Abstract
In this paper, we show that when Minkowski measure of asymmetry of convex body K of constant width is bigger than α (n-1), K has at least n+1 critical chords, where \(\alpha (n) = \frac{{n + \sqrt {2n(n + 1)} }}{{n + 2}}\).
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Foundation item: Supported by the Innovative Project of College Students of Jiangsu Province (201710332019Z), the Natural Science Foundation of Jiangsu Province(BK20171218), and the National Natural Science Foundation of China (11671293)
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Zhou, X., Jin, H. Critical Chords of Convex Bodies of Constant Width. Wuhan Univ. J. Nat. Sci. 23, 461–464 (2018). https://doi.org/10.1007/s11859-018-1348-4
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DOI: https://doi.org/10.1007/s11859-018-1348-4