| Vertices: | 32 (20[3] + 12[5]) |
| Faces: | 30 (rhombi) |
| Edges: | 60 (equal length) |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos((sqrt(5)-1)/4) | 72 degrees |
| Dual Solid: | Great Icosidodecahedron |
| (values below based on unit-edge-length Great Icosidodecahedron) |
| Edge Length: | sqrt(10*(5-sqrt(5)))/8 | ≈0.65716389014891700753 |
| Rhombus Length: | sqrt(5)/2 | ≈1.1180339887498948482 |
| Rhombus Width: | (5-sqrt(5))/4 | ≈0.69098300562505257590 |
| [5]-Vertex Radius (12): | sqrt(5*(5-2*sqrt(5)))/4 | ≈0.40614962029113290769 |
| [3]-Vertex Radius (20): | (5*sqrt(3)-sqrt(15))/8 | ≈0.59840883645462119781 |
| Edge-scribed Radius: | sqrt(5-2*sqrt(5))/2 | ≈0.363271264002680442948 |
| Inscribed Radius: | (3*sqrt(5)-5)/8 | ≈0.213525491562421136153 |
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