Body of constant width with minimal area in a given annulus (Q2660426)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Body of constant width with minimal area in a given annulus |
scientific article |
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Body of constant width with minimal area in a given annulus (English)
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30 March 2021
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The following shape optimization problem is completely solved in this paper: find the planar domain of least area, among the sets with prescribed constant width and inradius. An explicit characterization of the minimizers is given for every choice of width and inradius. The uniqueness of the minimizer in the class of Reuleaux polygons is obtained, together with the minimal value of the area.
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area minimization
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constant width
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inradius constraint
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Reuleaux polygons
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