Confusion Icosahedron

by Arya Akhavan (September 2013)
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Gemology Projectopen
L/W
115%
Design RI
1.62
H/W
72%
Gear
96
V/W³
0.294
Symmetry
3 (mirrored)
Facets
34
Tiers
7
Crown
10
Pavilion
18

I've been trying to experiment with regular polyhedra, to determine what kinds of designs will give the highest yield. In this case, I wanted to see if I could take a hemiicosahedron and develop that into the crown of a hexagon. Works in materials from quartz to CZ (RI = 1.54 - 2.16) with no changes; I prefer green tourmaline. Suggested size = 6-12 mm

Wireframe

Confusion Icosahedron 3D view
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Pavilion

#AngleFacetsNotes
G190.00°
 82440567288
Set stone size.
P265.00°
 82440567288
Level girdle.
P143.00°
 52737596991
Cut to centerpoint.
P341.00°
 62638587090
Meet P1, P2

Crown

#AngleFacetsNotes
C144.52°
 82440567288
Set girdle width.
C225.00°
164880
Meet G1, C1
T0.00°
48
Meet C1, C2