How does moon form a clover leaf path in its 18 year motion of its orbital cylce?

Answer 1

The description of the shape of the path is entirely dependent on the point of view of the observer. The shape you describe is based on the relationship between the independent periods of the orbit of the moon and the orbit of the earth and the rotation of the earth. There currently is an 18 year coincidence between these cyclical events.

Answer 2

Not sure if it's a clover or not

http://www.aaa.org/aaahighlowmoon.htm