°

angles of 4°

to 10°

at n 2.90 and UHFW of 44°

angles of 1°

to 8°

at n 2.90 and UHFW of 45°

angles of 0°

to 6°

at n 2.90 and UHFW of 46°

angles of 0°

to 1°

at n 2.95 and UHFW of 41°

angles of 10°

to 14°

at n 2.95 and UHFW of 42°

angles of 7°

to 12°

at n 2.95 and UHFW of 43°

angles of 4°

to 10°

at n 2.95 and UHFW of 44°

angles of 1°

to 8°

at n 2.95 and UHFW of 45°

angles of 0°

to 6°

at n 2.95 and UHFW of 46°

angles of 0°

to 1°

at n 3.00 and UHFW of 41°

angles of 10°

to 14°

at n 3.00 and UHFW of 42°

angles of 7°

to 12°

at n 3.00 and UHFW of 43°

angles of 4°

to 10°

at n 3.00 and UHFW of 44°

angles of 1°

to 8°

at n 3.00 and UHFW of 45°

angles of 0°

to 6°

at n 3.00 and UHFW of 46°

angles of 0°

to 1°

and principal crown facet angles (OHFW) for values of n and principal pavilion facet angles (UHFW) not specifically specified above being derived by interpolation from the above specified values.

2. The cut gem according to claim 1, wherein, in addition to a number of principal crown facets, the gem has a table of a diameter which preferably amounts to 0 to 85% of a diameter of the girdle surface.

3. The gem cut according to claim 1, wherein for a diamond the group of preferred principal crown facet angles (OHFW) comprises the following angles:

with UHFW of 41°

angles of 11°

to

with UHFW of 42°

angles of 7°

to 14°

with UHFW of 43°

angles of 4°

to 12°

with UHFW of 44°

angles of 1°

to 10°

with UHFW of 45°

angles of 0°

to 7°

with UHFW of 46°

angles of 0°

to 3°

.

4. The cut gem according to claim 1, wherein within the group of preferred angles from which the principal crown facet angle is selected is a group of especially preferred principal crown facet angles (OHFW) comprising the following angles:

with UHFW of 41°

of 13°

to 14°

with UHFW of 42°

of 9°

to 12°

with UHFW of 43°

of 5°

to 9°

with UHFW of 44°

of 2°

to 7°

with UHFW of 45°

of 0°

to 4°

with UHFW of 46°

of 0°

.

5. The cut gem according to claim 4, said gem further comprising dependent crown facets, wherein the principal crown facets have an angle selected from the group of especially preferred principal crown facet angles (OHFW) and the dependent crown facets have an angle selected from the group of preferred angles.

6. The cut gem according to claim 1, wherein the raw material used for cutting is either a natural stone or synthetic material.

7. The cut gem according to claim 1, wherein, in addition to principal pavilion facets (UHFW)and principal crown facets (OHFW), the gem has at least one of additional dependent pavilion facets and dependent crown facets.

8. The cut gem according to claim 1, wherein at least one of the number of pavilion facets and the number of crown facets is an even number.

9. The cut gem according to claim 8, wherein said even number is greater than 13.

10. The cut gem according to claim 1, wherein at least one of the number of pavilion facets and the number of crown facets is an odd number and is greater than 13.

11. The cut gem according to claim 1, wherein the number of principal crown facets and/or principal pavilion facets may be even or odd and edges between the principal pavilion facets and the principal crown facets are mutually offset on the girdle surface.

12. The cut gem according to claim 1, wherein the girdle surface may be of any shape, and is either formed as an edge between the pavilion facets and the crown facets, or consists of at least one rounded or flat facet of any height.

13. The cut gem according to claim 1, wherein the gem is either manually or automatically cut.

14. The cut gem according to claim 1, wherein at least one of the number of pavilion facets and the number of crown facets is an odd number.

15. A cut gem including high reflection with at least three principal pavilion facets and at least three principal crown facets, an angle between the principal pavilion facets and a girdle surface being greater than an angle between the principal crown facets and the girdle surface, such that at angle 0°

a table is formed instead of the principal crown facets, with principal pavilion facet angle (UHFW) ranging between 41° and

46° and

principal crown facet angle (OHFW) corresponding to an angle selected from a group of predetermined, preferred angles, which are subject to mean optical refraction n ranging between 1.50 and 3.00 of a raw material to be cut, and principal pavilion facet angle (UHFW), said group of predetermined, preferred angles comprising the following angles;

at n 1.50 and UHFW of 42°

angles of 16°

to 25°

at n 1.50 and UHFW of 43°

angles of 10°

to 21°

at n 1.50 and UHFW of 44°

angles of 3°

to 16°

at n 1.50 and UHFW of 45°

angles of 0°

to 9°

at n 1.55 and UHFW of 41°

angles of 20°

to 26°

at n 1.55 and UHFW of 42°

angles of 15°

to 23°

at n 1.55 and UHFW of 43°

angles of 9°

to 19°

at n 1.55 and UHFW of 44°

angles of 3°

to 16°

at n 1.55 and UHFW of 45°

angles of 0°

to 8°

at n 1.60 and UHFW of 41°

angles of 19°

to 25°

at n 1.60 and UHFW of 42°

angles of 14°

to 21°

at n 1.60 and UHFW of 43°

angles of 8°

to 17°

at n 1.60 and UHFW of 44°

angles of 2°

to 12°

at n 1.60 and UHFW of 45°

angles of 0°

to 7°

at n 1.60 and UHFW of 46°

angles of 0°

at n 1.65 and UHFW of 41°

angles of 19°

to 23°

at n 1.65 and UHFW of 42°

angles of 13°

to 20°

at n 1.65 and UHFW of 43°

angles of 8°

to 15°

at n 1.65 and UHFW of 44°

angles of 2°

to 11°

at n 1.65 and UHFW of 45°

angles of 0°

to 6°

at n 1.65 and UHFW of 46°

angles of 0°

at n 1.70 and UHFW of 41°

angles of 18°

to 21°

at n 1.70 and UHFW of 42°

angles of 12°

to 18°

at n 1.70 and UHFW of 43°

angles of 7°

to 14°

at n 1.70 and UHFW of 44°

angles of 2°

to 11°

at n 1.70 and UHFW of 45°

angles of 0°

to 6°

at n 1.70 and UHFW of 46°

angles of 0°

at n 1.75 and UHFW of 41°

angles of 17°

to 21°

at n 1.75 and UHFW of 42°

angles of 12°

to 16°

at n 1.75 and UHFW of 43°

angles of 7°

to 13°

at n 1.75 and UHFW of 44°

angles of 2°

to 11°

at n 1.75 and UHFW of 45°

angles of 0°

to 6°

at n 1.75 and UHFW of 46°

angles of 0°

to 1°

at n 1.80 and UHFW of 41°

angles of 16°

to 19°

at n 1.80 and UHFW of 42°

angles of 12°

to 16°

at n 1.80 and UHFW of 43°

angles of 7°

to 13°

at n 1.80 and UHFW of 44°

angles of 2°

to 10°

at n 1.80 and UHFW of 45°

angles of 0°

to 6°

at n 1.80 and UHFW of 46°

angles of 0°

to 1°

at n 1.85 and UHFW of 41°

angles of 16°

to 18°

at n 1.85 and UHFW of 42°

angles of 11°

to 15°

at n 1.85 and UHFW of 43°

angles of 6°

to 12°

at n 1.85 and UHFW of 44°

angles of 2°

to 10°

at n 1.85 and UHFW of 45°

angles of 0°

to 6°

at n 1.85 and UHFW of 46°

angles of 0°

at n 1.90 and UHFW of 41°

angles of 16°

to 18°

at n 1.90 and UHFW of 42°

angles of 11°

to 14°

at n 1.90 and UHFW of 43°

angles of 6°

to 12°

at n 1.90 and UHFW of 44°

angles of 2°

to 9°

at n 1.90 and UHFW of 45°

angles of 0°

to 6°

at n 1.90 and UHFW of 46°

angles of 0°

at n 1.95 and UHFW of 41°

angles of 15°

to 17°

at n 1.95 and UHFW of 42°

angles of 11°

to 14°

at n 1.95 and UHFW of 43°

angles of 6°

to 12°

at n 1.95 and UHFW of 44°

angles of 2°

to 9°

at n 1.95 and UHFW of 45°

angles of 0°

to 6°

at n 1.95 and UHFW of 46°

angles of 0°

at n 2.00 and UHFW of 41°

angles of 15°

to 17°

at n 2.00 and UHFW of 42°

angles of 10°

to 14°

at n 2.00 and UHFW of 43°

angles of 6°

to 12°

at n 2.00 and UHFW of 44°

angles of 2°

to 9°

at n 2.00 and UHFW of 45°

angles of 0°

to 6°

at n 2.00 and UHFW of 46°

angles of 0°

at n 2.05 and UHFW of 41°

angles of 15°

to 17°

at n 2.05 and UHFW of 42°

angles of 10°

to 14°

at n 2.05 and UHFW of 43°

angles of 6°

to 11°

at n 2.05 and UHFW of 44°

angles of 2°

to 9°

at n 2.05 and UHFW of 45°

angles of 0°

to 6°

at n 2.05 and UHFW of 46°

angles of 0°

at n 2.10 and UHFW of 41°

angles of 14°

to 16°

at n 2.10 and UHFW of 42°

angles of 10°

to 14°

at n 2.10 and UHFW of 43°

angles of 6°

to 11°

at n 2.10 and UHFW of 44°

angles of 2°

to 9°

at n 2.10 and UHFW of 45°

angles of 0°

to 6°

at n 2.10 and UHFW of 46°

angles of 0°

at n 2.15 and UHFW of 41°

angles of 14°

to 16°

at n 2.15 and UHFW of 42°

angles of 10°

to 13°

at n 2.15 and UHFW of 43°

angles of 5°

to 11°

at n 2.15 and UHFW of 44°

angles of 2°

to 9°

at n 2.15 and UHFW of 45°

angles of 0°

to 6°

at n 2.15 and UHFW of 46°

angles of 0°

at n 2.20 and UHFW of 41°

angles of 14°

to 15°

at n 2.20 and UHFW of 42°

angles of 10°

to 13°

at n 2.20 and UHFW of 43°

angles of 5°

to 11°

at n 2.20 and UHFW of 44°

angles of 2°

to 8°

at n 2.20 and UHFW of 45°

angles of 0°

to 5°

at n 2.20 and UHFW of 46°

angles of 0°

at n 2.25 and UHFW of 41°

angles of 14°

to 15°

at n 2.25 and UHFW of 42°

angles of 10°

to 13°

at n 2.25 and UHFW of 43°

angles of 5°

to 11°

at n 2.25 and UHFW of 44°

angles of 2°

to 8°

at n 2.25 and UHFW of 45°

angles of 0°

to 5°

at n 2.25 and UHFW of 46°

angles of 0°

at n 2.30 and UHFW of 41°

angles of 14°

to 15°

at n 2.30 and UHFW of 42°

angles of 9°

to 13°

at n 2.30 and UHFW of 43°

angles of 5°

to 10°

at n 2.30 and UHFW of 44°

angles of 2°

to 8°

at n 2.30 and UHFW of 45°

angles of 0°

to 5°

at n 2.30 and UHFW of 46°

angles of 0°

at n 2.35 and UHFW of 41°

angles of 13°

to 15°

at n 2.35 and UHFW of 42°

angles of 9°

to 12°

at n 2.35 and UHFW of 43°

angles of 5°

to 10°

at n 2.35 and UHFW of 44°

angles of 2°

to 7°

at n 2.35 and UHFW of 45°

angles of 0°

to 5°

at n 2.35 and UHFW of 46°

angles of 0°

at n 2.40 and UHFW of 41°

angles of 13°

to 14°

at n 2.40 and UHFW of 42°

angles of 9°

to 12°

at n 2.40 and UHFW of 43°

angles of 5°

to 9°

at n 2.40 and UHFW of 44°

angles of 2°

to 7°

at n 2.40 and UHFW of 45°

angles of 0°

to 4°

at n 2.40 and UHEW of 46°

angles of 0°

at n 2.45 and UHFW of 41°

angles of 13°

to 14°

at n 2.45 and UHFW of 42°

angles of 9°

to 11°

at n 2.45 and UHFW of 43°

angles of 5°

to 9°

at n 2.45 and UHFW of 44°

angles of 2°

to 7°

at n 2.45 and UHFW of 45°

angles of 0°

to 4°

at n 2.45 and UHFW of 46°

angles of 0°

at n 2.50 and UHFW of 41°

angles of 13°

at n 2.50 and UHFW of 42°

angles of 9°

to 11°

at n 2.50 and UHFW of 43°

angles of 5°

to 9°

at n 2.50 and UHFW of 44°

angles of 2°

to 7°

at n 2.50 and UHFW of 45°

angles of 0°

to 4°

at n 2.55 and UHFW of 41°

angles of 13°

at n 2.55 and UHFW of 42°

angles of 9°

to 11°

at n 2.55 and UHFW of 43°

angles of 5°

to 9°

at n 2.55 and UHFW of 44°

angles of 2°

to 7°

at n 2.55 and UHFW of 45°

angles of 0°

to 3°

at n 2.60 and UHFW of 41°

angles of 13°

at n 2.60 and UHFW of 42°

angles of 9°

to 11°

at n 2.60 and UHFW of 43°

angles of 5°

to 9°

at n 2.60 and UHFW of 44°

angles of 2°

to 7°

at n 2.60 and UHFW of 45°

angles of 0°

to 3°

at n 2.65 and UHFW of 42°

angles of 9°

to 11°

at n 2.65 and UHFW of 43°

angles of 5°

to 9°

at n 2.65 and UHFW of 44°

angles of 2°

to 6°

at n 2.65 and UHFW of 45°

angles of 0°

to 3°

at n 2.70 and UHFW of 42°

angles of 9°

to 10°

at n 2.70 and UHFW of 43°

angles of 5°

to 9°

at n 2.70 and UHFW of 44°

angles of 2°

to 6°

at n 2.70 and UHFW of 45°

angles of 0°

to 3°

at n 2.75 and UHFW of 42°

angles of 9°

to 10°

at n 2.75 and UHFW of 43°

angles of 5°

to 8°

at n 2.75 and UHFW of 44°

angles of 2°

to 6°

at n 2.75 and UHFW of 45°

angles of 0°

to 3°

at n 2.80 and UHFW of 42°

angles of 9°

to 10°

at n 2.80 and UHFW of 43°

angles of 5°

to 8°

at n 2.80 and UHFW of 44°

angles of 2°

to 6°

at n 2.80 and UHFW of 45°

angles of 0°

to 3°

at n 2.85 and UHFW of 42°

angles of 9°

at n 2.85 and UHFW of 43°

angles of 5°

to 8°

at n 2.85 and UHFW of 44°

angles of 2°

to 6°

at n 2.85 and UHFW of 45°

angles of 0°

to 3°

at n 2.90 and UHFW of 42°

angles of 9°

at n 2.90 and UHFW of 43°

angles of 5°

to 8°

at n 2.90 and UHFW of 44°

angles of 2°

to 6°

at n 2.90 and UHFW of 45°

angles of 0°

to 3°

at n 2.95 and UHFW of 42°

angles of 8°

to 9°

at n 2.95 and UHFW of 43°

angles of 5°

to 8°

at n 2.95 and UHFW of 44°

angles of 2°

to 6°

at n 2.95 and UHFW of 45°

angles of 0°

to 3°

at n 3.00 and UHEW of 42°

angles of 8°

to 9°

at n 3.00 and UHFW of 43°

angles of 5°

to 8°

at n 3.00 and UHFW of 44°

angles of 2°

to 6°

at n 3.00 and UHFW of 45°

angles of 0°

to 3°

and principal crown facet angles (OHFW) for values of n and principal pavilion facet angles (UHFW) not specifically specified above being derived by interpolation from the above specified values.

16. The cut gem according to claim 15, wherein, in addition to a number of principal crown facets, the gem has a table of a diameter which preferably amounts to 0 to 85% of a diameter of the girdle surface.

17. The cut gem according to claim 15, wherein for a diamond the group of preferred principal crown facet angles (OHFW) comprises the following angles:

with UHFW of 41°

angles of 11°

to

with UHFW of 42°

angles of 7°

to 14°

with UHFW of 43°

angles of 4°

to 12°

with UHFW of 44°

angles of 1°

to 10°

with UHFW of 45°

angles of 0°

to 7°

with UHFW of 46°

angles of 0°

to 3°

.

18. The cut gem according to claim 15, wherein within the group of preferred angles from which the principal crown facet angle is selected is a group of especially preferred principal crown facet angles (OHFW) comprising the following angles:

with UHFW of 41°

angles of 13°

to 14°

with UHFW of 42°

angles of 9 to 12°

with UHFW of 43°

angles of 5°

to 9°

with UHFW of 44°

angles of 2°

to 7°

with UHFW of 45°

angles of 0°

to 4°

with UHFW of 46°

angles of 0°

.

19. The cut gem according to claim 18, said gem further comprising dependent crown facets, wherein the principal crown facets have an angle selected from the group of especially preferred principal crown facet angles (OHFW) and the dependent crown facets have an angle selected from the group of preferred angles.

20. The cut gem according to claim 15, wherein the raw material used for cutting is either a natural stone or synthetic material.

21. The cut gem according to claim 15, wherein, in addition to principal pavilion facets (UHFW)and principal crown facets (OHFW), the gem has at least one of additional dependent pavilion facets and dependent crown facets.

22. The cut gem according to claim 15, wherein at least one of the number of pavilion facets and the number of crown facets is an even number.

23. The cut gem according to claim 22, wherein said even number is greater than 13.

24. The cut gem according to claim 15, wherein at least one of the number of pavilion facets and the number of crown facets is an odd number.

25. The cut gem according to claim 24, wherein said odd number is greater than 13.

26. The cut gem according to claim 15, wherein the number of principal crown facets and/or principal pavilion facets may be even or odd and edges between the principal pavilion facets and the principal crown facets are mutually offset on the girdle surface.

27. The cut gem according to claim 15, wherein the girdle surface may be of any shape, and is either formed as an edge between the pavilion facets and the crown facets, or consists of at least one rounded or flat facet of any height.

28. The cut gem according to claim 15, wherein the gem is either manually or automatically cut.