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Geometric Hyperplanes: Desargues Encodes Doily

2011/01/03 by Метод Санига, Saniga, Metod
Computer Science · Social Sciences · #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geographic Information Systems Studies

paper · pdf · doi:10.48550/arxiv.1101.0977

openalex publication_date 2011/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that the structure of the generalized quadrangle of order two is fully encoded in the properties of the Desargues configuration. A point of the quadrangle is represented by a geometric hyperplane of the Desargues configuration and its line by a set of three hyperplanes such that one of them is the complement of the symmetric difference of the remaining two and they all share a pair of non-collinear points.

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