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.[1] It is represented by the Schläfli symbol rr{4,3⁄2} and Coxeter-Dynkin diagram of . Its vertex figure is a crossed quadrilateral.
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.
^Maeder, Roman. "17: great rhombicuboctahedron". MathConsult.
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In geometry, the nonconvexgreatrhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17. It has 26 faces (8 triangles and 18 squares), 48...
solid, with Schläfli symbol tr{4,3}, and Coxeter diagram . Nonconvexgreatrhombicuboctahedron - a uniform star polyhedron, with Schläfli symbol r{4,3/2}...
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for stellated forms including the 4 regular nonconvex polyhedra, and ended with 67–119 for the nonconvex uniform polyhedra. [K] Kaleido, 1993: The 80...
conditions.) Aside from the rectangular cuboids, orthogonal polyhedra are nonconvex. They are the 3D analogs of 2D orthogonal polygons, also known as rectilinear...
the nonconvex Johnson solid isomorphs, being topologically identical to the convex pentagonal cupola. It can be obtained as a slice of the nonconvex great...
with one triangle and three squares, and it defines the uniform rhombicuboctahedron. If the polytope is isogonal, the vertex figure will exist in a hyperplane...
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