Plank theorems and their applications: a survey
Metric Geometry
2025-10-23 v2
Abstract
Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
Keywords
Cite
@article{arxiv.2203.05540,
title = {Plank theorems and their applications: a survey},
author = {William Verreault},
journal= {arXiv preprint arXiv:2203.05540},
year = {2025}
}
Comments
47 pages, 8 figures. Final version including new subsections, references, and corrections of typos