Vertices: | 200 (20[3] + 60[3] + 60[3] + 60[4]) |
Faces: | 132 (12 regular pentagons + {60 * 2} mirror-symmetric pentagons) |
Edges: | 330 (5 different lengths) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on edge-scribed radius = 1) |
Edge 1 (60): | (2115−651*sqrt(5) −4*sqrt(386005−166609*sqrt(5)))/1189 | ≈0.16427300497188634926 |
Edge 2 (30): | (39−23*sqrt(5) +4*sqrt(2965−1201*sqrt(5)))/281 | ≈0.19374142380149879307 |
Edge 3 (60): | (16983−6553*sqrt(5) +25*sqrt(1224145−546829*sqrt(5)))/13079 | ≈0.249625658493937330547 |
Edge 4 (120): | (1479−829*sqrt(5) +3*sqrt(2331425−972061*sqrt(5)))/3091 | ≈0.264359867908743552453 |
Edge 5 (60): | sqrt(145−61*sqrt(5))/11 | ≈0.26659551453067363237 |
Edge-scribed Radius: | 1 |
Volume: | root[57152766060269*(x^4) +6053480169891000*(x^3) −336352644629194000*(x^2) +1962570915393840000*x −2813431334175200000] | ≈4.12574099141931206453 |