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infinite polytope

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  • Polytope regulier — Polytope régulier Pour les articles homonymes, voir régulier. Le Dodécaèdre, un des cinq solides platoniciens. E …   Wikipédia en Français

  • Polytope régulier — Pour les articles homonymes, voir régulier. Le dodécaèdre régulier, un des cinq solides platoniciens. En mathématiques, plus précisément …   Wikipédia en Français

  • Polytope croisé — Octaèdre Octaèdre Type Polyèdre régulier Faces Triangle Éléments :  · Faces  · Arêtes  · Sommets  · Caractéristique   8 12 6 2 Faces par sommet 4 Sommets par face …   Wikipédia en Français

  • Infinite 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… …   Wikipedia

  • polytope — 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 …   Wiktionary

  • 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

  • Regular 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… …   Wikipedia

  • Convex 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… …   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

  • 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

  • Convex regular 4-polytope — The tesseract is one of 6 convex regular 4 polytopes In mathematics, a convex regular 4 polytope is a 4 dimensional polytope that is both regular and convex. These are the four dimensional analogs of the Platonic solids (in three dimensions) and… …   Wikipedia

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