| Vertices: | 122 (20[3] + 60[4] + 30[4] + 12[5]) |
| Faces: | 120 (60 short kites + 60 long kites) |
| Edges: | 240 (60 short + 120 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Long Edge Angle: | acos(−(35+sqrt(5))/40) | ≈158.575812472 degrees |
| Medium Edge Angle: | acos(−(5+2*sqrt(5))/10) | ≈161.3005929149 degrees |
| Short Edge Angle: | acos(−(15+2*sqrt(5))/20) | ≈166.807000959 degrees |
| (values below based on unit-edge-length Rhombicosidodecahedron) |
| Short Edge (60): | sqrt(171−4*sqrt(5))/22 | ≈0.57864141269310548062 |
| Medium Edge (120): | sqrt(11−4*sqrt(5))/2 | ≈0.71689052337174209824 |
| Long Edge (60): | sqrt(19+4*sqrt(5))/6 | ≈0.88103903164261366946 |
| Short Kite Length: | sqrt(5*(85−31*sqrt(5)))/11 | ≈0.80499198439381116988 |
| Short Kite Width: | 1 |
| Long Kite Length: | sqrt(5*(5−sqrt(5)))/3 | ≈1.2391601148672816338 |
| Long Kite Width: | 1 |
| [3]-Vertex Radius (20): | (5*sqrt(3)+4*sqrt(15))/11 | ≈2.1956534020612776371 |
| [4]-Vertex Radius (60): | sqrt(11+4*sqrt(5))/2 | ≈2.2329505094156900495004 |
| [4]-Vertex Radius (30): | sqrt(5) | ≈2.2360679774997896964 |
| [5]-Vertex Radius (12): | sqrt(5*(5+2*sqrt(5)))/3 | ≈2.2939698674519558970 |
| Inscribed Radius: | sqrt(2*(5+2*sqrt(5)))/2 | ≈2.1762508994828215111 |
| Volume: | 50*(7+10*sqrt(5))/33 | ≈44.485878446966510552 |