The Hexagonal Honeycomb Conjecture-Reference-Cited by-同舟云学术

The Hexagonal Honeycomb Conjecture

Published:1999-01-26 Issue:5 Volume:351 Page:1753-1763
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Morgan Frank

Abstract

It is conjectured that the planar hexagonal honeycomb provides the least-perimeter way to enclose and separate infinitely many regions of unit area. Various natural formulations of the question are not known to be equivalent. We prove existence for two formulations. Many questions remain open.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1999-351-05/S0002-9947-99-02356-9/S0002-9947-99-02356-9.pdf

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