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Advances in Applied Clifford Algebras

, Volume 23, Issue 4, pp 815–824 | Cite as

Law of Sums of the Squares of Areas, Volumes and Hyper-Volumes of Regular Polytopes from Clifford Algebras

  • Carlos Castro Perelman
  • Fang Fang
  • Klee Irwin
Article
  • 91 Downloads

Abstract

Inspired by the recent sums of the squares law obtained by [1] we derive the law of the sums of the squares of the areas, volumes and hyper-volumes associated with the faces, cells and hyper-cells of regular polytopes in diverse dimensions by using Clifford algebraic methods [5].

Keywords

Irreducible Representation Clifford Algebra Generalize Matrice High Derivative Gravity Regular Polytope 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Quantum Gravity Research GroupCaliforniaUSA

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