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6 - Rigidity

from I - Regular Polytopes

Published online by Cambridge University Press:  30 January 2020

Peter McMullen
Peter McMullen
Affiliation:
University College London
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Summary

The concept of rigidity of regular polytopes is relatively new; it asks to what extent does the specification of certain geometric data about a regular polytope determine it. After a little historical background to the subject, the central notion of fine Schläfli symbol is described, and then the formal concepts of shape (or similarity class) and rigidity are defined, and some familiar examples are introduced. Finally, general criteria for rigidity are given.

Keywords

rigidityfine Schläfli symbolsshape
Type
Chapter
Information
Geometric Regular Polytopes , pp. 200 - 206
Publisher: Cambridge University Press
Print publication year: 2020

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  • Rigidity
  • Peter McMullen, University College London
  • Book: Geometric Regular Polytopes
  • Online publication: 30 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778992.007
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  • Rigidity
  • Peter McMullen, University College London
  • Book: Geometric Regular Polytopes
  • Online publication: 30 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778992.007
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Rigidity
  • Peter McMullen, University College London
  • Book: Geometric Regular Polytopes
  • Online publication: 30 January 2020
  • Chapter DOI: https://doi.org/10.1017/9781108778992.007
Available formats
×