| Vertices: | 32 (20[3] + 12[5]) |
| Faces: | 30 (rhombi) |
| Edges: | 60 (equal length) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(1+sqrt(5))/4) | 144 degrees |
| Dual Solid: | Icosidodecahedron |
| (values below based on unit-edge-length Icosidodecahedron) |
| Edge Length: | sqrt(10*(5+sqrt(5)))/8 | ≈1.0633135104400499152 |
| Rhombus Length: | (5+sqrt(5))/4 | ≈1.8090169943749474241 |
| Rhombus Width: | sqrt(5)/2 | ≈1.1180339887498948482 |
| [3]-Vertex Radius (20): | (5*sqrt(3)+sqrt(15))/8 | ≈1.5666546730064754191 |
| [5]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/4 | ≈1.7204774005889669228 |
| Edge-scribed Radius: | sqrt(5+2*sqrt(5))/2 | ≈1.5388417685876267013 |
| Inscribed Radius: | (5+3*sqrt(5))/8 | ≈1.4635254915624211362 |
| Volume: | 25*(5+2*sqrt(5))/16 | ≈14.800212429686842801 |
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