| Vertices: | 20 (20[6]) |
| Faces: | 24 (12 regular pentagons + 12 regular pentagrams) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(5)/5) | ≈63.434948823 degrees |
| Dual Solid: | Medial Triambic Icosahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(3)/2 | ≈0.86602540378443864676 |
| Midscribed Radius: | sqrt(2)/2 | ≈0.70710678118654752440 |
| Pentagon Center Radius: | −sqrt(5*(5−2*sqrt(5)))/10 | ≈−0.16245984811645316308 |
| Pentagram Center Radius: | sqrt(5*(5+2*sqrt(5)))/10 | ≈0.68819096023558676910 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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