| Vertices: | 54 (30[4] + 12[5] + 12[5]) |
| Faces: | 60 (kites) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−5/7) | ≈135.584691403 degrees |
| Dual Solid: | Rhombidodecadodecahedron |
| (values below based on unit-edge-length Rhombidodecadodecahedron) |
| Short Edge (60): | 3*(7*sqrt(30)−5*sqrt(6))/110 | ≈0.71163082667579283957 |
| Long Edge (60): | 3*(5*sqrt(6)+7*sqrt(30))/110 | ≈1.3796734837984777754 |
| Kite Length: | 6*sqrt(7)/11 | ≈1.44313707876250395846 |
| Kite Width: | 3*sqrt(5)/5 | ≈1.3416407864998738178 |
| [5]-Vertex Radius (12): | 3*sqrt(25−2*sqrt(5))/11 | ≈1.2356641617779932294 |
| [4]-Vertex Radius (30): | 3*sqrt(5)/5 | ≈1.3416407864998738178 |
| [5]-Vertex Radius (12): | 3*sqrt(25+2*sqrt(5))/11 | ≈1.4805885126395852507 |
| Edge-scribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
| Inscribed Radius: | 3*sqrt(7)/7 | ≈1.1338934190276816816 |
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