embedded in a higher-dimensional projective space. Only the planes from the vector space construction PG(2, K) can appear in projective spaces of higher dimension. Some disciplines in mathematics restrict the meaning of projective plane to only this type of projective plane since otherwise general statements about projective spaces would always have to mention the exceptions when the geometric dimension is two. See also Block design – a generalization of a finite projective plane. Combinatorial design Incidence structure Generalized polygon Projective geometry Non-Desarguesian plane Smooth projective plane Transversals in finite projective planes Truncated projective plane – a projective plane with one vertex removed. VC dimension of a finite projective plane Notes References External links G. Eric Moorhouse, Projective Planes of Small Order, (2003) Ch. Weibel: Survey of Nondesarguesian planes Projective geometry Incidence geometry Euclidean plane geometry Algebraic geometry Hypergraphs Computer-assisted proofs