In mathematics, the term chaos is used to describe the tendency of some functions to have widely differing output with very small changes in input. One example of a chaotic system is weather. The main inputs to weather systems are pressure, humidity, and temperature. If these inputs change slightly, the resulting weather may be completely different. This is why weather is so hard to predict.
Fractals are chaotic functions. For examples of fractal art, see http://www.lifeisastoryproblem.com/art/index.html.
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