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arXiv · 1402.6496

Maximum volume polytopes inscribed in the unit sphere

Ákos G. Horváth·Zsolt Lángi
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Abstract

In this paper we investigate the problem of finding the maximum volume polytopes, inscribed in the unit sphere of the $d$-dimensional Euclidean space, with a given number of vertices. We solve this problem for polytopes with $d+2$ vertices in every dimension, and for polytopes with $d+3$ vertices in odd dimensions. For polytopes with $d+3$ vertices in even dimensions we give a partial solution.

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Ákos G. Horváth, Zsolt Lángi. 2014-02-26. Maximum volume polytopes inscribed in the unit sphere. https://arxiv.org/abs/1402.6496

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