| Vertices: | 360 (60[3] + 60[3] + 60[3] + 60[3] + 60[3] + 60[3]) |
| Faces: | 182 (30 squares + 20 regular hexagons + 120 irregular hexagons
+ 12 regular decagons) |
| Edges: | 540 (60 short + 420 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| (values below based on medium edge length = 1) |
| Short Edge (60): | (15−5*sqrt(5)+5*sqrt(6)−sqrt(30)
−sqrt(6*(85−35*sqrt(5)
−30*sqrt(6)+14*sqrt(30))))/6 | ≈0.478247821996301297549 |
| Medium Edge (420): | 1 |
| Long Edge (60): | (16−4*sqrt(5)+3*sqrt(6)−sqrt(30)
−2*sqrt(6*(25−10*sqrt(5)
−10*sqrt(6)+4*sqrt(30))))/6 | ≈1.2992813753803161154 |
| Max Vertex Radius: | sqrt(6*(51+17*sqrt(5)+13*sqrt(6)+5*sqrt(30)
+sqrt(6*(235+97*sqrt(5)
+90*sqrt(6)+38*sqrt(30)))))/6 | ≈6.0680360939789588409 |
| Volume: | 5*(−144*sqrt(2)+18*sqrt(3)
+405*sqrt(10)+216*sqrt(15)
+sqrt(6*(696565−3149*sqrt(5)
+281760*sqrt(6)−276*sqrt(30))))/27 | ≈892.66999389836469811 |