Great retrosnub icosidodecahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 92, E = 150 V = 60 (χ = 2) |
Faces by sides | (20+60){3}+12{5/2} |
Coxeter diagram | |
Wythoff symbol | | 2 3/2 5/3 |
Symmetry group | I, [5,3]+, 532 |
Index references | U74, C90, W117 |
Dual polyhedron | Great pentagrammic hexecontahedron |
Vertex figure | (34.5/2)/2 |
Bowers acronym | Girsid |
In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{3⁄2,5⁄3}.