Abstract
In this paper, we consider a measure of asymmetry for Reuleaux polygons, and show that the n-th (\(n \ge 3, n \;\text {odd}\)) regular Reuleaux polygons are the most symmetric ones among all n-th Reuleaux polygons. As a byproduct, we show that the Reuleaux triangles are the most asymmetric planar convex bodies of constant width.
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Project supported by NSF of Suzhou University of Science and Technology No. 341410004.
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Jin, H. Asymmetry of Reuleaux polygons. Beitr Algebra Geom 58, 311–317 (2017). https://doi.org/10.1007/s13366-016-0318-2
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DOI: https://doi.org/10.1007/s13366-016-0318-2