English

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

Soft Condensed Matter 2019-01-03 v1 Metric Geometry

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.

Keywords

Cite

@article{arxiv.1206.3858,
  title  = {Are large two-dimensional clusters of perimeter-minimizing bubbles of equal-area hexagonal or circular?},
  author = {S. J. Cox and F. Morgan and F. Graner},
  journal= {arXiv preprint arXiv:1206.3858},
  year   = {2019}
}

Comments

10 pages, 9 figures