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2 - Abstract Regular and Chiral Polytopes

Published online by Cambridge University Press:  23 March 2025

Daniel Pellicer
Daniel Pellicer
Affiliation:
Universidad Nacional Autónoma de México
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Summary

The main definitions and structural results of abstract polytopes, regular polytopes and chiral polytopes are presented in this chapter. Here the reader can also find equivalent definitions of abstract polytopes and of chiral abstract polytopes, that prove useful in their study. In order to illustrate some of these topics, a summary of symmetries of toroidal polytopes is provided, with special emphasis on chiral toroidal polytopes.

Keywords

abstract polytoperegular polytopetwo-orbit polytoperotary polytopechiral polytopeautomorphism group of a polytopetoroidal polytope
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Chapter
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Abstract Chiral Polytopes , pp. 6 - 100
Publisher: Cambridge University Press
Print publication year: 2025

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