| Vertices: | 112 (100[3] + 12[5]) |
| Faces: | 60 (mirror-symmetric hexagons) |
| Edges: | 180 (60 short + 120 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−(5*sqrt(5)−3
+sqrt(2*(299+159*sqrt(5))))/58) | ≈139.89381326451 degrees |
| Dual Solid: | Small Snub Icosicosidodecahedron |
| (values below based on unit-edge-length Small Snub Icosicosidodecahedron) |
| Short Edge (60): | sqrt(13+7*sqrt(5)
−sqrt(22*(9+5*sqrt(5))))/6 | ≈0.45892204842512879791 |
| Long Edge (120): | sqrt(9+3*sqrt(5)
−sqrt(2*(51+23*sqrt(5))))/2 | ≈0.59061476751796310766 |
| [5]-Vertex Radius (12): | sqrt(2*(35+17*sqrt(5)
+2*sqrt(10*(51+23*sqrt(5)))))/12 | ≈1.3795248454281867501 |
| [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 | ≈1.36978795463379905346 |
| Inscribed Radius: | sqrt(58*(103+41*sqrt(5)
+2*sqrt(2*(2239+1005*sqrt(5)))))/116 | ≈1.2867449475606692293 |