Vertices: | 42 (30[4] + 12[10]) |
Faces: | 60 (bowties) |
Edges: | 120 (60 short + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−(19+8*sqrt(5))/41) | ≈154.121363126 degrees |
Dual Solid: | Small Rhombidodecahedron |
(values below based on unit-edge-length Small Rhombidodecahedron) |
Short Edge (60): | sqrt(5−sqrt(5)) | ≈1.6625077511098137144 |
Long Edge (60): | sqrt(5+sqrt(5)) | ≈2.6899940478558293078 |
[4]-Vertex Radius (30): | sqrt(5) | ≈2.2360679774997896964 |
[10]-Vertex Radius (12): | sqrt(5+2*sqrt(5)) | ≈3.0776835371752534026 |
Edge-scribed Radius: | sqrt(2*(5+2*sqrt(5)))/2 | ≈2.1762508994828215111 |
Inscribed Radius: | sqrt(205*(19+8*sqrt(5)))/41 | ≈2.12099101951843341751 |
|