| Vertices: | 62 (20[3] + 30[4] + 12[5]) |
| Faces: | 60 (kites) |
| Edges: | 120 (60 short + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Long Edge Angle: | acos(−(15+sqrt(5))/20) | ≈149.5196754346 degrees |
| Short Edge Angle: | acos(−(5+2*sqrt(5))/10) | ≈161.3005929149 degrees |
| (values below based on unit-edge-length Icosidodecahedron) |
| Short Edge (60): | sqrt(2*(13−sqrt(5)))/8 | ≈0.57997661651408979196 |
| Long Edge (60): | sqrt(9+2*sqrt(5))/4 | ≈0.91761020983175296841 |
| Kite Length: | sqrt(10*(5+sqrt(5)))/8 | ≈1.0633135104400499152 |
| Kite Width: | 1 |
| [3]-Vertex Radius (20): | (5*sqrt(3)+sqrt(15))/8 | ≈1.5666546730064754191 |
| [4]-Vertex Radius (30): | (1+sqrt(5))/2 | ≈1.6180339887498948482 |
| [5]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/4 | ≈1.7204774005889669228 |
| Inscribed Radius: | sqrt(5+2*sqrt(5))/2 | ≈1.5388417685876267013 |
| Volume: | 25*(3+sqrt(5))/8 | ≈16.362712429686842801 |
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