OpenAlex ·

The Truncated Octahedral Conjecture

Thomas Hales and Lark Song

Published
Source
OpenAlex
Published in
arXiv (Cornell University)
DOI
10.48550/arxiv.2609.00997
Original
Read it at the publisher
Topics
GraphicsCombinatoricsNumerical Analysis

Abstract

Among three-dimensional parallelohedra of fixed volume, the Archimedean truncated octahedron uniquely minimizes surface area, affirming a conjecture of K. Bezdek from 2006. The final scalar inequality is verified by an exact computer-assisted certificate.

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