Abstract: An oval shaped diamond, adapted to display a hearts and arrows pattern when exposed to light characteristic of the hearts and arrows pattern in a round diamond, comprising: an oval shape having two long sides symmetrical to each other, two short sides symmetrical to each other and four diagonal sides symmetrically located between the long sides and the short sides respectively, eight main crown facets, eight main pavilion facets, sixteen pavilion half facets; a uniform girdle of varying thickness separating the crown and pavilion facets, twelve subsidiary pavilion facets and eight crown star facets with each crown star facet including two facet sections of equal size and geometry on each of the two long and two short sides of the oval shaped diamond and two facet sections of non-equal size and geometry in each of the four diagonal or shoulder sides of the oval shaped diamond.

Abstract: An oval shaped diamond, adapted to display a hearts and arrows pattern when exposed to light characteristic of the hearts and arrows pattern in a round diamond, comprising: an oval shape having two long sides symmetrical to each other, two short sides symmetrical to each other and four diagonal sides symmetrically located between the long sides and the short sides respectively, eight main crown facets, eight main pavilion facets, sixteen pavilion half facets; a uniform girdle of varying thickness separating the crown and pavilion facets, twelve subsidiary pavilion facets and eight crown star facets with each crown star facet including two facet sections of equal size and geometry on each of the two long and two short sides of the oval shaped diamond and two facet sections of non-equal size and geometry in each of the four diagonal or shoulder sides of the oval shaped diamond.

Abstract: A hexagonal shaped diamond, adapted to display a hearts and arrows pattern when exposed to light comparable to the hearts and arrows pattern in a round diamond. The hexagon shaped diamond should be cut to form six main crown facets of substantially equal size symmetrically arranged relative to one another surrounding a table facet with each main crown facet having parallel edges symmetrically aligned to the parallel edges of a main crown facet located opposite thereto, six main pavilion facets polished in alignment with the main crown facets, girdle facets separating the pavilion facets from the main crown facets and twelve crown star facets.

Abstract: A diamond which will display a heart and arrows pattern characteristic substantially conforming to the hearts and arrows pattern inherently generated in a symmetrically polished round cut diamond when subjected to light. The diamond is polished in a symmetrical shape having four main crown facets on the long sides of the diamond, four main crown facets on the corner sides of the diamond, a table facet, 8 crown star facets adjacent the table facet, 16 crown half facets, 8 main pavilion facets, 16 pavilion half facets, 4 subsidiary pavilion facets, 16 subsidiary pavilion half facets with each subsidiary pavilion facet postioned adjacent two pavilion half facets and multiple girdle facets of varying thickness on both the long and corner sides of the diamond. The hearts and arrows pattern generated by this gemstone forms 8 symmetrically aligned arrows and 8 symmetrically aligned hearts when visually observed through a conventional scope in the presence of light.

Abstract: A decagonal shaped diamond, adapted to display a hearts and arrows pattern when exposed to light comparable to the hearts and arrows pattern in a round diamond. The decagonal shaped diamond should be cut to form ten main crown facets of substantially equal size symmetrically arranged relative to one another surrounding a table facet twenty star facets with two star facets polished on every main crown facet, ten main pavilion facets, an equal number of crown half facets as pavilion half facets, ten subsidiary pavilion half facets, twenty subsidiary pavilion facets and ten main girdle facets with the girdle facets polished at a given angle relative to one another for forming the decagonal shape of the diamond.

Abstract: A cushion cut diamond and method for polishing a diamond to form a cushion cut which will display a hearts and arrows pattern characteristic of the true hearts and arrows pattern in a round cut diamond when subjected to light. The cushion cut is formed by polishing a diamond into a symmetrical rounded shaped geometry having four curvilinear long sides and four curvilinear corner sides of equal radius with the four curvilinear corner sides interconnecting the four curvilinear long sides to form the rounded shape; forming 4 main crown facets of substantially equal geometry and dimension symmetrically positioned on the four long sides of the diamond with the 4 main crown facets on the four corner sides being equal in geometry and dimension and symmetrically positioned on the four corner sides and further comprising a table facet, 8 crown star facets on the main crown sides adjacent the table facet; 16 crown halve facets.

Abstract: A heart shaped diamond possessing a hearts and arrows pattern characteristic comprising: eight main crown facets symmetrically aligned relative to one another, with each of the eight main crown facets having a straight edge in parallel alignment with a straight edge of another main crown facet disposed opposite thereto; eight main pavilion facets aligned at a fixed given angle of approximately 45° to each other and converging at a common point corresponding to the center of the diamond; sixteen pavilion half facets aligned at 22.5° with respect to each other, a girdle which is non-uniform and has a substantially unequal thickness throughout the diamond, a table facet, and a multiple number of crown star facets in an arrangement surrounding the table facet.

Abstract: A cushion cut diamond and method for polishing a diamond to form a cushion cut which will display a hearts and arrows pattern characteristic of the true hearts and arrows pattern in a round cut diamond when subjected to light. The cushion cut is formed by polishing a diamond into a symmetrical rounded shaped geometry having four curvilinear long sides and four curvilinear corner sides of equal radius with the four curvilinear corner sides interconnecting the four curvilinear long sides to form the rounded shape; forming 4 main crown facets of substantially equal geometry and dimension symmetrically positioned on the four long sides of the diamond with the 4 main crown facets on the four corner sides being equal in geometry and dimension and symmetrically positioned on the four corner sides and further comprising a table facet, 8 crown star facets on the main crown sides adjacent the table facet; 16 crown halve facets.

Abstract: A modified princess cut diamond and method of forming a modified princess cut diamond into a symmetrical shape possessing a hearts and arrows pattern characteristic of the true hearts and arrows pattern in a round cut diamond.

Abstract: A decagonal shaped diamond, adapted to display a hearts and arrows pattern when exposed to light comparable to the hearts and arrows pattern in a round diamond. The decagonal shaped diamond should be cut to form ten main crown facets of substantially equal size symmetrically arranged relative to one another surrounding a table facet twenty star facets with two star facets polished on every main crown facet, ten main pavilion facets, an equal number of crown half facets as pavilion half facets, ten subsidiary pavilion half facets, twenty subsidiary pavilion facets and ten main girdle facets with the girdle facets polished at a given angle relative to one another for forming the decagonal shape of the diamond.

Abstract: A heart shaped diamond possessing a hearts and arrows pattern characteristic comprising: eight main crown facets symmetrically aligned relative to one another, with each of the eight main crown facets having a straight edge in parallel alignment with a straight edge of another main crown facet disposed opposite thereto; eight main pavilion facets aligned at a fixed given angle of approximately 45° to each other and converging at a common point corresponding to the center of the diamond; sixteen pavilion half facets aligned at 22.5° with respect to each other, a girdle which is non-uniform and has a substantially unequal thickness throughout the diamond, a table facet, and a multiple number of crown star facets in an arrangement surrounding the table facet.

Abstract: A triangular star shaped diamond adapted to display a hearts and arrows pattern when exposed to light comparable to the hearts and arrows pattern in a round diamond, comprising: six main crown facets, twelve crown half facets, a table facet, six main pavilion facets and an even number of main girdle facets separating the crown facets from the pavilion facets with each main crown facet having a symmetrical main crown facet in an opposing relationship and at least one edge in parallel alignment with an edge of the opposing main crown facet.