| Vertices: | 54 (30[4] + 12[10] + 12[10]) |
| Faces: | 120 (obtuse triangles) |
| Edges: | 180 (60 short + 60 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle 1 (120): | acos(−9/11) | ≈144.903198772 degrees |
| Dihedral Angle 2 (60): | acos(9/11) | ≈215.096801228 degrees |
| Dual Solid: | Truncated Dodecadodecahedron |
| (values below based on unit-edge-length Truncated Dodecadodecahedron) |
| Short Edge (60): | 5*(3*sqrt(2)−sqrt(10))/6 | ≈0.90030252245908817867 |
| Medium Edge (60): | 5*(3*sqrt(2)+sqrt(10))/6 | ≈6.1707652894063870653 |
| Long Edge (60): | 2*sqrt(10) | ≈6.3245553203367586640 |
| [10]-Vertex Radius (12): | sqrt(5*(5−2*sqrt(5))) | ≈1.6245984811645316308 |
| [4]-Vertex Radius (30): | 5/3 | ≈1.6666666666666666667 |
| [10]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5))) | ≈6.8819096023558676910 |
| Edge-scribed Radius: | sqrt(10)/2 | ≈1.5811388300841896660 |
| Inscribed Radius: | 5*sqrt(11)/11 | ≈1.5075567228888181132 |
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