Calculus of Variations and Geometric Measure Theory
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E. Paolini - A. Tamagnini

Minimal cluster computation for four planar regions with the same area

created by paolini on 18 Apr 2018
modified on 24 Jul 2018


Published Paper

Inserted: 18 apr 2018
Last Updated: 24 jul 2018

Journal: Geometric Flows
Volume: 3
Number: 1
Pages: 90--96
Year: 2018
Doi: 10.1515/geofl-2018-0007
Links: article in journal


The topology of a minimal cluster of four planar regions with equal areas and smallest possible perimeter was found in (9). Here we describe the computation used to check that the symmetric cluster with the given topology is indeed the unique minimal cluster.

Keywords: minimal cluster


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