Versi-Quasi-Regular Duals
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Small Dodecicosacron
Vertices:
32 (20[6] + 12[10])
Faces:
60 (bowties)
Edges:
120 (60 short + 60 long)
Symmetry:
Full Icosahedral (Ih)
Dihedral Angle:
acos(−(44+3*sqrt(5))/61)
≈146.230659756 degrees
Dual Solid:
Small Dodecicosahedron
(values below based on unit-edge-length Small Dodecicosahedron)
Short Edge (60):
sqrt(6*(5+sqrt(5)))/2
≈3.29455641418532770351
Long Edge (60):
sqrt(3*(5+2*sqrt(5)))
≈5.3307042560058364373
[6]-Vertex Radius (20):
sqrt(15)/2
≈1.9364916731037084426
[10]-Vertex Radius (12):
3*sqrt(5+2*sqrt(5))/2
≈4.6165253057628801039
Edge-scribed Radius:
sqrt(6*(5+sqrt(5)))/4
≈1.6472782070926638518
Inscribed Radius:
3*sqrt(305*(9+2*sqrt(5)))/122
≈1.5762662330971825539