Versi-Quasi-Regular Polyhedra

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(Uniform #18) Small Rhombihexahedron
Vertices:  24  (24[4])
Faces:18  (12 squares + 6 regular octagons)
Edges:48
Symmetry:  Full Octahedral  (Oh)
Dihedral Angle 1 (24):  acos(sqrt(2)/2)    45 degrees
Dihedral Angle 2 (24):  acos(0)    90 degrees
Dual Solid:  Small Rhombihexacron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(5+2*sqrt(2))/2    ≈1.3989663259659067020
Midscribed Radius:  sqrt(2*(2+sqrt(2)))/2    ≈1.3065629648763765279
Octagon Center Radius:  1/2    0.5
Square Center Radius:  (1+sqrt(2))/2    ≈1.2071067811865475244


References:[1]Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172.