2014/01/31 by Károly Bezdek, Karoly Bezdek, Bezdek, Karoly +3
Mathematics · Social Sciences · #52A30 #52A35 #52C99 #FOS: Mathematics #Historical Geography and Cartography #Metric Geometry (math.MG) #math.MG #msc:52A30 #msc:52A35 #msc:52C99
paper · pdf · doi:10.48550/arxiv.1401.8229
16 pages, 2 figures
arxiv created 2014/01/31 · openalex publication_date 2014/01/31 · arxiv updated 2014/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, spindle starshaped sets are introduced and investigated, which apart from normalization form an everywhere dense subfamily within the family of starshaped sets. We focus on proving spindle starshaped analogues of recent theorems of Bobylev, Breen, Toranzos, and Zamfirescu on starshaped sets. Finally, we consider the problem of guarding treasures in an art gallery (in the traditional linear way as well as via spindles).