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arXiv · 1501.07721

Asymmetric polygons with maximum area

L. Barba·L. E. Caraballo·J. M. Díaz-Báñez·R. Fabila-Monroy·E. Pérez-Castillo
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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.

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L. Barba, L. E. Caraballo, J. M. Díaz-Báñez, R. Fabila-Monroy, E. Pérez-Castillo. 2015-01-30. Asymmetric polygons with maximum area. https://arxiv.org/abs/1501.07721

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