2025/01/07 by Katie Waddle, Waddle, Katie
Computer Science · Mathematics · #05E99 (Secondary) #51K99 (Primary) 52C25 #51M25 #51N25 #97G60 #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematical Approximation and Integration #Metric Geometry (math.MG) #Topological and Geometric Data Analysis
paper · pdf · doi:10.48550/arxiv.2501.03587
openalex publication_date 2025/01/07 · openalex created_date 2025/01/09 · openalex updated_date 2026/08/01
A fundamental problem in spherical distance geometry aims to recover an n-tuple of points on a 2-sphere in ℝ3, viewed up to oriented isometry, from O(n) input measurements. We solve this problem using algorithms that employ only the four arithmetic operations. Each algorithm recursively produces output data that we arrange into a new type of frieze pattern. These frieze patterns exhibit glide symmetry and a version of the Laurent phenomenon.