| Vertices: | 60 (60[4]) |
| Faces: | 62 (20 equilateral triangles + 30 squares + 12 regular pentagons) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Pentagon-Square Angle: | acos(−sqrt(10*(5+sqrt(5)))/10) | ≈148.282525589 degrees |
| Square-Triangle Angle: | acos(−(sqrt(3)+sqrt(15))/6) | ≈159.094842552 degrees |
| Dual Solid: | Deltoidal 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 |
| Pentagon Center Radius: | 3*sqrt(5*(5+2*sqrt(5)))/10 | ≈2.0645728807067603073 |
| Square Center Radius: | (2+sqrt(5))/2 | ≈2.1180339887498948482 |
| Triangle Center Radius: | (3*sqrt(3)+2*sqrt(15))/6 | ≈2.1570198525202442752 |
| Volume: | (60+29*sqrt(5))/3 | ≈41.6153237824979670653 |