👉 In mathematics, an extremality condition is a property that is considered necessary or sufficient for a set of points to be at a unique position in a plane. This means that the set of points must have exactly one position where they are equidistant from any other point on the plane. For example, consider the set S of all points (x, y) with x^2 + y^2 = 1. This set is extremal because it has exactly one position where all its points