uniform polytope
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Uniform polytope — A uniform polytope is a vertex transitive polytope made from uniform polytope facets. A uniform polytope must also have only regular polygon faces.Uniformity is a generalization of the older category semiregular, but also includes the regular… … Wikipedia
Polytope — Not to be confused with polytrope. In elementary geometry, a polytope is a geometric object with flat sides, which exists in any general number of dimensions. A polygon is a polytope in two dimensions, a polyhedron in three dimensions, and so on… … Wikipedia
Uniform 2 k1 polytope — In geometry, 2k1 polytope or {32,k,1} is a uniform polytope in n dimensions (n = k+4) constructed from the En Coxeter group. The family was named by Coxeter as 2k1 by its bifurcating Coxeter Dynkin diagram, with a single ring on the end of the 2… … Wikipedia
Uniform 1 k2 polytope — In geometry, 1k2 polytope or {31,k,2} is a uniform polytope in n dimensions (n = k+4) constructed from the En Coxeter group. The family was named by Coxeter as 1k2 by its bifurcating Coxeter Dynkin diagram, with a single ring on the end of the 1… … Wikipedia
Uniform Polychora Project — The Uniform Polychora Project is a collaborative effort in geometry to recognize and standardize terms used to describe objects in higher dimensional spaces. The project aims to:# Collect information about uniform polychora as well as information … Wikipedia
Uniform tiling — In geometry, a uniform tiling is a tessellation of the plane by regular polygon faces with the restriction of being vertex uniform.Uniform tilings can exist in both the Euclidean plane and hyperbolic plane. Uniform tilings are related to the… … Wikipedia
Uniform polychoron — In geometry, a uniform polychoron (plural: uniform polychora) is a polychoron or 4 polytope which is vertex transitive and whose cells are uniform polyhedra.This article contains the complete list of 64 non prismatic convex uniform polychora, and … Wikipedia
Uniform star polyhedron — A display of uniform polyhedra at the Science Museum in London … Wikipedia
Gosset 4 21 polytope — The Gosset 421 polytope is an 8 dimensional semiregular uniform polytope composed of 17,280 7 simplex and 2,160 7 orthoplex facets.It was discovered by Thorold Gosset, who described it in his 1900 paper as an 8 ic semi regular figure. It is the… … Wikipedia
Semiregular k 21 polytope — In geometry, a semiregular k21 polytope is a polytope in (k+4) dimensions constructed from the En Coxeter group, and having only regular polytope facets. The family was named by Coxeter as k21 by its bifurcating Coxeter Dynkin diagram, with a… … Wikipedia
Gosset 1 42 polytope — In 8 dimensional geometry, 142 is a uniform polytope, constructed from the E8 group. It is named by Coxeter as 142 by its bifurcating Coxeter Dynkin diagram, with a single ring on the end of the 2 node sequence. It is related to the 421 polytope … Wikipedia
