The tomotope

Authors

  • Barry Monson University of New Brunswick
  • Daniel Pellicer Instituto de Matemeticas UNAM - Unidad Morelia
  • Gordon Williams University of Alaska Fairbanks

DOI:

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

Keywords:

Abstract regular or uniform polytopes

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.

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Published

2012-05-28

Issue

Vol. 5 No. 2 (2012)

Section

SIGMAP 2010

License

Articles in this journal are published under Creative Commons Attribution 4.0 International License
https://creativecommons.org/licenses/by/4.0/