The hexagonal honeycomb conjecture

Authors
Morgan, F
Citation
F. Morgan, The hexagonal honeycomb conjecture, T AM MATH S, 351(5), 1999, pp. 1753-1763
Citations number
20
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
351
Issue
5
Year of publication
1999
Pages
1753 - 1763
Database
ISI
SICI code
0002-9947(199905)351:5<1753:THHC>2.0.ZU;2-O
Abstract
It is conjectured that the planar hexagonal honeycomb provides the least-pe rimeter way to enclose and separate infinitely many regions of unit area. V arious natural formulations of the question are not known to be equivalent. We prove existence for two formulations. Many questions remain open.