Affine Plane

A 2-D Affine Geometry constructed over a Finite Field. For a Field $F$ of size $n$, the affine plane consists of the set of points which are ordered pairs of elements in $F$ and a set of lines which are themselves a set of points. Adding a Point at Infinity and Line at Infinity allows a Projective Plane to be constructed from an affine plane. An affine plane of order $n$ is a Block Design of the form ($n^2$, $n$, 1). An affine plane of order $n$ exists Iff a Projective Plane of order $n$ exists.

See also Affine Complex Plane, Affine Connection, Affine Equation, Affine Geometry, Affine Group, Affine Hull, Affine Space, Affine Transformation, Affinity, Projective Plane

References

Lindner, C. C. and Rodger, C. A. Design Theory. Boca Raton, FL: CRC Press, 1997.