| Vertices: | 60 (60[4]) |
| Faces: | 50 (30 squares + 20 regular hexagons) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle 1 (60): | acos((sqrt(3)+sqrt(15))/6) | ≈20.905157448 degrees |
| Dihedral Angle 2 (60): | acos(−(sqrt(15)−sqrt(3))/6) | ≈110.905157448 degrees |
| Dual Solid: | Rhombicosacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(7)/2 | ≈1.3228756555322952953 |
| Midscribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
| Hexagon Center Radius: | sqrt(3)/2 | ≈0.86602540378443864676 |
| Square Center Radius: | sqrt(5)/2 | ≈1.1180339887498948482 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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