English

The John Theorem for Simplex

Combinatorics 2010-01-26 v1

Abstract

In this paper, we give a description of the John contact points of a regular simplex. We prove that the John ellipsoid of any simplex is ball if and only if this simplex is regular and that the John ellipsoid of a regular simplex is its inscribed ball.

Cite

@article{arxiv.1001.4223,
  title  = {The John Theorem for Simplex},
  author = {Si Lin and Xiong Ge and Leng Gangsong},
  journal= {arXiv preprint arXiv:1001.4223},
  year   = {2010}
}

Comments

8 pages

R2 v1 2026-06-21T14:38:34.865Z