Versi-Quasi-Regular Polyhedra

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(Uniform #21) Great Rhombihexahedron
Vertices:  24  (24[4])
Faces:18  (12 squares + 6 regular octagrams)
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:  Great Rhombihexacron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(5−2*sqrt(2))/2    ≈0.73681287910395029658
Midscribed Radius:  sqrt(2*(2−sqrt(2)))/2    ≈0.54119610014619698440
Square Center Radius:  (sqrt(2)−1)/2    ≈0.20710678118654752440
Octagram Center Radius:  1/2    0.5


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