Truncated Catalan Solids

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8-Truncated Triakis Octahedron
(canonical)
version 2
Vertices:  56  (8[3] + 24[3] + 24[3])
Faces:30  (24 mirror-symmetric pentagons + 6 regular octagons)
Edges:84  (24 short + 60 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on long edge length = 1)
Short Edge (24):  2−sqrt(2)+sqrt(10−7*sqrt(2))    ≈0.90281177318911937654
Long Edge (60):  1
Max Vertex Radius:  sqrt(2*(5+2*sqrt(2)+2*sqrt(2+sqrt(2))))/2    ≈2.4004109288610707709
Edge-scribed Radius:  (1+2*sqrt(2+sqrt(2)))/2    ≈2.3477590650225735123
Volume:26−sqrt(2)+8*sqrt(10−sqrt(2))    ≈48.026996560146644800