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 gemstone including a substantially rectangular girdle with rounded corners, a crown extending in a first direction from the girdle, and a pavilion extending in a second direction from the girdle opposite the first direction. The gemstone has 69 uniquely arranged and angled facets, 41 of which are in the crown, and 28 of which are in the pavilion. The height of the crown is preferably between 12 to 19½% of the width of the stone, the total depth of the stone is preferably between 58-68% of the width of the stone, and the width of the table is preferably between 55-65% of the width of the stone.