Calculus of Variations and Geometric Measure Theory

E. Paolini - A. Tamagnini

Minimal cluster computation for four planar regions with the same area

created by paolini on 18 Apr 2018
modified on 09 Nov 2026

[BibTeX]

Published Paper
AI statement: 🟢 AI-Free: no AI used.

Inserted: 18 apr 2018
Last Updated: 9 nov 2026

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

Abstract:

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


Download: