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- 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 wikiPageRevisionID "545527343".
- Chiral_polytope hasPhotoCollection Chiral_polytope.
- Chiral_polytope subject Category:Chirality.
- Chiral_polytope subject Category:Polytopes.
- 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 m.056gd0l.
- Chiral_polytope sameAs Q5101834.
- Chiral_polytope sameAs Q5101834.
- Chiral_polytope wasDerivedFrom Chiral_polytope?oldid=545527343.
- Chiral_polytope depiction Triangle.Scalene.svg.
- Chiral_polytope isPrimaryTopicOf Chiral_polytope.
