| Vertices: | 60 (60[4]) |
| Faces: | 44 (20 equilateral triangles + 12 regular pentagons
+ 12 regular decagons) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Decagon-Pentagon Angle: | acos(−sqrt(5)/5) | ≈116.565051177 degrees |
| Decagon-Triangle Angle: | acos(sqrt(15*(5+2*sqrt(5)))/15) | ≈322.622631859 degrees |
| Dual Solid: | Small Dodecacronic Hexecontahedron |
| (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 |
| Pentagon Center Radius: | 3*sqrt(5*(5+2*sqrt(5)))/10 | ≈2.0645728807067603073 |
| Triangle Center Radius: | (3*sqrt(3)+2*sqrt(15))/6 | ≈2.1570198525202442752 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
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