| Vertices: | 30 (30[4]) |
| Faces: | 18 (12 regular pentagrams + 6 regular decagrams) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(5)/5) | ≈63.434948823 degrees |
| Dual Solid: | Great Dodecahemidodecacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | (sqrt(5)−1)/2 | ≈0.61803398874989484820 |
| Midscribed Radius: | sqrt(5−2*sqrt(5))/2 | ≈0.363271264002680442948 |
| Decagram Center Radius: | 0 |
| Pentagram Center Radius: | sqrt(5*(5−2*sqrt(5)))/5 | ≈0.32491969623290632616 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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