Body of constant width with minimal area in a given annulus
نویسندگان
چکیده
In this paper we address the following shape optimization problem: find planar domain of least area, among sets with prescribed constant width and inradius. literature, problem is ascribed to Bonnesen, who proposed it in [3]. present work, give a complete answer problem, providing an explicit characterization optimal for every choice These are particular Reuleaux polygons.
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ژورنال
عنوان ژورنال: Journal de l'E?cole polytechnique
سال: 2021
ISSN: ['2429-7100', '2270-518X']
DOI: https://doi.org/10.5802/jep.150