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It's a tricky concept linked to chaos, but the Feigenbaum Constant is a special number which appears everywhere in nature. More symbols at http://www.sixtysymbols.com/

A simple pendulum demonstrates Chaos theory. The pendulum ends in a south magnetic pole, attracted by the four coloured north poles below.

A short clip on chaos theory

While on the guided tour, Dr. Malcolm (Jeff Goldblum) flirts with Dr. Sattler (Laura Dern) by explaining Chaos Theory.

Brief intro to chaos theory:

Chaos theory contends that complex and unpredictable results occur in systems that are sensitive to small changes in their initial conditions. This small changes effect is best illustrated and commonly known as the "Butterfly Effect" which states that the flapping of ...

Chaos theory has a bad name, conjuring up images of unpredictable weather, economic crashes and science gone wrong. But there is a fascinating and hidden side to Chaos, one that scientists are only now beginning to understand. It turns out that chaos theory answers a question that mankind has asked

The professor explains enough of the basics of chaos theory to make this worthwhile viewing. The idea of this program is that professors come in and defend a chosen theory to the panel, which is then accepted or rejected by vote. It's on BBC4 for those who want to know.