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

The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\) (Q1890633)

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scientific article; zbMATH DE number 756675
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English
The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\)
scientific article; zbMATH DE number 756675

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    The shortest enclosure of three connected areas in \(\mathbb{R}^ 2\) (English)
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    22 October 1995
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    In the present paper the authors prove that the ``standard triple bubble'' is the shortest way to enclose and separate three areas \(A_ 1\), \(A_ 2\), \(A_ 3\) in \(\mathbb{R}^ 2\), assuming that the enclosed regions and the exterior region are connected.
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    standard triple bubble
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    enclose and separate three areas
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