Nonconvex great rhombicuboctahedron
In geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17. It has 26 faces (8 triangles and 18 squares), 48 edges, and 24 vertices. It is represented by the Schläfli symbol rr{4,3⁄2} and Coxeter-Dynkin diagram of . Its vertex figure is a crossed quadrilateral.
| Nonconvex great rhombicuboctahedron | |
|---|---|
| Type | Uniform star polyhedron |
| Elements | F = 26, E = 48 V = 24 (χ = 2) |
| Faces by sides | 8{3}+(6+12){4} |
| Coxeter diagram | |
| Wythoff symbol | 3/2 4 | 2 3 4/3 | 2 |
| Symmetry group | Oh, [4,3], *432 |
| Index references | U17, C59, W85 |
| Dual polyhedron | Great deltoidal icositetrahedron |
| Vertex figure | 4.4.4.3/2 |
| Bowers acronym | Querco |
This model shares the name with the convex great rhombicuboctahedron, also called the truncated cuboctahedron.
An alternative name for this figure is quasirhombicuboctahedron. From that derives its Bowers acronym: querco.
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