Write a program to draw the following recursive design: Begin with a square. Then draw a smaller square at and centered on each corner. Recursively repeat drawing smaller squares at the corners of...

Write a program to draw the following recursive design:

Begin with a square. Then draw a smaller square at and centered on each corner. Recursively repeat drawing smaller squares at the corners of squares until either a maximum number of recursive levels is reached or the squares become smaller than a predetermined size.