| Vertices: | 112 (100[3] + 12[5]) |
| Faces: | 60 (mirror-symmetric hexagons) |
| Edges: | 180 (60 short + 120 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos((3−5*sqrt(5)
+sqrt(2*(299+159*sqrt(5))))/58) | ≈61.133452274 degrees |
| Dual Solid: | Small Retrosnub Icosicosidodecahedron |
| (values below based on unit-edge-length Small Retrosnub Icosicosidodecahedron) |
| Short Edge (60): | sqrt(13+7*sqrt(5)
+sqrt(22*(9+5*sqrt(5))))/6 | ≈1.1752424290083404643 |
| Long Edge (120): | sqrt(9+3*sqrt(5)
+sqrt(2*(51+23*sqrt(5))))/2 | ≈2.7395759092675981069 |
| [5]-Vertex Radius (12): | sqrt(2*(35+17*sqrt(5)
−2*sqrt(10*(51+23*sqrt(5)))))/12 | ≈0.35363033303643561588 |
| [3]-Vertex Radius (100): | (sqrt(3)+sqrt(15))/4 | ≈1.4012585384440735447 |
| Edge-scribed Radius: | sqrt(9+3*sqrt(5)
−sqrt(2*(51+23*sqrt(5))))/4 | ≈0.29530738375898155383 |
| Inscribed Radius: | sqrt(58*(103+41*sqrt(5)
−2*sqrt(2*(2239+1005*sqrt(5)))))/116 | ≈0.15017604924732007711 |