Gyroscope

See this mathematica demostration on gyroscopes.

(Tip! This just looks like a pretty 3D picture of a gyroscope, until you find out how the controls work! If you click on the small plus signs at the right of each slider, this will open up slider control panels. These will allow you to control the speed and direction of rotation of each of the three rings independently. The central spinning rotor maintains its orientation no matter how you move the three rings.)