Vertices: | 132 (60[3] + 60[3] + 12[5]) |
Faces: | 80 (60 mirror-symmetric pentagons + 20 regular hexagons) |
Edges: | 210 (150 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on short edge length = 1) |
Short Edge (150): | 1 |
Long Edge (60): | (27+7*sqrt(3)+3*sqrt(5)+5*sqrt(15))/38 | ≈1.7157230609610156466 |
Max Vertex Radius: | 3*sqrt(2*(1865+700*sqrt(3) +659*sqrt(5)+348*sqrt(15)))/76 | ≈4.2875045166284896310 |
Edge-scribed Radius: | (3+2*sqrt(3)+sqrt(5)+2*sqrt(15))/4 | ≈4.11153407126309451346 |
Volume: | 5*(825+708*sqrt(3)+573*sqrt(5)+256*sqrt(15))/76 | ≈284.47649075626600937 |