Vertices: | 180 (60[3] + 60[3] + 60[3]) |
Faces: | 92 (12 regular pentagons + 20 regular hexagons + 60 mirror-symmetric hexagons) |
Edges: | 270 (60 short + 60 medium + 150 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on short edge length = 1) |
Short Edge (60): | 1 |
Medium Edge (60): | (sqrt(15)−sqrt(3))/2 | ≈1.0704662693192697958 |
Long Edge (150): | sqrt(15)−sqrt(3)−1 | ≈1.1409325386385395917 |
Max Vertex Radius: | sqrt(2*(261+4*sqrt(3)−33*sqrt(5)−4*sqrt(15)))/4 | ≈4.7255426485742457752 |
Edge-scribed Radius: | (21−sqrt(5))/4 | ≈4.6909830056250525759 |
Volume: | (405+5100*sqrt(3)+397*sqrt(5)−2180*sqrt(15))/4 | ≈420.76860273413047419 |