| Vertices: | 60 (60[4]) |
| Faces: | 32 (20 regular hexagons + 12 regular decagrams) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle 1 (60): | acos(sqrt(15*(5+2*sqrt(5)))/15) | ≈37.377368141 degrees |
| Dihedral Angle 2 (60): | acos(−sqrt(15*(5−2*sqrt(5)))/15) | ≈100.812316964 degrees |
| Dual Solid: | Great Dodecicosacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(2*(17−3*sqrt(5)))/4 | ≈1.1342285961998925302 |
| Midscribed Radius: | sqrt(6*(5−sqrt(5)))/4 | ≈1.0180739209102543669 |
| Hexagon Center Radius: | sqrt(6*(3−sqrt(5)))/4 | ≈0.53523313465963489791 |
| Decagram Center Radius: | sqrt(2*(5+sqrt(5)))/4 | ≈0.95105651629515357212 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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