| Vertices: | 92 (60[3] + 12[5] + 20[6]) |
| Faces: | 90 (60 kites + 30 rhombi) |
| Edges: | 180 (60 short + 120 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Long Edge Angle: | acos(−(9+sqrt(5))/12) | ≈159.445557343 degrees |
| Short Edge Angle: | acos(−17/18) | ≈160.811863546 degrees |
| (values below based on unit-edge-length Truncated Icosahedron) |
| Short Edge (60): | (5*sqrt(7)+9*sqrt(35))/76 | ≈0.87465098162130917547 |
| Long Edge (120): | sqrt(2*(29−9*sqrt(5)))/4 | ≈1.0532917569755953386 |
| Rhombus Length: | 3*(sqrt(5)−1)/2 | ≈1.8541019662496845446 |
| Rhombus Width: | 1 |
| Kite Length: | 9*(2*sqrt(5)−1)/19 | ≈1.6446959786840112913 |
| Kite Width: | 1 |
| [3]-Vertex Radius (60): | sqrt(2*(29+9*sqrt(5)))/4 | ≈2.4780186590676155376 |
| [5]-Vertex Radius (12): | 9*sqrt(65+22*sqrt(5))/38 | ≈2.53092686862706152146 |
| [6]-Vertex Radius (20): | 3*sqrt(3)/2 | ≈2.5980762113533159403 |
| Inscribed Radius: | 3*(1+sqrt(5))/4 | ≈2.4270509831248422723 |
| Volume: | 45*(46+3*sqrt(5))/38 | ≈62.417609920065042343 |