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from I - Regular Polytopes
Published online by Cambridge University Press: 30 January 2020
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.
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