2007/07/09 by Frank H. Lutz, Lutz, Frank H., Nikolaus Witte +1
Computer Science · Mathematics · #52B70 #57M25 #57Q15 #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematics and Applications #Metric Geometry (math.MG) #math.CO #math.MG #msc:52B70 #msc:57M25 #msc:57Q15 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.0707.1281
10 pages, 7 figures
arxiv created 2007/07/09 · openalex publication_date 2007/07/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For every knot K with stick number k there is a knotted polyhedral torus of knot type K with 3k vertices. We prove that at least 3k-2 vertices are necessary.