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paper

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

arXiv:1206.3858 · doi:10.1098/rspa.2012.0392

Abstract

A computer study of clusters of up to 200,000 equal-area bubbles shows for the first time that rounding conjectured optimal hexagonal planar soap bubble clusters reduces perimeter.

10 pages, 9 figures