An affine space is a geometric structure that generalizes the concept of Euclidean space. It consists of a set of points and a vector space, allowing for the definition of points in relation to one another without a fixed origin. This means that while distances and directions can be measured, there is no inherent coordinate system tied to the space. In an affine space, operations like addition of points and vectors are defined, enabling the translation of points. Affine transformations, such as translations and rotations, preserve the structure of the space, making it useful in various fields, including computer graphics and robotics.