Geodesic
The antiprism of an abstract polytope
Ars mathematica contemporanea, Volume 22 (2022) no. 2, article no. 08, 11 p.

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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.
DOI: 10.26493/1855-3974.2584.68d
Keywords: Antiprism, abstract polytopes 
Ian Gleason; Isabel Hubard. The antiprism of an abstract polytope. Ars mathematica contemporanea, Volume 22 (2022) no. 2, article  no. 08, 11 p.. doi: 10.26493/1855-3974.2584.68d
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