| Vertices: | 92 (20[3] + 60[3] + 12[10]) |
| Faces: | 90 (60 kites + 30 rhombi) |
| Edges: | 180 (60 short + 120 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Long Edge Angle: | acos(−(5+2*sqrt(5))/10) | ≈161.3005929149 degrees |
| Short Edge Angle: | acos(−(13+3*sqrt(5))/20) | ≈170.200773629 degrees |
| (values below based on unit-edge-length Truncated Dodecahedron) |
| Short Edge (60): | sqrt(6*(119−5*sqrt(5)))/44 | ≈0.57805868144301361253 |
| Long Edge (120): | sqrt(2*(17+5*sqrt(5)))/4 | ≈1.8768437563999216822 |
| Rhombus Length: | (5+sqrt(5))/2 | ≈3.6180339887498948482 |
| Rhombus Width: | 1 |
| Kite Length: | 5*(7+sqrt(5))/22 | ≈2.09910635852267947646 |
| Kite Width: | 1 |
| [3]-Vertex Radius (20): | 5*(3*sqrt(3)+2*sqrt(15))/22 | ≈2.9413907079821512843 |
| [3]-Vertex Radius (60): | sqrt(2*(37+15*sqrt(5)))/4 | ≈2.9694490158633984670 |
| [10]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/2 | ≈3.44095480117793384552 |
| Inscribed Radius: | (5+3*sqrt(5))/4 | ≈2.9270509831248422723 |
| Volume: | 25*(47+24*sqrt(5))/22 | ≈114.39276302272153717 |