| Vertices: | 12 (12[5]) |
| Faces: | 12 (regular pentagons) |
| Edges: | 30 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(5)/5) | ≈63.434948823 degrees |
| Dual Solid: | Small Stellated Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(5+sqrt(5)))/4 | ≈0.95105651629515357212 |
| Midscribed Radius: | (1+sqrt(5))/4 | ≈0.80901699437494742410 |
| Inscribed Radius: | sqrt(10*(5+sqrt(5)))/20 | ≈0.42532540417601996609 |
| References: | [1] | Louis Poinsot, Mémoire sur les Polygones et Polyèdres,
Journal de l'École polytechnique 10 (1810), 16-48. |
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