Calculations of the minimal perimeter for N deformable bubbles of equal area confined in an equilateral triangle
نویسندگان
چکیده
Candidates to the least perimeter partition of an equilateral triangle into N planar connected regions are calculated for N ≤ 45. A Voronoi construction is used to randomly create the candidates and then the perimeter of each is found with the Surface Evolver. The optimal configuration for each N has no more than one defect pair, and its location is determined by the proximity of N to a triangular number, allowing a prediction to be made for the optimal structure of partitions for larger N.
منابع مشابه
The Minimal Perimeter for N Confined Deformable Bubbles of Equal Area
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