Year: 2026
Type: preprint
Abstract: Let $Q_n=[0,1]^n$, $n\ge2$. Denote by $M_n$ be the maximal volume of a pyramid in $Q_n$ whose base is a hyperplane section of $Q_n$, and by $M_n^0$ the corresponding maximum when the section contains the center of $Q_n$. We prove that $nM_n<(n+1)M_{n+1}^0$.
Source: arXiv (Cornell University)
Author: Nikolov, Nikolai
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Bulgarian National Science Fund
Award: G2703811756
OpenAlex ID: W7221836031