2015/10/07 by Tetyana Osipchuk, Osipchuk, Tetyana, M. V. Tkachuk +2
Computer Science · Mathematics · Social Sciences · #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Historical Geography and Cartography #Mathematics and Applications #Metric Geometry (math.MG) #math.GT #math.MG
paper · pdf · doi:10.48550/arxiv.1510.02088
10 pages, 2 figures
arxiv created 2015/10/07 · openalex publication_date 2015/10/07 · arxiv updated 2015/10/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main goal of the paper is to solve some problems about shadow for the sphere generalized on the case of the ellipsoid. Here, the essence of the problem is to find the the minimal number of non-overlapping balls with centers on the sphere which are not holding the center of the sphere and such that every line passing through the center of the sphere would intersect at least one of the balls. Another method of solving the shadow problem for the sphere is also proposed.