Versi-Quasi-Regular Polyhedra

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(Uniform #56) Rhombicosahedron
Vertices:  60  (60[4])
Faces:50  (30 squares + 20 regular hexagons)
Edges:120
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle 1 (60):  acos((sqrt(3)+sqrt(15))/6)    ≈20.905157448 degrees
Dihedral Angle 2 (60):  acos(−(sqrt(15)−sqrt(3))/6)    ≈110.905157448 degrees
Dual Solid:  Rhombicosacron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(7)/2    ≈1.3228756555322952953
Midscribed Radius:  sqrt(6)/2    ≈1.2247448713915890491
Hexagon Center Radius:  sqrt(3)/2    ≈0.86602540378443864676
Square Center Radius:  sqrt(5)/2    ≈1.1180339887498948482


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