Vertices: | 180 (60[4] + 60[4] + 60[4]) |
Faces: | 182 (12 regular decagons + 20 regular hexagons + 30 squares + {60 * 2} acute triangles) |
Edges: | 360 (120 short + 120 medium + 120 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on short edge length = 1) |
Short Edge (120): | 1 |
Medium Edge (120): | sqrt(6)/2 | ≈1.2247448713915890491 |
Long Edge (120): | sqrt(5+sqrt(5))/2 | ≈1.3449970239279146539 |
Circumscribed Radius: | sqrt(3*(5+2*sqrt(5))) | ≈5.3307042560058364373 |
Volume: | 5*(153*sqrt(2)+79*sqrt(10))/4 | ≈582.74326274548188712 |