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arxiv: 1210.1446 · v1 · pith:S5OGIYJWnew · submitted 2012-10-02 · 🧮 math.MG

The Sum of Squares Law

classification 🧮 math.MG
keywords squaresanm-dimensionaledge-transitiveedgesn-dimensionalontooriginalpolytope
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We show that when projecting an edge-transitive N-dimensional polytope onto anM-dimensional subspace of R^N, the sums of the squares of the original and projected edges are in the ratio N=M.

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