The tomotope

Barry Monson, Daniel Pellicer, Gordon Williams

Abstract


Every abstract 3-polytope M, in particular, every polyhedral map, has a unique minimal regular cover, and the automorphism group of this cover is isomorphic to the monodromy group of M. Here we demonstrate that the situation for polytopes of higher rank must be very different: the tomotope T is a small, highly involved, abstract uniform 4-polytope. It has infinitely many distinct minimal regular covers.

Keywords


Abstract regular or uniform polytopes

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DOI: https://doi.org/10.26493/1855-3974.189.e64

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