, Volume 4, Issue 1, pp 345-348

On representing sylvester-gallai designs

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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.