Great rhombidodecahedron | |
---|---|
Type | Uniform star polyhedron |
Elements | F = 42, E = 120 V = 60 (χ = −18) |
Faces by sides | 30{4}+12{10/3} |
Coxeter diagram | (with extra double-covered triangles) (with extra double-covered pentagrams) |
Wythoff symbol | 2 5/3 (3/2 5/4) | |
Symmetry group | Ih, [5,3], *532 |
Index references | U73, C89, W109 |
Dual polyhedron | Great rhombidodecacron |
Vertex figure | 4.10/3.4/3.10/7 |
Bowers acronym | Gird |
In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.