| Vertices: | 30 (30[4]) |
| Faces: | 26 (20 equilateral triangles + 6 regular decagons) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(sqrt(15*(5−2*sqrt(5)))/15) | ≈79.187683036 degrees |
| Dual Solid: | Small Icosihemidodecacron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | (1+sqrt(5))/2 | ≈1.6180339887498948482 |
| Midscribed Radius: | sqrt((5+2*sqrt(5))/4) | ≈1.5388417685876267013 |
| Decagon Center Radius: | 0 |
| Triangle Center Radius: | (3*sqrt(3)+sqrt(15))/6 | ≈1.5115226281523414610 |
| References: | [1] | Jean Paul Albert Badoureau, Mémoire sur les Figures Isocèles,
Journal de l'École polytechnique 49 (1881), 47-172. |
|