In mathematics, the Coxeter complex, named after H. S. M. Coxeter, is a geometrical structure (a simplicial complex) associated to a Coxeter group. Coxeter complexes are the basic objects that allow the construction of buildings; they form the apartments of a building.
the Coxetercomplex, named after H. S. M. Coxeter, is a geometrical structure (a simplicial complex) associated to a Coxeter group. Coxetercomplexes are...
the Coxeter graph, Coxeter groups, Coxeter's loxodromic sequence of tangent circles, Coxeter–Dynkin diagrams, and the Todd–Coxeter algorithm. Coxeter was...
symbolic notation developed by Coxeter. Some complex polytopes which are not fully regular have also been described. The complex line C 1 {\displaystyle \mathbb...
In mathematics, a Coxeter group, named after H. S. M. Coxeter, is an abstract group that admits a formal description in terms of reflections (or kaleidoscopic...
In 4-dimensional complex geometry, the Witting polytope is a regular complex polytope, named as: 3{3}3{3}3{3}3, and Coxeter diagram . It has 240 vertices...
real reflection groups (the Coxeter groups or Weyl groups, including the symmetry groups of regular polyhedra). A (complex) reflection r (sometimes also...
depends on context—for example, whether one is discussing general Coxeter groups or complex reflection groups—but in all cases the collection of parabolic...
regular complex polygons have been completely characterized, and can be described using a symbolic notation developed by Coxeter. A regular complex polygon...
number of faces in the Coxetercomplex associated with a Coxeter group of type A n − 1 {\displaystyle A_{n-1}} . Here, a Coxeter group can be thought of...
Coxeter notation (also Coxeter symbol) is a system of classifying symmetry groups, describing the angles between fundamental reflections of a Coxeter...
meshes:Surface (polygonal) Simplification 1997. (retrieved May 2016) Coxeter, H. S. M., Regular Complex Polytopes, Cambridge University Press, 1974. Introduction...
polytopes, named as V72 (for its 72 vertices). Its Coxeter symbol is 122, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end...
1016/0012-365X(82)90185-6, MR 0676709 Coxeter 1973, p. 12, §1.8 Configurations. Coxeter 1973, p. 293. Coxeter, H. S. M., Regular Complex Polytopes, second edition...
Global Information