Truncated Archimedean Solids
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(F: faces)
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Canonical Truncated Truncated Icosahedron
canonical form
Vertices:
180 (120[3] + 60[3])
Faces:
92 (20 tri-symmetric dodecagons
+ 12 regular decagons + 60 isosceles triangles)
Edges:
270 (120 short + 120 medium + 30 long)
Symmetry:
Full Icosahedral (Ih)
(values below based on edge-scribed radius = 1)
Short Edge (120):
(5−sqrt(5))/15
≈0.18426213483334735357
Medium Edge (120):
8*(4*sqrt(5)−5)/165
≈0.19123742593935315324
Long Edge (30):
(5*sqrt(5)−9)/11
≈0.19821271704535895291
Edge-scribed Radius:
1
Volume:
2*(467*sqrt(5)−471)/297
≈3.86022724237307601497