An affine plane is a two-dimensional geometric structure that extends the concept of a plane in Euclidean geometry. It consists of points and lines, where points can be connected by lines, but there is no notion of distance or angle. In an affine plane, parallel lines never meet, and the properties of points and lines are preserved under transformations like translation. Affine planes can be defined using a set of axioms that describe how points and lines interact. They are often used in computer graphics and geometric modeling to represent shapes and transformations without the complexities of metric properties.