| Vertices: | 20 (20[3]) |
| Faces: | 12 (regular pentagrams) |
| Edges: | 30 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(5)/5) | ≈63.434948823 degrees |
| Dual Solid: | Great Icosahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | (sqrt(15)−sqrt(3))/4 | ≈0.53523313465963489791 |
| Midscribed Radius: | (3−sqrt(5))/4 | ≈0.19098300562505257590 |
| Inscribed Radius: | sqrt(10*(25−11*sqrt(5)))/20 | ≈0.10040570794311363993 |
| References: | [1] | Johannes Kepler, Harmonices Mundi (1619). |
| [2] | Johannes Kepler with E. J. Aiton, A. M. Duncan,
and J. V. Field, translators, The Harmony of the World,
American Philosophical Society (1997). |
|