Vertices: | 32 (20[3] + 12[5]) |
Faces: | 20 (triambi) |
Edges: | 60 (equal length) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−1/3) | ≈109.471220634 degrees |
Dual Solid: | Great Ditrigonal Icosidodecahedron |
(values below based on unit-edge-length Great Ditrigonal Icosidodecahedron) |
Edge Length: | (5*sqrt(2)+3*sqrt(10))/5 | ≈3.3115801584741226480 |
[3]-Vertex Radius (20): | sqrt(15)/5 | ≈0.77459666924148337704 |
[5]-Vertex Radius (12): | sqrt(5+2*sqrt(5)) | ≈3.0776835371752534026 |
Edge-scribed Radius: | sqrt(2)/2 | ≈0.70710678118654752440 |
Inscribed Radius: | sqrt(3)/3 | ≈0.57735026918962576451 |
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