Affine Space

An affine space is a mathematical structure that generalizes the concept of geometric spaces. It consists of points and vectors, allowing for the representation of positions without a fixed origin. In an affine space, you can describe relationships like distances and directions between points, but you can't define absolute locations. This means you can move around freely while maintaining the spatial relationships, much like how you can shift an entire map without changing the distances and paths shown on it. Affine spaces are used in various fields, including computer graphics, robotics, and physics, to model systems and transformations.