Vertices: | 140 (20[3] + 60[3] + 60[3]) |
Faces: | 72 (60 mirror-symmetric pentagons + 12 regular decagons) |
Edges: | 210 (60 short + 150 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on long edge length = 1) |
Short Edge (60): | (15−sqrt(5)+sqrt(2*(65−19*sqrt(5))))/22 | ≈0.88519673635010309707 |
Long Edge (150): | 1 |
Max Vertex Radius: | sqrt(2*(45+17*sqrt(5)+4*sqrt(2*(25+11*sqrt(5)))))/4 | ≈3.9187295163040551007 |
Edge-scribed Radius: | (1+sqrt(5)+4*sqrt(5+2*sqrt(5)))/4 | ≈3.8867005315502008267 |
Volume: | 5*(365+247*sqrt(5) +2*sqrt(2*(77285+33311*sqrt(5))))/44 | ≈229.45459936431466091 |