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

Simon John Cox, F. Morgan, F. Graner

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

4 Dyfyniadau(SciVal)
111 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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.

Iaith wreiddiolSaesneg
Rhif yr erthygl20120392
Nifer y tudalennau10
CyfnodolynProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol469
Rhif cyhoeddi2149
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 08 Ion 2013

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