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A short proof of Ball's plank theorem

Arseniy Akopyan, Alexander Polyanskii

Source record

Source: arXiv

Published: Sep 28, 2026

arXiv: 2609.36163

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Source abstract

We give a short proof of the following theorem of K. Ball: If a centrally symmetric convex body K⊂RdK\subset \mathbb R^d is covered by finitely many planks, then the sum of their relative widths with respect to KK is at least 11.

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