Geometry

   

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

Authors: Carlos Perelman, Fang Fang, Garret Sadler, Klee Irwin

Inspired by the recent sums of the squares law obtained by Kovacs-Fang-Sadler-Irwin 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 after using Clifford algebraic methods.

Comments: 9 Pages.

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Submission history

[v1] 2012-11-22 21:32:20
[v2] 2012-11-26 06:15:14

Unique-IP document downloads: 265 times

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