infinite polytope
1Polytope regulier — Polytope régulier Pour les articles homonymes, voir régulier. Le Dodécaèdre, un des cinq solides platoniciens. E …
2Polytope régulier — Pour les articles homonymes, voir régulier. Le dodécaèdre régulier, un des cinq solides platoniciens. En mathématiques, plus précisément …
3Polytope croisé — Octaèdre Octaèdre Type Polyèdre régulier Faces Triangle Éléments :  · Faces  · Arêtes  · Sommets  · Caractéristique   8 12 6 2 Faces par sommet 4 Sommets par face …
4Infinite skew polyhedron — In geometry, infinite skew polyhedra are an extended definition of polyhedra, created by regular polygon faces, and nonplanar vertex figures.Many are directly related to a convex uniform honeycomb, being the polygonal surface of a honeycomb with… …
5polytope — noun A finite region of n dimensional space bounded by hyperplanes; the geometrical entity represented by the general term of the infinite sequence point, line, polygon, polyhedron …
6Uniform 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… …
7Regular polytope — In mathematics, a regular polytope is a polytope whose symmetry is transitive on its flags, thus giving it the highest degree of symmetry. All its elements or j faces (for all 0≤ j ≤ n , where n is the dimension of the polytope) cells, faces and… …
8Convex polytope — A 3 dimensional convex polytope A convex polytope is a special case of a polytope, having the additional property that it is also a convex set of points in the n dimensional space Rn.[1] Some authors use the terms convex polytope and convex… …
9Cross-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 …
10Semiregular 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… …
