Versi-Quasi-Regular Polyhedra

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(Uniform #39) Small Rhombidodecahedron
Vertices:  60  (60[4])
Faces:42  (30 squares + 12 regular decagons)
Edges:120
Symmetry:  Full Icosahedral  (Ih)
Dihedral Angle 1 (60):  acos(sqrt(10*(5+sqrt(5)))/10)    ≈31.717474411 degrees
Dihedral Angle 2 (60):  acos(−sqrt(10*(5−sqrt(5)))/10)    ≈121.717474411 degrees
Dual Solid:  Small Rhombidodecacron
(values below based on edge length = 1)
Circumscribed Radius:  sqrt(11+4*sqrt(5))/2    ≈2.2329505094156900495004
Midscribed Radius:  sqrt(2*(5+2*sqrt(5)))/2    ≈2.1762508994828215111
Decagon Center Radius:  sqrt(5+2*sqrt(5))/2    ≈1.5388417685876267013
Square Center Radius:  (2+sqrt(5))/2    ≈2.1180339887498948482


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