The antiprism of an abstract polytope

Ian Gleason, Isabel Hubard

Abstract


Antiprisms of polygons are classical convex vertex-transitive polyhedra. In this paper, for any given (abstract) polytope, we define its antiprism. We then find the automorphism group of the antiprism of P in terms of the extended group of P (the groups of automorphisms and dualities) as well as some transitivity properties. We also give a relation between some products of abstract polytopes and their antiprisms.


Keywords


Antiprism, abstract polytopes

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DOI: https://doi.org/10.26493/1855-3974.2584.68d

ISSN: 1855-3974

Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications