Truncated Catalan Solids
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(F: faces)
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Truncated Tetrakis Hexahedron (canonical)
version 1
Vertices:
72 (24[3] + 24[3] + 24[3])
Faces:
38 (6 squares + 8 regular hexagons
+ 24 mirror-symmetric hexagons)
Edges:
108 (24 short + 24 medium + 60 long)
Symmetry:
Full Octahedral (Oh)
(values below based on short edge length = 1)
Short Edge (24):
1
Medium Edge (24):
sqrt(6)/2
≈1.2247448713915890491
Long Edge (60):
sqrt(6)−1
≈1.4494897427831780982
Max Vertex Radius:
sqrt(57−2*sqrt(6))/2
≈3.6090518323527040959
Edge-scribed Radius:
5*sqrt(2)/2
≈3.5355339059327376220
Volume:
79+38*sqrt(6)
≈172.08061022576076773