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Radii of Regular Polytopes

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Abstract

For the first time complete lists of two pairs of inner and outer radii classes of the three types of regular polytopes which exist in all dimensions are presented. A new approach using isotropic polytopes provides better understanding of the underlying geometry and helps to unify the results.

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Correspondence to René Brandenberg.

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Brandenberg, R. Radii of Regular Polytopes. Discrete Comput Geom 33, 43–55 (2005). https://doi.org/10.1007/s00454-004-1127-1

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Keywords

  • Computational Mathematic
  • Complete List
  • Outer Radius
  • Regular Polytopes
  • Radius Class