A Statistical Characterization of Regular Simplices
Statistics Theory
2007-06-13 v2 Metric Geometry
Statistics Theory
Abstract
The positive interpoint distances of n=p+1>1 points in dimension p are equal if and only if their sample covariance matrix is a scalar multiple of the identity.
Keywords
Cite
@article{arxiv.math/0612163,
title = {A Statistical Characterization of Regular Simplices},
author = {Ian Abramson and Larry Goldstein},
journal= {arXiv preprint arXiv:math/0612163},
year = {2007}
}
Comments
5 pages, which includes corrections to the published version. Version 2 differs in only small typographical changes: removing an extra sigma squared, and inserting a needed 1/n