The antiprism of an abstract polytope
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
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