| Vertices: | 60 (60[4]) |
| Faces: | 42 (30 squares + 12 regular decagrams) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle 1 (60): | acos(sqrt(10*(5+sqrt(5)))/10) | ≈31.717474411 degrees |
| Dihedral Angle 2 (60): | acos(sqrt(10*(5−sqrt(5)))/10) | ≈58.282525589 degrees |
| Dual Solid: | Great Rhombidodecacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(11−4*sqrt(5))/2 | ≈0.71689052337174209824 |
| Midscribed Radius: | sqrt(2*(5−2*sqrt(5)))/2 | ≈0.51374314837300779674 |
| Square Center Radius: | (sqrt(5)−2)/2 | ≈0.11803398874989484820 |
| Decagram Center Radius: | sqrt(5−2*sqrt(5))/2 | ≈0.363271264002680442948 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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