| Vertices: | 30 (30[4]) |
| Faces: | 26 (20 equilateral triangles + 6 regular decagrams) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(15*(5+2*sqrt(5)))/15) | ≈37.377368141 degrees |
| Dual Solid: | Great Icosihemidodecacron |
| (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 |
| Triangle Center Radius: | (3*sqrt(3)−sqrt(15))/6 | ≈0.22052817941653583257 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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