On the volume of hyperplane sections of a d-cube
Metric Geometry
2020-07-03 v2
Abstract
We obtain an optimal upper bound for the normalised volume of a hyperplane section of an origin-symmetric d-dimensional cube. This confirms a conjecture posed by Imre Barany and Peter Frankl.
Cite
@article{arxiv.2004.00873,
title = {On the volume of hyperplane sections of a d-cube},
author = {Iskander Aliev},
journal= {arXiv preprint arXiv:2004.00873},
year = {2020}
}