Pentajeez

by Arya Akhavan (January 2013)

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L/W: 102%
Design RI: 1.61
H/W: 65%
Gear: 120
V/W³: 0.220
Symmetry: 15 (mirrored)
Facets: 276
Tiers: 24
Crown: 101
Pavilion: 175

This originally started out as a project to re-write Marco's "Mikan" design for a pentagonal barion. No matter what I did, I couldn't write a good design in quartz, so I switched it to topaz and added over 100 more facets. Works with no changes in materials from topaz to YAG (RI = 1.61 - 1.83). Can be tweaked in GemRay. Suggested width = 15-30 mm

Wireframe

Pavilion

#	Angle	Facets	Notes
G1	90.00°	120 24 48 72 96	Set stone size.
G2	90.00°	8 16 32 40 56 64 80 88104112	Meet P1, G1
G3	90.00°	10 14 34 38 58 62 82 86106110	Meet P1, G2
G4	90.00°	12 36 60 84108	Meet P1, G3
P4	63.03°	12 36 60 84108	Level girdle.
P3	62.91°	10 14 34 38 58 62 82 86106110	Level girdle.
P2	62.52°	8 16 32 40 56 64 80 88104112	Level girdle.
P1	44.50°	120 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96100104108112116	Cut to centerpoint.
P5	43.00°	2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98102106110114118	Meet P1, P3, P4 (only 10 facets meet)
P6	42.00°	120 4 8 12 16 20 24 28 32 36 40 44 48 52 56 60 64 68 72 76 80 84 88 92 96100104108112116	Meet P1, P5
P7	41.00°	2 6 10 14 18 22 26 30 34 38 42 46 50 54 58 62 66 70 74 78 82 86 90 94 98102106110114118	Meet P5, P6

Crown

#	Angle	Facets	Notes
C1	34.87°	12 36 60 84108	Set girdle width.
C2	34.87°	10 14 34 38 58 62 82 86106110	Level girdle.
C4	34.87°	120 24 48 72 96	Level girdle.
C3	34.87°	8 16 32 40 56 64 80 88104112	Level girdle.
C5	33.23°	11 13 35 37 59 61 83 85107109	Meet G3, G4, C1, C2
C7	31.59°	12 36 60 84108	Meet C1, C5
C6	29.15°	4 20 28 44 52 68 76 92100116	Meet G1, G2, C3, C4
C8	27.12°	120 24 48 72 96	Meet C4, C6
C9	25.99°	6 18 30 42 54 66 78 90102114	Meet C2, C3, C5, C6
C10	25.00°	7 17 31 41 55 65 79 89103113	Meet C5, C7, C9
C12	22.91°	9 15 33 39 57 63 81 87105111	Meet C7, C10
C11	21.41°	4 20 28 44 52 68 76 92100116	Meet C8, C9, C10
T	0.00°	30	Meet C11, C12