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The honeycomb conjecture. (English) Zbl 1007.52008

Summary: This article gives a proof of the classical honeycomb conjecture: any partition of the plane into regions of equal area has perimeter at least that of the regular hexagonal honeycomb tiling.

MSC:

52C15 Packing and covering in \(2\) dimensions (aspects of discrete geometry)
52C20 Tilings in \(2\) dimensions (aspects of discrete geometry)
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