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 |
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