| Vertices: | 44 (20[3] + 12[5] + 12[10]) |
| Faces: | 60 (kites) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(44−3*sqrt(5))/61) | ≈127.686523427 degrees |
| Dual Solid: | Great Ditrigonal Dodecicosidodecahedron |
| (values below based on unit-edge-length Great Ditrigonal Dodecicosidodecahedron) |
| Short Edge (60): | 3*sqrt(3*(145−62*sqrt(5)))/19 | ≈0.68989983950330179359 |
| Long Edge (60): | 3*sqrt(6*(85−31*sqrt(5)))/22 | ≈1.3227368053900110632 |
| Kite Length: | 3*sqrt(10*(3517+585*sqrt(5)))/418 | ≈1.57651505241413266847 |
| Kite Width: | 3*(3−sqrt(5))/2 | ≈1.1458980337503154554 |
| [3]-Vertex Radius (20): | 3*(10*sqrt(3)−sqrt(15))/38 | ≈1.0616466891695807408 |
| [10]-Vertex Radius (12): | 3*sqrt(5−2*sqrt(5))/2 | ≈1.0898137920080413288 |
| [5]-Vertex Radius (12): | 3*sqrt(5*(25−2*sqrt(5)))/22 | ≈1.3815145315479451299 |
| Edge-scribed Radius: | sqrt(6*(5−sqrt(5)))/4 | ≈1.0180739209102543669 |
| Inscribed Radius: | 3*sqrt(305*(9−2*sqrt(5)))/122 | ≈0.91381447435743735773 |