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The Honeycomb Conjecture
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  • Published: 01 January 2001

The Honeycomb Conjecture

  • T. C. Hales1 

Discrete & Computational Geometry volume 25, pages 1–22 (2001)Cite this article

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, USA

    T. C. Hales

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  1. T. C. Hales
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Additional information

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

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  • Published: 01 January 2001

  • Issue Date: January 2001

  • DOI: https://doi.org/10.1007/s004540010071

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