Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Chiral_polytope> ?p ?o }
Showing triples 1 to 51 of
51
with 100 triples per page.
- Chiral_polytope abstract "In mathematics, there are two competing definitions for a chiral polytope. One is that it is a polytope that is chiral (or \"enantiomorphic\"), meaning that it does not have mirror symmetry. By this definition, a polytope that lacks any symmetry at all would be an example of a chiral polytope. The other, competing definition of a chiral polytope is that it is a polytope that is as symmetric as possible without being mirror-symmetric, formalized in terms of the action of the symmetry group of the polytope on its flags. By this definition, even highly-symmetric and enantiomorphic polytopes such as the snub cube are not chiral. Indeed, much of the study of symmetric but chiral polytopes has been carried out in the framework of abstract polytopes, because of the paucity of geometric examples.".
- Chiral_polytope thumbnail Triangle.Scalene.svg?width=300.
- Chiral_polytope wikiPageExternalLink 79.
- Chiral_polytope wikiPageID "20861435".
- Chiral_polytope wikiPageLength "6571".
- Chiral_polytope wikiPageOutDegree "32".
- Chiral_polytope wikiPageRevisionID "631672952".
- Chiral_polytope wikiPageWikiLink Abstract_polytope.
- Chiral_polytope wikiPageWikiLink Ars_Mathematica_Contemporanea.
- Chiral_polytope wikiPageWikiLink Category:Chirality.
- Chiral_polytope wikiPageWikiLink Category:Polytopes.
- Chiral_polytope wikiPageWikiLink Chirality_(mathematics).
- Chiral_polytope wikiPageWikiLink Cuboctahedron.
- Chiral_polytope wikiPageWikiLink Flag_(geometry).
- Chiral_polytope wikiPageWikiLink Group_action.
- Chiral_polytope wikiPageWikiLink Isogonal_figure.
- Chiral_polytope wikiPageWikiLink Isohedral_figure.
- Chiral_polytope wikiPageWikiLink Isotoxal_figure.
- Chiral_polytope wikiPageWikiLink Journal_of_Combinatorial_Theory.
- Chiral_polytope wikiPageWikiLink London_Mathematical_Society.
- Chiral_polytope wikiPageWikiLink Mathematics.
- Chiral_polytope wikiPageWikiLink Polytope.
- Chiral_polytope wikiPageWikiLink Quasiregular_polyhedron.
- Chiral_polytope wikiPageWikiLink Reflection_symmetry.
- Chiral_polytope wikiPageWikiLink Rhombic_dodecahedron.
- Chiral_polytope wikiPageWikiLink Skew_apeirohedron.
- Chiral_polytope wikiPageWikiLink Snub_cube.
- Chiral_polytope wikiPageWikiLink Symmetry_group.
- Chiral_polytope wikiPageWikiLink Triangle.
- Chiral_polytope wikiPageWikiLink File:Snub_hexahedron.png.
- Chiral_polytope wikiPageWikiLink File:Snub_hexahedron_ccw.png.
- Chiral_polytope wikiPageWikiLink File:Triangle.Scalene.svg.
- Chiral_polytope wikiPageWikiLinkText "Chiral polytope".
- Chiral_polytope wikiPageWikiLinkText "chiral".
- Chiral_polytope wikiPageUsesTemplate Template:Citation.
- Chiral_polytope wikiPageUsesTemplate Template:Reflist.
- Chiral_polytope subject Category:Chirality.
- Chiral_polytope subject Category:Polytopes.
- Chiral_polytope hypernym Definitions.
- Chiral_polytope type Book.
- Chiral_polytope type Polytope.
- Chiral_polytope type Space.
- Chiral_polytope comment "In mathematics, there are two competing definitions for a chiral polytope. One is that it is a polytope that is chiral (or \"enantiomorphic\"), meaning that it does not have mirror symmetry. By this definition, a polytope that lacks any symmetry at all would be an example of a chiral polytope.".
- Chiral_polytope label "Chiral polytope".
- Chiral_polytope sameAs Q5101834.
- Chiral_polytope sameAs m.056gd0l.
- Chiral_polytope sameAs Kiralni_politop.
- Chiral_polytope sameAs Q5101834.
- Chiral_polytope wasDerivedFrom Chiral_polytope?oldid=631672952.
- Chiral_polytope depiction Triangle.Scalene.svg.
- Chiral_polytope isPrimaryTopicOf Chiral_polytope.