| Vertices: | 62 (30[4] + 20[6] + 12[10]) |
| Faces: | 120 (acute triangles) |
| Edges: | 180 (60 short + 60 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Short Edge Angle: | acos(root[8th-order polynomial]) | ≈148.783008052 degrees |
| Medium Edge Angle: | acos(root[8th-order polynomial]) | ≈159.873954027 degrees |
| Long Edge Angle: | acos(root[8th-order polynomial]) | ≈178.075866533 degrees |
| Dual Solid: | Biscribed Truncated Icosidodecahedron |
| (values below based on circumscribed radius = 1) |
| Short Edge (60): | sqrt(3*(6−sqrt(3)−sqrt(15)))/3 | ≈0.36284332992983157096 |
| Medium Edge (60): | sqrt(5*(10−sqrt(10*(5+sqrt(5)))))/5 | ≈0.546533057825343384449 |
| Long Edge (60): | sqrt(30*(15−sqrt(15*(5+2*sqrt(5)))))/15 | ≈0.64085182017098754129 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | 1/sqrt(13−4*sqrt(3)+4*sqrt(5)
−2*sqrt(15)−2*sqrt(5+2*sqrt(5))) | ≈0.94714004379880998659 |
| Volume: | 4*sqrt(15*(5−2*sqrt(5)))/3 | ≈3.7518494817015979972 |