Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?

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Type Article
Original languageEnglish
Article number20120392
Number of pages10
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume469
Issue number2149
DOI
Publication statusPublished - 08 Jan 2013
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Abstract

A computer study of clusters of up to N = 200 000 equal-area bubbles shows for the first time that partially rounding conjectured optimal hexagonal planar soap bubble clusters reduces perimeter. Different methods of creating optimal clusters are compared, and new candidate minimizers for several N are given.

Keywords

  • Surface Evolver, perimeter minimization, soap bubble clusters, ENERGY, CONJECTURE

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