Chamfered Solids

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Chamfered Tetrahedron (all edges equal)
version 1
Vertices:  16  (4[3] + 12[3])
Faces:10  (4 equilateral triangles + 6 mirror-symmetric hexagons)
Edges:24  (all same length)
Symmetry:  Full Tetrahedral  (Td)
(values below based on edge length = 1)
Max Vertex Radius:  (2*sqrt(3)+sqrt(6))/4    ≈1.4783978394802331713
Volume:(30+19*sqrt(2))/12    ≈4.7391714737574004939