2024/03/15 by Raghavendra N. Bhat, Bhat, Raghavendra N., Cristian Cobeli +3 · 1 citation
Computer Science · Engineering · #52C20 #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #Digital Image Processing Techniques #FOS: Mathematics #Number Theory (math.NT) #Primary 11B37 #Secondary 11B50 #Spatial Cognition and Navigation
paper · pdf · doi:10.48550/arxiv.2403.10500
openalex publication_date 2024/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We introduce and study a three-folded linear operator depending on three parameters that has associated a triangular number tilling of the plane. As a result the set of all triples of integers is decomposed in classes of equivalence organized in four towers of two-dimensional triangulations. We provide the full characterization of the represented integers belonging to each network as families of certain quadratic forms. We note that one of the towers is generated by a germ that produces a covering of the plane with Löschian numbers.