, http://www-history.mcs.st-andrews.ac.uk/Biographies/Fano.html   . Gino Fano at the Mathematics Genealogy Project In finite geometry , the Fano plane (after Gino Fano ) is the finite projective plane with the smallest possible number of points and lines: 7 each. Contents 1 Homogeneous coordinates 2 Symmetries 3 Configurations 4 Group-theoretic construction 5 Block design