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 |
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