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On particular examples of planar integral point sets and their\n classification

2021/02/24 by N. N. Avdeev, Nikolai Avdeev, Avdeev, Nikolai +4
Computer Science · Engineering · Mathematics · #52C10 #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #Computer science #Euclidean geometry #FOS: Mathematics #Geometry #Integral geometry #Mathematical analysis #Mathematics #Planar #Plane (geometry) #Point (geometry) #Point processes and geometric inequalities #Set (abstract data type) #Structural Analysis and Optimization #math.CO #msc:52C10

paper · pdf · doi:10.48550/arxiv.2102.12462

openalex publication_date 2021/02/24 · arxiv created 2021/03/27 · arxiv updated 2021/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A planar integral point set is a set of non-collinear points in plane such\nthat for any pair of the points the Euclidean distance between the points is\nintegral. We discuss the classification of planar integral point sets and\nprovide examples of sets that are not covered by the existent classification.\n

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