| Vertices: | 32 (12[5] + 20[6]) |
| Faces: | 60 (isosceles triangles) |
| Edges: | 90 (60 short + 30 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Short Edge Angle: | acos(−(255*sqrt(5)−7
+sqrt(6*(5105+2099*sqrt(5))))/898) | ≈153.789590509 degrees |
| Long Edge Angle: | acos(−(560−195*sqrt(5)
+12*sqrt(15*(1205+298*sqrt(5))))/2245) | ≈161.946011928 degrees |
| Dual Solid: | Biscribed Truncated Icosahedron |
| (values below based on circumscribed radius = 1) |
| Short Edge (60): | sqrt(30*(15−sqrt(15*(5+2*sqrt(5)))))/15 | ≈0.64085182017098754129 |
| Long Edge (30): | (sqrt(15)−sqrt(3))/3 | ≈0.71364417954617986388 |
| Circumscribed Radius: | 1 |
| Inscribed Radius: | 1/sqrt(10−sqrt(5)−sqrt(6*(5+sqrt(5)))) | ≈0.92260219454398946762 |
| Volume: | 2*sqrt(10*(5−sqrt(5)))/3 | ≈3.5048740807942240402 |