Discrete and Computational Geometry

, volume 25 , issue 1 , pages 1-22

The Honeycomb Conjecture

T C Hales ¹

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Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA, USA |

Publication type: Journal Article

Publication date: 2001-01-01

Springer Nature

Discrete and Computational Geometry

scimago Q2

wos Q3

SJR: 0.600

CiteScore: 1.7

Impact factor: 0.6

ISSN: 01795376, 14320444

DOI: 10.1007/s004540010071

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Computational Theory and Mathematics

Theoretical Computer Science

Discrete Mathematics and Combinatorics

Geometry and Topology

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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GOST |

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GOST Copy

Hales T. C. The Honeycomb Conjecture // Discrete and Computational Geometry. 2001. Vol. 25. No. 1. pp. 1-22.

GOST all authors (up to 50) Copy

Hales T. C. The Honeycomb Conjecture // Discrete and Computational Geometry. 2001. Vol. 25. No. 1. pp. 1-22.

RIS |

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RIS Copy

TY - JOUR

DO - 10.1007/s004540010071

UR - https://doi.org/10.1007/s004540010071

TI - The Honeycomb Conjecture

T2 - Discrete and Computational Geometry

AU - Hales, T C

PY - 2001

DA - 2001/01/01

PB - Springer Nature

SP - 1-22

IS - 1

VL - 25

SN - 0179-5376

SN - 1432-0444

ER -

BibTex |

Cite this

BibTex (up to 50 authors) Copy

@article{2001_Hales,

author = {T C Hales},

title = {The Honeycomb Conjecture},

journal = {Discrete and Computational Geometry},

year = {2001},

volume = {25},

publisher = {Springer Nature},

month = {jan},

url = {https://doi.org/10.1007/s004540010071},

number = {1},

pages = {1--22},

doi = {10.1007/s004540010071}

}

MLA

Cite this

MLA Copy

Hales, T. C.. “The Honeycomb Conjecture.” Discrete and Computational Geometry, vol. 25, no. 1, Jan. 2001, pp. 1-22. https://doi.org/10.1007/s004540010071.

Publisher

Springer Nature

Journal

Discrete and Computational Geometry

scimago Q2

wos Q3

SJR

0.600

CiteScore

1.7

Impact factor

0.6

ISSN

01795376 (Print)

14320444 (Electronic)