Vertices: | 110 (20[3] + 60[3] + 30[4]) |
Faces: | 72 (12 regular pentagons + 60 mirror-symmetric pentagons) |
Edges: | 180 (60 short + 60 medium + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
(values below based on edge-scribed radius = 1) |
Short Edge (60): | (24*sqrt(5)-66 +4*sqrt(565-239*sqrt(5)))/41 | ≈0.23866382352302767009 |
Medium Edge (60): | (53*sqrt(5)-115 +2*sqrt(565-239*sqrt(5)))/41 | ≈0.35539988926130353146 |
Long Edge (60): | (13*sqrt(5)-25)/11 | ≈0.36989851886338782303 |
Volume: | (5718108*sqrt(5)-12357180 +8*sqrt(10*(6614886442825 -2953326191098*sqrt(5))))/758131 | ≈4.0732000463388408062 |