| Vertices: | 20 (20[6]) |
| Faces: | 20 (ditrigons) |
| Edges: | 60 (30 short + 30 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Convex Dihedral Angle: | acos(sqrt(5)/3) | ≈41.810314896 degrees |
| Concave Dihedral Angle: | acos(−sqrt(5)/3) | ≈221.810314896 degrees |
| Dual Solid: | Hugel's Polyhedron (itself) |
| (values below based on short edge length = 1) |
| Short Edge (30): | 1 |
| Long Edge (30): | (3+sqrt(5))/2 | ≈2.6180339887498948482 |
| Circumscribed Radius: | (sqrt(3)+sqrt(15))/4 | ≈1.4012585384440735447 |
| Inscribed Radius: | (sqrt(3)+sqrt(15))/12 | ≈0.46708617948135784823 |
| References: | [1] | Theodor Hugel, Die regulären und halbregulären Polyeder,
Gottschick-Witter, Neustadt an der Haardt, (1876). |
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