An affine plane is a type of geometric structure that consists of points and lines, where the concept of parallelism is defined. In an affine plane, any two distinct points determine a unique line, and through a point not on a given line, there is exactly one line parallel to the given line. This structure does not include the concept of distance or angles, focusing instead on the relationships between points and lines. Affine planes can be thought of as a generalization of Euclidean geometry without the rigid constraints of measuring distances. They are often used in various fields, including computer graphics and projective geometry, to model and analyze spatial relationships in a simplified manner.