My friend and colleague, Dr. Weiqi Gao (@weiqigao), suggested, during the October 2011 West St. Louis CocoaHeads meeting, that I add a Lissajous curve example to my Core Animation Fun House app. The source for the curve editor is now available as part of my Core Animation Fun House iPhone app on GitHub. I would like to thank Weiqi for suggesting the addition, and for helping me fine tune the implementation.
Here is a short video: