Discrete & Computational Geometry

, Volume 4, Issue 4, pp 345–348

On representing sylvester-gallai designs


  • Endre Boros
    • Mathematical InstituteHungarian Academy of Science
  • Zoltan Füredi
    • Mathematical InstituteHungarian Academy of Science
  • L. M. Kelly
    • Department of MathematicsMichigan State University

DOI: 10.1007/BF02187735

Cite this article as:
Boros, E., Füredi, Z. & Kelly, L.M. Discrete Comput Geom (1989) 4: 345. doi:10.1007/BF02187735


A misstated conjecture in [3] leads to an interesting “(1, 3) representation” of the 7-point projective plane inR4 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 inR4 but that matter is not settled.

Copyright information

© Springer-Verlag New York Inc. 1989