Asymmetric polygons with maximum area

@article{Barba2016AsymmetricPW,
  title={Asymmetric polygons with maximum area},
  author={Luis Barba and Luis Evaristo Caraballo and Jos{\'e} Miguel D{\'i}az-B{\'a}{\~n}ez and Ruy Fabila Monroy and Edel P{\'e}rez-Castillo},
  journal={ArXiv},
  year={2016},
  volume={abs/1501.07721}
}
  • Luis Barba, Luis Evaristo Caraballo, +2 authors Edel Pérez-Castillo
  • Published 2016
  • Mathematics, Computer Science
  • ArXiv
  • 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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