Given two wheels connected by a belt and a point on the outer rim of each, one can generate a Lissajous figure by the motion of the wheels. The coordinates of a point on a wheel can be described by sine functions of a certain frequency and phase shift.
Click the figure below to see the video.
![Generating Lissajous Figures with Wolfram Mathematica, Video.](http://www.gogeometry.com/software/generating_lissajous_1.jpg)
See also:
Generating Lissajous Figures