Truncated Catalan Solids
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6-Truncated Triakis Tetrahedron
(canonical)
version 2
Vertices:
28 (4[3] + 24[3])
Faces:
16 (12 mirror-symmetric pentagons + 4 regular hexagons)
Edges:
42 (12 short + 30 long)
Symmetry:
Full Tetrahedral (Td)
(values below based on long edge length = 1)
Short Edge (12):
(3+sqrt(3))/5
≈0.94641016151377545871
Long Edge (30):
1
Max Vertex Radius:
sqrt(2*(15+4*sqrt(3)))/4
≈1.6556042412921146678
Edge-scribed Radius:
(sqrt(2)+2*sqrt(6))/4
≈1.5782982619848628113
Volume:
(111*sqrt(2)+50*sqrt(6))/20
≈13.972609628128622766