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The Hexagonal Honeycomb Conjecture
Frank Morgan
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Source: Crossref
Published: Jan 26, 1999
DOI: 10.1090/s0002-9947-99-02356-9
Open original source ↗Source 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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