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Plank theorems and their applications: a survey

2022/03/10 by William Verreault, Verreault, William · 1 citation
Computer Science · Mathematics · #52-02 (Primary) 52C07 #52C17 (Secondary) #Computational Geometry and Mesh Generation #FOS: Mathematics #Metric Geometry (math.MG) #Optimization and Variational Analysis #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2203.05540

openalex publication_date 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

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