Versi-Quasi-Regular Duals
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Great 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)
≈127.686523427 degrees
Dual Solid:
Great Dodecicosahedron
(values below based on unit-edge-length Great Dodecicosahedron)
Short Edge (60):
sqrt(3*(5−2*sqrt(5)))
≈1.2584085723648189697
Long Edge (60):
sqrt(6*(5−sqrt(5)))/2
≈2.0361478418205087338
[10]-Vertex Radius (12):
3*sqrt(5−2*sqrt(5))/2
≈1.0898137920080413288
[6]-Vertex Radius (20):
sqrt(15)/2
≈1.9364916731037084426
Edge-scribed Radius:
sqrt(6*(5−sqrt(5)))/4
≈1.0180739209102543669
Inscribed Radius:
3*sqrt(305*(9−2*sqrt(5)))/122
≈0.91381447435743735773