Rotary one-facet maniplexes

Daniel Pellicer; Steve Wilson

doi:10.26493/2590-9770.1331.cb0

Daniel Pellicer National University of Mexico
Steve Wilson Northern Arizona University https://orcid.org/0000-0002-0268-6865

DOI: https://doi.org/10.26493/2590-9770.1331.cb0

Keywords: graph, automorphism group, symmetry, polytope, maniplex, map, flag, transitivity, rotary, reflexible, chiral

Abstract

Maniplexes are combinatorial objects that generalize, simultaneously, maps on surfaces and abstract polytopes. We are interested on studying rotary maniplexes, that is, those having maximal 'rotational' symmetry.

This note classifies rotary 4-dimensional maniplexes with the property of having exactly one facet, and gives examples and related results.