Are large perimeter-minimizing two-dimensional clusters of equal-area bubbles hexagonal or circular?
Authors
Organisations
| Type | Article |
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| Original language | English |
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| Article number | 20120392 |
| Number of pages | 10 |
| Journal | Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences |
| Volume | 469 |
| Issue number | 2149 |
| DOI | |
| Publication status | Published - 08 Jan 2013 |
| Links |
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| Permanent link | Permanent link |
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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
Documents
- Cox morgan graner v4
Accepted author manuscript, 1.57 MB, PDF