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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:
52C15Packing and covering in 2 dimensions (discrete geometry)
52C20Tilings in 2 dimensions (discrete geometry)