On an extremal problem connected with simplices
Metric Geometry
2013-05-14 v2 Combinatorics
Abstract
In this note we investigate the behavior of the volume that the convex hull of two congruent and intersecting simplices in Euclidean -space can have. We prove some useful equalities and inequalities on this volume. For the regular simplex we determine the maximal possible volume for the case when the two simplices are related to each other via reflection at a hyperplane intersecting them.
Cite
@article{arxiv.1303.3454,
title = {On an extremal problem connected with simplices},
author = {Ákos G. Horváth},
journal= {arXiv preprint arXiv:1303.3454},
year = {2013}
}
Comments
11 pages