| Vertices: | 200 (20[3] + 60[3] + 60[3] + 60[3]) |
| Faces: | 102 (30 squares + 12 regular pentagons + 60 mirror-symmetric heptagons) |
| Edges: | 300 (60 short + 240 long) |
| Symmetry: | Full Icosahedral (Ih) |
| (values below based on long edge length = 1) |
| Short Edge (60): | (21−3*sqrt(5)+sqrt(2*(185+70*sqrt(2)
−39*sqrt(5)−54*sqrt(10))))/22 | ≈0.97756394913259197958 |
| Long Edge (240): | 1 |
| Max Vertex Radius: | sqrt(10*(45+15*sqrt(2)+15*sqrt(5)+5*sqrt(10)
+sqrt(10*(255+180*sqrt(2)
+113*sqrt(5)+80*sqrt(10)))))/10 | ≈4.6510596187906567549 |
| Volume: | (875+490*sqrt(2)+645*sqrt(5)+436*sqrt(10)
+12*sqrt(37135+24510*sqrt(2)
+13219*sqrt(5)+9510*sqrt(10)))/22 | ≈397.24371304245023757 |