Self-dual, not self-polar

The smallest number of points of an incidence structure which is self-dual but not self-polar is 7. For non-binary structures (where a ''point'' may occur more than once in a ''block'') the number is 6.

[1]  Peter J. Cameron,et al.  Projective and Polar Spaces , 1992 .

[2]  Stanislav Jendrol',et al.  A non-involutory selfduality , 1989, Discret. Math..