Chamfered Solids

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Chamfered Octahedron (all edges equal)
version 1
Vertices:  30  (24[3] + 6[4])
Faces:20  (8 equilateral triangles + 12 bi-mirror-symmetric hexagons)
Edges:48  (all same length)
Symmetry:  Full Octahedral  (Oh)
(values below based on edge length = 1)
Max Vertex Radius:  (3*sqrt(2)+4*sqrt(3))/6    ≈1.8618073195657990534
Volume:(39*sqrt(2)+34*sqrt(3))/9    ≈12.671561821099170543