| Vertices: | 52 (20[3] + 12[5] + 20[6]) |
| Faces: | 60 (kites) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(44+3*sqrt(5))/61) | ≈146.230659756 degrees |
| Dual Solid: | Small Icosicosidodecahedron |
| (values below based on unit-edge-length Small Icosicosidodecahedron) |
| Short Edge (60): | sqrt(30*(65−19*sqrt(5)))/22 | ≈1.1813296654889765606 |
| Long Edge (60): | sqrt(30*(85−sqrt(5)))/38 | ≈1.31128649498711757954 |
| Kite Length: | 3*sqrt(10*(3517−585*sqrt(5)))/418 | ≈1.0666772275746133833 |
| Kite Width: | sqrt(5) | ≈2.2360679774997896964 |
| [5]-Vertex Radius (12): | 3*sqrt(5*(25+2*sqrt(5)))/22 | ≈1.6553482804837096024 |
| [3]-Vertex Radius (20): | 3*(10*sqrt(3)+sqrt(15))/38 | ≈1.6731703754128570911 |
| [6]-Vertex Radius (20): | sqrt(15)/2 | ≈1.9364916731037084426 |
| Edge-scribed Radius: | sqrt(6*(5+sqrt(5)))/4 | ≈1.6472782070926638518 |
| Inscribed Radius: | 3*sqrt(305*(9+2*sqrt(5)))/122 | ≈1.5762662330971825539 |