Vertices: | 104 (80[3] + 12[5] + 12[5]) |
Faces: | 60 (irregular hexagons) |
Edges: | 180 (60 short + 60 medium + 60 long) |
Symmetry: | Chiral Icosahedral (I) |
Dihedral Angle: | acos(0) | 90 degrees |
Dual Solid: | Great Snub Dodecicosidodecahedron |
(values below based on unit-edge-length Great Snub Dodecicosidodecahedron) |
Short Edge (60): | sqrt(2*(sqrt(5)−1−2*sqrt(sqrt(5)−2)))/4 | ≈0.18177301573201753013 |
Medium Edge (60): | sqrt(2*(sqrt(5)−1+2*sqrt(sqrt(5)−2)))/4 | ≈0.52533376545452999427 |
Long Edge (60): | sqrt(2)/2 | ≈0.70710678118654752440 |
[5]-Vertex Radius (24): | sqrt(2*sqrt(5))/4 | ≈0.52868563172028205977 |
[3]-Vertex Radius (80): | sqrt(6)/4 | ≈0.612372435695794524549 |
Edge-scribed Radius: | 1/2 | ≈0.5 |
Inscribed Radius: | sqrt(2)/4 | ≈0.35355339059327376220 |