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