2. A mathematical billiard ball (i.e., a point with zero radius) is shot from corner A of the square below as shown on a line with a slope of 17/90. How many times will it bounce off a wall of the square before it returns to a corner, and which corner will it return to? The rule is that when it hits a wall of the square it bounces off with an angle equal to the angle of incidence. As one hint, try a few simpler cases first. Or not