The Classification of Regular Solids

  title={The Classification of Regular Solids},
  author={Tara M. Madden and Stewart A. Robertson},
  journal={Bulletin of The London Mathematical Society},
In [4], Farran and Robertson extended the classical concept of regularity from convex polytopes to convex bodies in general. A convex body that is regular in this new sense is called a regular solid. Thus the set ^ of all regular polytopes is a subset of the set 5^ of all regular solids. Farran and Robertson constructed a projection P&R~> &R a d observed a close resemblance between this construction and a procedure of Kostant [7]. In the present terminology, this associates either one or two… 

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