Plank theorems and their applications: A survey

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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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2025-11-09
DOI
https://doi.org/10.1112/blms.70230
Primary Topic
Optimization and Variational Analysis
Type
article
Field-Weighted Citation Impact
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article

Plank theorems and their applications: A survey

William Verreault
Bulletin of the London Mathematical Society
Optimization and Variational Analysis
article

Plank theorems and their applications: A survey

William Verreault
article en

Abstract

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.

Bulletin of the London Mathematical SocietyVol. 58(1)
University of Toronto (CA)
Openalex Percentile: Top 65%
Optimization and Variational Analysis
DOIOpen Access PDFOpenAlex
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Plank theorems and their applications: A survey — William Verreault · Bulletin of the London Mathematical Society (2025) | TGRS Research Map | TGRS