Maximum volume polytopes inscribed in the unit sphere
Metric Geometry
2014-07-11 v3 Combinatorics
Abstract
In this paper we investigate the problem of finding the maximum volume polytopes, inscribed in the unit sphere of the -dimensional Euclidean space, with a given number of vertices. We solve this problem for polytopes with vertices in every dimension, and for polytopes with vertices in odd dimensions. For polytopes with vertices in even dimensions we give a partial solution.
Cite
@article{arxiv.1402.6496,
title = {Maximum volume polytopes inscribed in the unit sphere},
author = {Ákos G. Horváth and Zsolt Lángi},
journal= {arXiv preprint arXiv:1402.6496},
year = {2014}
}
Comments
11 pages