A two-dimensional affine geometry constructed over a finite field. For a field 
of size 
, the affine plane consists of the set of points which are
ordered pairs of elements in 
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 
is a block design of
the form (
,
, 1). An affine plane of order 
exists iff a projective
plane of order 
exists.
Affine Plane
See also
Affine Complex Plane, Affine Equation, Affine Geometry, Affine Group, Affine Hull, Affine Space, Affine Transformation, Projective PlaneExplore with Wolfram|Alpha
References
Lindner, C. C. and Rodger, C. A. Design Theory. Boca Raton, FL: CRC Press, 1997.Referenced on Wolfram|Alpha
Affine PlaneCite this as:
Weisstein, Eric W. "Affine Plane." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/AffinePlane.html