I have often created moiré patterns with the wheels in my kinetic sculptures. Shimmer and Illusion are two strong examples. Artist Jakob Bue of Denmark recently posted this video on YouTube which takes the creation of these interference patterns to an entirely new level.
Here is a link to an interactive website that allows you to experiment with variables in order to create different types of moiré patterns. By using the arrow keys and mouse along with the controls on the screen you can create incredible patterning effects. You probably can't stay at the website for long before your eyes and stomach start going wonky!