Abstract
A misstated conjecture in [3] leads to an interesting “(1, 3) representation” of the 7-point projective plane inR 4 where points are represented by lines and planes by 3-spaces. The corrected form of the original conjecture will be negated if there is a (1, 3) representation of the 13-point projective plane inR 4 but that matter is not settled.
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Boros, E., Füredi, Z. & Kelly, L.M. On representing sylvester-gallai designs. Discrete Comput Geom 4, 345–348 (1989). https://doi.org/10.1007/BF02187735
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DOI: https://doi.org/10.1007/BF02187735