We will assume that the sides of a square are reflective and we will designate them with the names of the four cardinal points. Marking a point on the side N , determine in which direction a ray of light should exit (into the interior of the square) so that it returns to it after having undergone n reflections on the side E , another n on the side W , m on the S and mā1 on the N, where n and m are known natural numbers. What happens if m and n are not prime to each other? Calculate the length of the light ray considered as a function of m and n, and of the length of the side of the square. geometrygeometric transformationreflection