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Asymmetric polygons with maximum area (1501.07721v1)
Published 30 Jan 2015 in math.MG, cs.CG, and math.CO
Abstract: We say that a polygon inscribed in the circle is asymmetric if it contains no two antipodal points being the endpoints of a diameter. Given $n$ diameters of a circle and a positive integer $k<n$, this paper addresses the problem of computing a maximum area asymmetric $k$-gon having as vertices $k<n$ endpoints of the given diameters. The study of this type of polygons is motivated by ethnomusiciological applications.