Vertices: | 32 (12[5] + 20[6]) |
Faces: | 60 (isosceles triangles) |
Edges: | 90 (60 short + 30 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(80−9*sqrt(5))/109) | ≈123.320065258 degrees |
Dual Solid: | Truncated Great Icosahedron |
(values below based on unit-edge-length Truncated Great Icosahedron) |
Short Edge (60): | 9*(1+2*sqrt(5))/19 | ≈2.5920643997366428703 |
Long Edge (30): | 3*(1+sqrt(5))/2 | ≈4.8541019662496845446 |
[5]-Vertex Radius (12): | 9*sqrt(65−22*sqrt(5))/38 | ≈0.94162251086867940334 |
[6]-Vertex Radius (20): | 3*sqrt(3)/2 | ≈2.5980762113533159403 |
Edge-scribed Radius: | 3*(sqrt(5)−1)/4 | ≈0.92705098312484227231 |
Inscribed Radius: | 9*sqrt(109*(17−6*sqrt(5)))/218 | ≈0.81594061628325203540 |
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