Vertices: | 20 (20[3]) |
Faces: | 12 (regular pentagons) |
Edges: | 30 |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−sqrt(5)/5) | ≈116.565051177 degrees |
Dual Solid: | Icosahedron |
(values below based on edge length = 1) |
Circumscribed Radius: | (sqrt(3)+sqrt(15))/4 | ≈1.4012585384440735447 |
Midscribed Radius: | (3+sqrt(5))/4 | ≈1.3090169943749474241 |
Inscribed Radius: | sqrt(10*(25+11*sqrt(5)))/20 | ≈1.1135163644116067352 |
Volume: | (15+7*sqrt(5))/4 | ≈7.6631189606246319687 |
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