2015/01/30 by Luis Barba, L. Barba, Barba, L. +11
Arts and Humanities · Computer Science · Mathematics · #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Historical Linguistics and Language Studies #Mathematics and Applications #Metric Geometry (math.MG) #Musicology and Musical Analysis #cs.CG #math.CO #math.MG
paper · pdf · doi:10.48550/arxiv.1501.07721
arxiv created 2015/01/30 · openalex publication_date 2015/01/30 · arxiv updated 2015/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.