Plank theorems and their applications: a survey
arXiv:2203.05540
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.
47 pages, 8 figures. Final version including new subsections, references, and corrections of typos