Nonconvex great rhombicuboctahedron

Nonconvex great rhombicuboctahedron
Type	Uniform star polyhedron
Elements	F = 26, E = 48 V = 24 (χ = 2)
Faces by sides	8{3}+(6+12){4}
Wythoff symbol	3/2 4 | 2
Symmetry group	Oh, [4,3], *432
Index references	U17, C59, W85
4.4.4.3/2 (Vertex figure)	Great deltoidal icositetrahedron (dual polyhedron)

In geometry, the nonconvex great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U₁₇. It is represented by Schläfli symbol t_0,2{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 alternate name for this figure is quasirhombicuboctahedron. From that derives its Bowers acronym: querco.

Related polyhedra

It shares the vertex arrangement with the convex truncated cube. It additionally shares its edge arrangement with the great cubicuboctahedron (having the triangular faces and 6 square faces in common), and with the great rhombihexahedron (having 12 square faces in common).

Truncated cube

Nonconvex great rhombicuboctahedron

Great cubicuboctahedron

Great rhombihexahedron

External links

• Weisstein, Eric W., "Uniform great rhombicuboctahedron" from MathWorld.
• Great Rhombicuboctahedron Paper model

This polyhedron-related article is a stub. You can help Wikipedia by expanding it.v · Categories: Uniform polyhedra Polyhedron stubs Wikimedia Foundation. 2010. Игры ⚽ Нужно сделать НИР? Nonconvex great rhombicosidodecahedron Uniform star polyhedron Look at other dictionaries: Uniform great rhombicuboctahedron — In geometry, the Uniform great rhombicuboctahedron is a nonconvex uniform polyhedron, indexed as U17.It shares the vertex arrangement with the convex truncated cube.This model shares the name with the convex great rhombicuboctahedron, which is… …   Wikipedia Great cubicuboctahedron — In geometry, the great cubicuboctahedron is a nonconvex uniform polyhedron, indexed as U14.It shares the vertex arrangement with the convex truncated cube. It additionally shares its edge arrangement, as well as its triangular and square faces,… …   Wikipedia Great rhombihexahedron — In geometry, the great rhombihexahedron is a nonconvex uniform polyhedron, indexed as U21.It shares the vertex arrangement with the convex truncated cube. It additionally shares its edge arrangement, as well as its square faces, with the uniform… …   Wikipedia Truncated cuboctahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 26, E = 72, V = 48 (χ = 2) Faces by sides …   Wikipedia Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London …   Wikipedia Truncated icosidodecahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 62, E = 180, V = 120 (χ = 2) Faces by sides …   Wikipedia Cuboctahedron — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 14, E = 24, V = 12 (χ = 2) Faces by sides 8{3}+6{4} …   Wikipedia Combination puzzle — Part of a series on Puzzles …   Wikipedia Polyhedron — Polyhedra redirects here. For the relational database system, see Polyhedra DBMS. For the game magazine, see Polyhedron (magazine). For the scientific journal, see Polyhedron (journal). Some Polyhedra Dodecahedron (Regular polyhedron) …   Wikipedia Dodecahedron — Regular Dodecahedron (Click here for rotating model) Type Platonic solid Elements F = 12, E = 30 V = 20 (χ = 2) Faces by sides 12{5} …   Wikipedia 18+ © Academic, 2000-2024 Contact us: Technical Support, Advertising Dictionaries export, created on PHP, Joomla, Drupal, WordPress, MODx. Mark and share Search through all dictionaries Translate… Search Internet Share the article and excerpts Direct link … Do a right-click on the link above and select “Copy Link”