| Vertices: | 62 (30[4] + 20[6] + 12[10]) |
| Faces: | 120 (acute triangles) |
| Edges: | 180 (60 short + 60 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(179+24*sqrt(5))/241) | ≈164.887891908 degrees |
| Dual Solid: | Truncated Icosidodecahedron |
| (values below based on unit-edge-length Truncated Icosidodecahedron) |
| Short Edge (60): | sqrt(15*(85−31*sqrt(5)))/11 | ≈1.3942870166557737040 |
| Medium Edge (60): | 3*sqrt(15*(65+19*sqrt(5)))/55 | ≈2.19017447980650378252 |
| Long Edge (60): | 2*sqrt(15*(5−sqrt(5)))/5 | ≈2.5755459331956214849 |
| [4]-Vertex Radius (30): | 3*(5+4*sqrt(5))/11 | ≈3.8029832481815887597 |
| [6]-Vertex Radius (20): | sqrt(15) | ≈3.8729833462074168852 |
| [10]-Vertex Radius (12): | 3*sqrt(5*(5+2*sqrt(5)))/5 | ≈4.1291457614135206146 |
| Edge-scribed Radius: | sqrt(6*(5+2*sqrt(5)))/2 | ≈3.7693771279217166027 |
| Inscribed Radius: | sqrt(10845*(39+16*sqrt(5)))/241 | ≈3.736646456083142448451 |
| Volume: | 180*(5+4*sqrt(5))/11 | ≈228.17899489089532558 |