| Vertices: | 360 (120[3] + 120[3] + 120[3]) |
| Faces: | 182 (12 pent-symmetric 20-gons + 20 tri-symmetric dodecagons
+ 30 bi-mirror-symmetric octagons + {60 * 2} acute triangles) |
| Edges: | 540 (6 different lengths) |
| Symmetry: | Full Icosahedral (Ih) |
| (values below based on edge-scribed radius = 1) |
| Edge 1 (60): | (70−30*sqrt(5)
−2*sqrt(30*(85−38*sqrt(5))))/10 | ≈0.10391252375719966148 |
| Edge 2 (120): | (570−225*sqrt(5)−2*sqrt(30*(5525
−2462*sqrt(5))))/165 | ≈0.10993750060369274382 |
| Edge 3 (60): | (9*sqrt(5)−3
−sqrt(6*(25+2*sqrt(5))))/33 | ≈0.11596247745018582616 |
| Edge 4 (120): | (315−155*sqrt(5)+2*sqrt(15*(4325
−1919*sqrt(5))))/110 | ≈0.12332931419372689487 |
| Edge 5 (120): | (15*sqrt(5)−45
+2*sqrt(3*(125−41*sqrt(5))))/66 | ≈0.12935429104021997721 |
| Edge 6 (60): | (2*sqrt(5)−14
+sqrt(6*(25−2*sqrt(5))))/11 | ≈0.14274610463025412826 |
| Edge-scribed Radius: | 1 |
| Volume: | (5208*sqrt(5)+2*sqrt(6*(13712665
−6128938*sqrt(5)))−11700)/99 | ≈3.8591548611990857261 |