The antiprism of an abstract polytope

Ian Gleason, Isabel Hubard


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.


Antiprism, abstract polytopes

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ISSN: 1855-3974

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