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Chris Wells

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Preprint Sep 2026

Isoperimetric Inequalities in the $\ell_{\infty}$ cube and torus

We prove an exact isoperimetric inequality for cubes and tori under the $\ell_{\infty} metric. As a corollary, we recover the celebrated grid edge-isoperimetric inequality of Bollob\'{a}s-Leader.

Ben Baker, J. Briggs, V. ManuelFernandez et al. · 0 citations

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