Write a program to draw the following recursive design: Beginning with a circle, you inscribe two circles whose diameters are one-half of the given circle’s diameter and that are tangent to both...

Beginning with a circle, you inscribe two circles whose diameters are one-half of the given circle’s diameter and that are tangent to both the larger circle and to each other. An imaginary line joining the centers of the three circles is horizontal. You recursively repeat this process on each circle. At each successive level of the recursion, the imaginary line joining the inscribed circle centers alternates between horizontal and vertical.