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The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\)

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Publication:1890633
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zbMath0823.49027MaRDI QIDQ1890633

Meg Tilton, Lisa Harrison, Andrew Mauer, Susan Kim, Janette Light, Michael Hutchings, Christopher Cox

Publication date: 22 October 1995

Published in: Real Analysis Exchange (Search for Journal in Brave)


zbMATH Keywords

enclose and separate three areasstandard triple bubble


Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Inequalities and extremum problems involving convexity in convex geometry (52A40) Length, area, volume and convex sets (aspects of convex geometry) (52A38) Optimization of shapes other than minimal surfaces (49Q10)


Related Items

Weak approach to planar soap bubble clusters, Minimal clusters of four planar regions with the same area, The shortest enclosure of two connected regions in a corner, The structure of area-minimizing double bubbles, Perimeter-minimizing triple bubbles in the plane and the 2-sphere, Bubble model analysis on the cell formation of a green alga



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