Gosset 3 31 honeycomb — In 8 dimensional geometry, the 331 honeycomb is a uniform honeycomb, also given by Schlafli symbol {33,3,1}.It has a 231 polytope vertex figure, and is composed of 231 and 7 simplex facets, with 56 and 576 of them respectively around each… … Wikipedia
Gosset 1 33 honeycomb — In 8 dimensional geometry, the 133 honeycomb is a uniform honeycomb, also given by Schlafli symbol {31,3,3}.It has a trirectified 7 simplex vertex figure, and is composed of 132 polytope facets.It is represented by Coxeter Dynkin diagram:: See… … Wikipedia
Gosset 1 52 honeycomb — In geometry, the Gosset 152 honecomb is a uniform tessellation of 8 dimensional Euclidean space. It contains {31,4,2} and demiocteract, {31,5,1} facets, in a birectified 8 simplex vertex figure.It is represented by Coxeter Dynkin diagram::It is… … Wikipedia
Gosset 2 51 honeycomb — In 8 dimensional geometry, the 251 honeycomb is a space filling uniform tessellation. It is composed of 241 polytope and 8 simplex facets arranged in a demiocteract vertex figure.It is represented by Coxeter Dynkin diagram::It is the final figure … Wikipedia
Thorold Gosset — (1869 ndash;1962) was an English lawyer and an amateur mathematician. In mathematics, he is noted for discovering and classifying the semiregular polytopes in dimensions four and higher.According to H. S. M. Coxeter, [cite book | first = H. S. M … Wikipedia
Convex uniform honeycomb — The alternated cubic honeycomb is one of 28 space filling uniform tessellations in Euclidean 3 space, composed of alternating yellow tetrahedra and red octahedra. In geometry, a convex uniform honeycomb is a uniform tessellation which fills three … Wikipedia
List of mathematics articles (G) — NOTOC G G₂ G delta space G networks Gδ set G structure G test G127 G2 manifold G2 structure Gabor atom Gabor filter Gabor transform Gabor Wigner transform Gabow s algorithm Gabriel graph Gabriel s Horn Gain graph Gain group Galerkin method… … Wikipedia
E₈ lattice — In mathematics, the E8 lattice is a special lattice in R8. It can be characterized as the unique positive definite, even, unimodular lattice of rank 8. The name derives from the fact that it is the root lattice of the E8 root system. The normIn… … Wikipedia
Coxeter group — In mathematics, a Coxeter group, named after H.S.M. Coxeter, is an abstract group that admits a formal description in terms of mirror symmetries. Indeed, the finite Coxeter groups are precisely the finite Euclidean reflection groups; the symmetry … 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