The plank problem for symmetric bodies

1991/12/01 by Keith Ball · 1 voice · 7 citations
Mathematics · #History and Theory of Mathematics #Mathematics and Applications #Point processes and geometric inequalities

paper · doi:10.1007/bf01245089

crossref issued 1991/12/01 · crossref published 1991/12/01 · crossref published-online 1991/12/01 · crossref published-print 1991/12/01 · openalex publication_date 1991/12/01 · crossref created 2005/02/27 · crossref deposited 2019/04/30 · openalex created_date 2025/10/10 · crossref indexed 2026/03/11 · openalex updated_date 2026/07/29

Cited by

• Piercing the Chessboard
• Minimum Partition of Polygons under Width and Cut Constraints
• Invariant measure of rotational beta expansion and a problem of Tarski
• Coverings by convex bodies and inscribed balls
• Slicing the hypercube is not easy
• Bounds for Calderón-Zygmund operators with matrix A₂ weights
• On the intersection of the spectrum of frequently hypercyclic operators with the unit circle

Discussions

• This problem is (an easier?) analogue of the following question: Minimum number of straight lines to cover $n \times n$ grid? An equilateral triangle with side $n$ is divided into $n^2$ unit triangles [stackexchange, 1 points]