Vertices: | 12 (12[5]) |
Faces: | 20 (equilateral triangles) |
Edges: | 30 |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−sqrt(5)/3) | ≈138.189685104 degrees |
Dual Solid: | Dodecahedron |
(values below based on edge length = 1) |
Circumscribed Radius: | sqrt(2*(5+sqrt(5)))/4 | ≈0.95105651629515357212 |
Midscribed Radius: | (1+sqrt(5))/4 | ≈0.80901699437494742410 |
Inscribed Radius: | (3*sqrt(3)+sqrt(15))/12 | ≈0.75576131407617073048 |
Volume: | 5*(3+sqrt(5))/12 | ≈2.181694990624912373504 |
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