Great icosidodecahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 32, E = 60 V = 30 (χ = 2) |
Faces by sides | 20{3}+12{5/2} |
Coxeter diagram | |
Wythoff symbol | 2 | 3 5/2 2 | 3 5/3 2 | 3/2 5/2 2 | 3/2 5/3 |
Symmetry group | Ih, [5,3], *532 |
Index references | U54, C70, W94 |
Dual polyhedron | Great rhombic triacontahedron |
Vertex figure | 3.5/2.3.5/2 |
Bowers acronym | Gid |
In geometry, the great icosidodecahedron is a nonconvex uniform polyhedron, indexed as U54. It has 32 faces (20 triangles and 12 pentagrams), 60 edges, and 30 vertices.[1] It is given a Schläfli symbol r{3,5⁄2}. It is the rectification of the great stellated dodecahedron and the great icosahedron. It was discovered independently by Hess (1878), Badoureau (1881) and Pitsch (1882).