Chamfered Solids

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Chamfered Cube (all edges equal)
version 1
Vertices:  32  (8[3] + 24[3])
Faces:18  (6 squares + 12 bi-mirror-symmetric hexagons)
Edges:48  (all same length)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge length = 1)
Max Vertex Radius:  (2+sqrt(3))/2    ≈1.8660254037844386468
Volume:(81+52*sqrt(3))/9    ≈19.007404665953513251