Truncated Catalan Solids

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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