| Vertices: | 120 (120[3]) |
| Faces: | 62 (30 rectangles + 20 ditrigons + 12 dipentagons) |
| Edges: | 180 (60 short + 60 medium + 60 long) |
| Symmetry: | Full Icosahedral (Ih) |
| Short Edge Angle: | acos(−sqrt(15*(5+2*sqrt(5)))/15) | ≈142.622631859 degrees |
| Medium Edge Angle: | acos(−sqrt(10*(5+sqrt(5)))/10) | ≈148.282525589 degrees |
| Long Edge Angle: | acos(−(sqrt(3)+sqrt(15))/6) | ≈159.094842552 degrees |
| Dual Solid: | Biscribed Disdyakis Triacontahedron |
| (values below based on inscribed radius = 1) |
| Short Edge (60): | (4−3*sqrt(3)+4*sqrt(5)−sqrt(15)
−sqrt(2*(5+sqrt(5))))/2 | ≈0.0354550379522478657047 |
| Medium Edge (60): | sqrt(3)−3−sqrt(5)+sqrt(15) | ≈0.36896617627650448230 |
| Long Edge (60): | sqrt(2*(5+sqrt(5)))−sqrt(5)−1 | ≈0.56815808768082459206 |
| Circumscribed Radius: | sqrt(13−4*sqrt(3)+4*sqrt(5)
−2*sqrt(15)−2*sqrt(5+2*sqrt(5))) | ≈1.05581007428339545847 |
| Inscribed Radius: | 1 |
| Volume: | 10*(8−11*sqrt(3)+4*sqrt(5)−3*sqrt(15)
+sqrt(2*(1705−900*sqrt(3)
+707*sqrt(5)−420*sqrt(15)))) | ≈4.4324836253368968103 |