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15 - Locally Toroidal Polytopes

from IV - Miscellaneous Polytopes

Published online by Cambridge University Press:  30 January 2020

Peter McMullen
Peter McMullen
Affiliation:
University College London
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Summary

A regular polytope is called locally toroidal if its minimal infaces which are not spherical are toroidal. This chapter treats certain locally toroidal regular polytopes with not too many vertices, especially those which were subjects of ‘Abstract Regular Polytopes’; it includes some geometric descriptions and realizations. In the course of the investigation, some hitherto undescribed families of universal locally toroidal regular polytopes are presented.

Keywords

locally toroidal polytopesuniversalrealizations
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Chapter
Information
Geometric Regular Polytopes , pp. 506 - 529
Publisher: Cambridge University Press
Print publication year: 2020

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