| Vertices: | 60 (60[4]) |
| Faces: | 44 (12 regular pentagons + 12 regular pentagrams
+ 20 regular hexagons) |
| Edges: | 120 |
| Symmetry: | Full Icosahedral (Ih) |
| Hexagon-Pentagon Angle: | acos(−sqrt(15*(5−2*sqrt(5)))/15) | ≈100.812316964 degrees |
| Hexagon-Pentagram Angle: | acos(sqrt(15*(5+2*sqrt(5)))/15) | ≈322.622631859 degrees |
| Dual Solid: | Medial Icosacronic Hexecontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(7)/2 | ≈1.3228756555322952953 |
| Midscribed Radius: | sqrt(6)/2 | ≈1.2247448713915890491 |
| Hexagon Center Radius: | sqrt(3)/2 | ≈0.86602540378443864676 |
| Pentagon Center Radius: | sqrt(5*(25−2*sqrt(5)))/10 | ≈1.0131106564684930953 |
| Pentagram Center Radius: | sqrt(5*(25+2*sqrt(5)))/10 | ≈1.2139220723547203751 |