| Vertices: | 52 (20[3] + 12[5] + 20[6]) |
| Faces: | 60 (darts) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(44−3*sqrt(5))/61) | ≈127.686523427 degrees |
| Dual Solid: | Great Icosicosidodecahedron |
| (values below based on unit-edge-length Great Icosicosidodecahedron) |
| Short Edge (60): | sqrt(30*(85+sqrt(5)))/38 | ≈1.3462480023172069402 |
| Long Edge (60): | sqrt(30*(65+19*sqrt(5)))/22 | ≈2.5811453777548300329 |
| Dart Length: | 3*sqrt(10*(3517+585*sqrt(5)))/418 | ≈1.57651505241413266847 |
| Dart Width: | sqrt(5) | ≈2.2360679774997896964 |
| [3]-Vertex Radius (20): | 3*(10*sqrt(3)−sqrt(15))/38 | ≈1.0616466891695807408 |
| [5]-Vertex Radius (12): | 3*sqrt(5*(25−2*sqrt(5)))/22 | ≈1.3815145315479451299 |
| [6]-Vertex Radius (20): | sqrt(15)/2 | ≈1.9364916731037084426 |
| Edge-scribed Radius: | sqrt(6*(5−sqrt(5)))/4 | ≈1.0180739209102543669 |
| Inscribed Radius: | 3*sqrt(305*(9−2*sqrt(5)))/122 | ≈0.91381447435743735773 |