The Minimal Perimeter for $N$ Confined Deformable Bubbles of Equal Area
نویسندگان
چکیده
منابع مشابه
The Minimal Perimeter for N Confined Deformable Bubbles of Equal Area
Candidates to the least perimeter partition of various polygonal shapes into N planar connected equal-area regions are calculated for N 6 42, compared to partitions of the disc, and discussed in the context of the energetic groundstate of a two-dimensional monodisperse foam. The total perimeter and the number of peripheral regions are presented, and the patterns classified according to the numb...
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1. INTRODUCTION. Physics often provides mathematics not only with a problem, but also with the idea of a solution. Physical reasoning has traditionally been a fruitful source of mathematical invention, having played a key role in some of the main discoveries of Archimedes, Bernoulli, and Riemann, among many others. In this article we give a much more modest example of a mathematical result that...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2010
ISSN: 1077-8926
DOI: 10.37236/317