Vertices: | 44 (20[6] + 12[10] + 12[10]) |
Faces: | 120 (obtuse triangles) |
Edges: | 180 (60 short + 60 medium + 60 long) |
Symmetry: | Full Icosahedral (Ih) |
Dihedral Angle: | acos(−7/8) | ≈151.044975628 degrees |
Dual Solid: | Icositruncated Dodecadodecahedron |
(values below based on unit-edge-length Icositruncated Dodecadodecahedron) |
Short Edge (60): | 5*(sqrt(15)−sqrt(3))/8 | ≈1.3380828366490872448 |
Medium Edge (60): | 3*sqrt(15)/4 | ≈2.9047375096555626639 |
Long Edge (60): | 5*(sqrt(3)+sqrt(15))/8 | ≈3.5031463461101838617 |
[10]-Vertex Radius (12): | 3*sqrt(10*(5−sqrt(5)))/8 | ≈1.9714916704467510226 |
[6]-Vertex Radius (20): | 5*sqrt(3)/4 | ≈2.1650635094610966169 |
[10]-Vertex Radius (12): | 3*sqrt(10*(5+sqrt(5)))/8 | ≈3.1899405313201497457 |
Edge-scribed Radius: | sqrt(15)/2 | ≈1.9364916731037084426 |
Inscribed Radius: | 15/8 | 1.875 |
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