| Vertices: | 60 (60[4]) |
| Faces: | 42 (30 squares + 12 regular decagons) |
| 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) | ≈121.717474411 degrees |
| Dual Solid: | Small Rhombidodecacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(11+4*sqrt(5))/2 | ≈2.2329505094156900495004 |
| Midscribed Radius: | sqrt(2*(5+2*sqrt(5)))/2 | ≈2.1762508994828215111 |
| Decagon Center Radius: | sqrt(5+2*sqrt(5))/2 | ≈1.5388417685876267013 |
| Square Center Radius: | (2+sqrt(5))/2 | ≈2.1180339887498948482 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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