Truncated Catalan Solids
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6-Truncated Tetrakis Hexahedron
(canonical)
version 2
Vertices:
54 (24[3] + 24[3] + 6[4])
Faces:
32 (24 mirror-symmetric pentagons + 8 regular hexagons)
Edges:
84 (60 short + 24 long)
Symmetry:
Full Octahedral (Oh)
(values below based on short edge length = 1)
Short Edge (60):
1
Long Edge (24):
(3+sqrt(6))/4
≈1.362372435695794524549
Max Vertex Radius:
3*(1+sqrt(6))/4
≈2.5871173070873835736
Edge-scribed Radius:
(sqrt(2)+2*sqrt(3))/2
≈2.4391575887554248179
Volume:
(57+23*sqrt(6))/2
≈56.669132042006548129