2023/07/09 by Rigoberto Flórez, Florez, Rigoberto, Thomas Zasĺavsky +1
Computer Science · Engineering · Mathematics · #05B35 #05C22 #51A30 #51E20 #Advanced Theoretical and Applied Studies in Material Sciences and Geometry #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Primary 51E26 #Secondary 05B15
paper · pdf · doi:10.48550/arxiv.2307.04079
openalex publication_date 2023/07/09 · openalex created_date 2023/07/12 · openalex updated_date 2026/07/28
A projective rectangle is like a projective plane that has different lengths in two directions. We develop the basic theory of projective rectangles including incidence properties, projective subplanes, configuration counts, a partial Desargues's theorem, a construction from projective planes, and alternative formulations. In sequels we study harmonic conjugation and the graphs of lines and subplanes.