2012/12/02 by Emmanuel Tsukerman, Tsukerman, Emmanuel
Computer Science · Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG) #cs.DM #math.MG
paper · pdf · doi:10.48550/arxiv.1212.0200
arxiv created 2012/12/02 · openalex publication_date 2012/12/02 · arxiv updated 2012/12/04 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
In this paper, we introduce discrete conics, polygonal analogues of conics. We show that discrete conics satisfy a number of nice properties analogous to those of conics, and arise naturally from several constructions, including the discrete negative pedal construction and an action of a group acting on a focus-sharing pencil of conics.