| Vertices: | 60 (60[6]) |
| Faces: | 112 (100 equilateral triangles + 12 regular pentagrams) |
| Edges: | 180 |
| Symmetry: | Full Icosahedral (Ih) |
| Triangle-Triangle Angle: | acos(sqrt(3+2*sqrt(5))/3) | ≈24.331958571 degrees |
| Pentagram-Triangle Angle: | acos(sqrt(15*(15−2*sqrt(5)
−2*sqrt(5*(6*sqrt(5)−13))))/15) | ≈44.457531808 degrees |
| Dual Solid: | Small Hexagrammic Hexecontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | sqrt(13+3*sqrt(5)
−sqrt(2*(51+23*sqrt(5))))/4 | ≈0.58069480013392095329 |
| Midscribed Radius: | sqrt(9+3*sqrt(5)
−sqrt(2*(51+23*sqrt(5))))/4 | ≈0.29530738375898155383 |
| Triangle Center Radius: | sqrt(3*(23+9*sqrt(5)
−3*sqrt(2*(51+23*sqrt(5)))))/12 | ≈0.06223437610550192586 |
| Pentagram Center Radius: | −sqrt(5*(25+23*sqrt(5)
−5*sqrt(2*(51+23*sqrt(5)))))/20 | ≈−0.24660342384596644531 |