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.
Received August 30, 1999, and in revised form April 17, 2000. Online publication September 22, 2000.
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Hales, T. The Honeycomb Conjecture. Discrete Comput Geom 25, 1–22 (2001). https://doi.org/10.1007/s004540010071