Fano plane

Definition

The Fano plane is a projective plane of order 2, so it has $2^{2}+2+1=7$ points. It is the unique projective plane of order 2, and can be constructed as the projective plane $\mathbb {P} ^{2}(\mathbb {F} _{2})$ over field:F2.

See also classification of projective planes of order 2.