| Vertices: | 30 (30[4]) |
| Faces: | 32 (20 equilateral triangles + 12 regular pentagons) |
| Edges: | 60 |
| Symmetry: | Full Icosahedral (Ih) |
| Dihedral Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Dual Solid: | Rhombic Triacontahedron |
| (values below based on edge length = 1) |
| Circumscribed Radius: | (1+sqrt(5))/2 | ≈1.6180339887498948482 |
| Midscribed Radius: | sqrt(5+2*sqrt(5))/2 | ≈1.5388417685876267013 |
| Pentagon Center Radius: | sqrt(5*(5+2*sqrt(5)))/5 | ≈1.3763819204711735382 |
| Triangle Center Radius: | (3*sqrt(3)+sqrt(15))/6 | ≈1.5115226281523414610 |
| Volume: | (45+17*sqrt(5))/6 | ≈13.835525936249404140 |
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