Truncated Catalan Solids
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6-Truncated Triakis Tetrahedron
(pentagon sides:
1 long,
4 short)
version 1
Vertices:
28 (4[3] + 24[3])
Faces:
16 (12 mirror-symmetric pentagons + 4 regular hexagons)
Edges:
42 (36 short + 6 long)
Symmetry:
Full Tetrahedral (Td)
(values below based on short edge length = 1)
Short Edge (36):
1
Long Edge (6):
(5−sqrt(3))/3
≈1.0893163974770409022
Max Vertex Radius:
sqrt(3*(26+5*sqrt(3)))/6
≈1.6995159614295179877
Volume:
(125*sqrt(2)+39*sqrt(6))/18
≈15.128155292510045941