1. Draw two shapes: A circle and a rectangle
2. Select both shapes, hold down the Alt key, click and drag to create 4 copies.
3. Select the first pair of shapes and open the Pathfinder tool using Window > Pathfinder
4. First is the Unite tool. It will join two shapes. Apply this to the first pair of shapes.
5. Select the next pair of shapes and click the Minus Front tool. This will subtract the shape on top from the shape on bottom.
6. Select the next pair of shapes and click the Intersect tool. It will eliminate all but the intersections of the two shapes.
7. Select the next pair of shapes and click the Exclude tool. This will eliminate the intersection of the two shapes.
8. Remember to Ungroup to use the new paths.