Tessellation 30

Suite: Tessellation Party!
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Gemology Projectopen
L/W
134%
Design RI
1.52
H/W
75%
Gear
80
V/W³
0.378
Symmetry
2 (mirrored)
Facets
80
Tiers
23
Crown
36
Pavilion
30

by Arya Akhavan (November 2013)

Here's another pentagonal Penrose tiling. I was trying to get another pentagon to appear where C9 is, but I couldn't manage to figure it out. Another cool science fact - 5-fold quasicrystals (pentagonal crystals) only form due to quantum chemsistry! The pavilion might be a little annoying to cut, but it's helping prevent a gigantic bowtie. Works in materials from feldspar to GGG (RI = 1.52 - 2.03) with no changes, but I prefer zircons.

Wireframe

Tessellation 30 3D view
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Pavilion

#AngleFacetsNotes
G190.00°
8040
Set stone width.
G290.00°
 3374377
Meet P1, P2, G1
G390.00°
 8324872
Level girdle.
G490.00°
17235763
Meet G3, P5, P6
P758.77°
17235763
Level girdle.
P850.00°
8040
Level girdle.
P244.45°
 1394179
Meet at culet.
P344.07°
 3374377
Level girdle.
P143.90°
 2384278
Cut to centerpoint.
P643.75°
15255565
Meet P4, P5
P543.57°
 8324872
Meet G2, P3, P4, G3
P443.36°
 4364476
Meet P1, P3

Crown

#AngleFacetsNotes
C263.65°
 3374377
Level girdle.
C158.92°
8040
Set girdle width.
C548.99°
 6344674
Meet G2, G3, C2, C3
C348.45°
 8324872
Level girdle.
C436.93°
17235763
Level girdle.
C629.26°
2060
Meet G4, C4
C825.67°
2060
Meet C4, C6, C7
C724.63°
15255565
Meet G3, G4, C3, C4
C921.62°
10305070
Meet C1, C2, C5; C3, C5, C7
C1016.42°
 4364476
Meet C1, C2, C5, C9
C1110.32°
2060
Meet C7, C8; C7, C9, C10