| Vertices: | 44 (20[3] + 12[5] + 12[10]) |
| Faces: | 60 (kites) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(19−8*sqrt(5))/41) | ≈91.553403672 degrees |
| Dual Solid: | Great Dodecicosidodecahedron |
| (values below based on unit-edge-length Great Dodecicosidodecahedron) |
| Short Edge (60): | 2*sqrt(2*(5−2*sqrt(5)))/3 | ≈0.68499086449734372899 |
| Long Edge (60): | 2*sqrt(65−19*sqrt(5))/11 | ≈0.86272120751779281724 |
| Kite Length: | sqrt(10*(157−31*sqrt(5)))/33 | ≈0.89730692216066848354 |
| Kite Width: | sqrt(5)−1 | ≈1.2360679774997896964 |
| [5]-Vertex Radius (12): | sqrt(5*(5−2*sqrt(5)))/3 | ≈0.54153282705484387693 |
| [3]-Vertex Radius (20): | (4*sqrt(15)−5*sqrt(3))/11 | ≈0.62106175881684373392 |
| [10]-Vertex Radius (12): | sqrt(5−2*sqrt(5)) | ≈0.72654252800536088590 |
| Edge-scribed Radius: | sqrt(2*(5−2*sqrt(5)))/2 | ≈0.51374314837300779674 |
| Inscribed Radius: | sqrt(205*(19−8*sqrt(5)))/41 | ≈0.36816224220521450411 |