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- Regular_polytope abstract "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 so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n. Regular polytopes are the generalized analog in any number of dimensions of regular polygons (for example, the square or the regular pentagon) and regular polyhedra (for example, the cube). The strong symmetry of the regular polytopes gives them an aesthetic quality that interests both non-mathematicians and mathematicians.Classically, a regular polytope in n dimensions may be defined as having regular facets [(n − 1)-faces] and regular vertex figures. These two conditions are sufficient to ensure that all faces are alike and all vertices are alike. Note, however, that this definition does not work for abstract polytopes.A regular polytope can be represented by a Schläfli symbol of the form {a, b, c, ...., y, z}, with regular facets as {a, b, c, ..., y}, and regular vertex figures as {b, c, ..., y, z}.".
- Regular_polytope thumbnail Regular_pentagon.svg?width=300.
- Regular_polytope wikiPageExternalLink natur.html.
- Regular_polytope wikiPageExternalLink 600-Cell.html.
- Regular_polytope wikiPageExternalLink home.html.
- Regular_polytope wikiPageExternalLink projPoly.html.
- Regular_polytope wikiPageExternalLink Stella.php.
- Regular_polytope wikiPageExternalLink polytope.shtml.
- Regular_polytope wikiPageExternalLink galery1-en.htm.
- Regular_polytope wikiPageID "518693".
- Regular_polytope wikiPageRevisionID "604224750".
- Regular_polytope anchor "Regular".
- Regular_polytope hasPhotoCollection Regular_polytope.
- Regular_polytope title "Regular polytope".
- Regular_polytope subject Category:Multi-dimensional_geometry.
- Regular_polytope subject Category:Polytopes.
- Regular_polytope subject Category:Symmetry.
- Regular_polytope comment "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 so on — are also transitive on the symmetries of the polytope, and are regular polytopes of dimension ≤ n.".
- Regular_polytope label "Politopo regolare".
- Regular_polytope label "Politopo regular".
- Regular_polytope label "Polytope régulier".
- Regular_polytope label "Regelmatige polytoop".
- Regular_polytope label "Regular polytope".
- Regular_polytope label "Правильные многомерные многогранники".
- Regular_polytope label "正圖形".
- Regular_polytope label "正多胞体".
- Regular_polytope sameAs Κανονικό_πολύτοπο.
- Regular_polytope sameAs Politopo_regular.
- Regular_polytope sameAs Polytope_régulier.
- Regular_polytope sameAs Politopo_regolare.
- Regular_polytope sameAs 正多胞体.
- Regular_polytope sameAs 정폴리토프.
- Regular_polytope sameAs Regelmatige_polytoop.
- Regular_polytope sameAs m.02ktrc.
- Regular_polytope sameAs Q2745944.
- Regular_polytope sameAs Q2745944.
- Regular_polytope wasDerivedFrom Regular_polytope?oldid=604224750.
- Regular_polytope depiction Regular_pentagon.svg.
- Regular_polytope isPrimaryTopicOf Regular_polytope.