Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

Simon Cox

Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

Simon Cox

Department of Physics

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Abstract

Candidates to the least perimeter partition of the surface of a sphere into N planar connected regions are calculated for N ≤ 32. A search procedure based upon random shuffling and combinatorial enumeration is used. It is conjectured that the optimal configuration for each N > 13 consists of 12 pentagons and N−12 hexagons.

Original language	English
Publication status	Published - 21 May 2009

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Calculations of the minimal perimeter for N deformable bubbles of equal area confined to the surface of a sphere

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