5 articles
Blocking set
A blocking set in a finite projective or affine plane is a set of points that intersects every line, originating in Moses Richardson's 1955 work on games.
Fano plane
The Fano plane, or Fano configuration, is the smallest finite projective plane: 7 points and 7 lines, with 3 points on each line, constructed by Gino Fano in 1892.
Finite geometry
Finite geometry is the branch of geometry that studies geometric structures with finitely many points, notably projective and affine spaces over finite fields, with applications to coding theory and cryptography.
Ovoid (projective geometry)
An ovoid in finite projective geometry is a set of q²+1 points in PG(3,q) with no three collinear, used to build inversive planes, generalized quadrangles, and error-correcting codes.
Polar space
A polar space is a point-line incidence geometry satisfying the one-or-all axiom, introduced by F. D. Veldkamp in 1959 and tied to the classical groups of Lie type.