Rectified Archimedean Solids

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Rectified Rhombicuboctahedron
derived form
Vertices:  48  (24[4] + 24[4])
Faces:50  (18 squares + 24 tri-equilateral trapezoids
    + 8 equilateral triangles)
Edges:96  (24 short + 72 long)
Symmetry:  Full Octahedral  (Oh)
(values below based on short edge length = 1)
Short Edge (24):  1
Long Edge (72):  sqrt(2)    ≈1.4142135623730950488
Circumscribed Radius:  sqrt(2*(2+sqrt(2)))    ≈2.6131259297527530557
Volume:2*(45+37*sqrt(2))/3    ≈64.883934538536344537