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