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ISSN 1088-6850(e) ISSN 0002-9947(p)

The Hexagonal Honeycomb Conjecture

Author(s): Frank Morgan
Journal: Trans. Amer. Math. Soc. 351 (1999), 1753-1763.
MSC (1991): Primary 52A38, 49Q20, 28A75
Posted: January 26, 1999
MathSciNet review: 1615934
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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.

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