Vertices: | 50 (30[4] + 20[6]) |
Faces: | 60 (bowties) |
Edges: | 120 (60 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−5/7) | ≈135.584691403 degrees |
Dual Solid: | Rhombicosahedron |
(values below based on unit-edge-length Rhombicosahedron) |
Short Edge (60): | (5*sqrt(6)−sqrt(30))/10 | ≈0.67702231388642293564 |
Long Edge (60): | (5*sqrt(6)+sqrt(30))/10 | ≈1.7724674288967551626 |
[4]-Vertex Radius (30): | 3*sqrt(5)/5 | ≈1.3416407864998738178 |
[6]-Vertex Radius (20): | sqrt(3) | ≈1.73205080756887729353 |
Edge-scribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
Inscribed Radius: | 3*sqrt(7)/7 | ≈1.1338934190276816816 |
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