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This is a Flash animation of a double pendulum, an extremely simple system (there are only two points of freedom) that demonstrates deterministic chaos. MP4 BackUp

It's not hard to understand what's happening if you look at the whole picture (though you may still find the erratic behavior of the pendulum surprising). But if all you could see was the moving red dot, without the mechanism behind it, could you reconstruct the simple system driving its behavior?

This is a math-based animation/simulation. To see a real double pendulum in action, click here (MP4 BackUp).

Note that you can play these videos in full-screen mode by clicking the full-screen icon on the video control bar: