| Vertices: | 12 (12[5]) |
| Faces: | 20 (equilateral triangles) |
| Edges: | 30 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(5)/3) | ≈41.810314896 degrees |
| Dual Solid: | Great Stellated Dodecahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(5−sqrt(5)))/4 | ≈0.58778525229247312917 |
| Midscribed Radius: | (sqrt(5)−1)/4 | ≈0.30901699437494742410 |
| Inscribed Radius: | (3*sqrt(3)−sqrt(15))/12 | ≈0.11026408970826791628 |
| References: | [1] | Louis Poinsot, Mémoire sur les Polygones et Polyèdres,
Journal de l'École polytechnique 10 (1810), 16-48. |
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