👉 In mathematics, a homographic function is a function that maps one variable to another. Specifically, it's a function that can be represented as a composition of translations and dilations. This means that if you apply a homographic function to a point in a space, it will return the same point back to itself. For example, consider a square with vertices at (0, 0), (0, 1), (1, 0), and (1, 1). A hom