Rotary one-facet maniplexes

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.

Published
2020-05-13
Section
Bled 2019 – Polytopes, Configurations, and Symmetries (Grünbaum Issue)