| Vertices: | 30 (30[4]) |
| Faces: | 22 (12 regular pentagrams + 10 regular hexagons) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(15*(5−2*sqrt(5)))/15) | ≈79.187683036 degrees |
| Dual Solid: | Small Dodecahemicosacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | 1 |
| Midscribed Radius: | sqrt(3)/2 | ≈0.86602540378443864676 |
| Hexagon Center Radius: | 0 |
| Pentagram Center Radius: | sqrt(10*(5+sqrt(5)))/10 | ≈0.85065080835203993218 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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