- semiregular polytope
- мат. полуправильный политоп
Большой англо-русский и русско-английский словарь. 2001.
semiregular polytope
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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
Semiregular polyhedron — A semiregular polyhedron is a polyhedron with regular faces and a symmetry group which is transitive on its vertices. Or at least, that is what follows from Thorold Gosset s 1900 definition of the more general semiregular polytope. [Thorold… … Wikipedia
Semiregular 4-polytope — In geometry, a semiregular 4 polytope (or polychoron) is a 4 dimensional polytope which is vertex transitive (i.e. the symmetry group of the polytope acts transitively on the vertices) and whose cells are regular polyhedra. These represent a… … 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 3 21 polytope — In 7 dimensional geometry, the 321 is a semiregular polytope, enumerated by Thorold Gosset in his 1900 paper. He called it an 7 ic semi regular figure . It is called the Hess polytope for Edmund Hess who first discovered it.Its construction is… … Wikipedia
Gosset 2 21 polytope — In 6 dimensional geometry, 221 is a semiregular polytope, discovered by Thorold Gosset, published in his 1900 paper. He called it an 6 ic semi regular figure .Its construction is based on the E6 group. Coxeter named it 221 by its bifurcating… … Wikipedia
Cross-polytope — In geometry, a cross polytope,[1] orthoplex,[2] hyperoctahedron, or cocube is a regular, convex polytope that exists in any number of dimensions. The vertices of a cross polytope are all the permutations of (±1, 0, 0, …, 0). The cross polytope is … Wikipedia
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
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
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
