The Honeycomb Conjecture

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.

Explore related subjects

Discover the latest articles, books and news in related subjects, suggested using machine learning.

• Abstract Harmonic Analysis
• Combinatorial Geometry
• Geometry
• Mathematics
• Number Theory
• Tiling

Author information

Authors and Affiliations

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

   T. C. Hales

Authors

1. T. C. Hales
   View author publications

   Search author on:PubMed Google Scholar

Additional information

Received August 30, 1999, and in revised form April 17, 2000. Online publication September 22, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hales, T. The Honeycomb Conjecture. Discrete Comput Geom 25, 1–22 (2001). https://doi.org/10.1007/s004540010071

Download citation

• Published: 01 January 2001

• Issue date: January 2001

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