Asymmetric polygons with maximum area
Metric Geometry
2015-02-03 v1 Computational Geometry
Combinatorics
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 diameters of a circle and a positive integer , this paper addresses the problem of computing a maximum area asymmetric -gon having as vertices endpoints of the given diameters. The study of this type of polygons is motivated by ethnomusiciological applications.
Cite
@article{arxiv.1501.07721,
title = {Asymmetric polygons with maximum area},
author = {L. Barba and L. E. Caraballo and J. M. Díaz-Báñez and R. Fabila-Monroy and E. Pérez-Castillo},
journal= {arXiv preprint arXiv:1501.07721},
year = {2015}
}