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The Lorenz attractor is a chaotic map, noted for its butterfly shape. The map shows how the state of a dynamical system evolves over time in a complex, non-repeating pattern. Applied Math and Science Education Repository - Browse Resources. College of Mathematics at Free-Ed.Net. OpenLearn - The Open University. Podcasts - ACMS - UC San Diego. Open & Free Courses. Applied Math and Science Education Repository - Browse Resources. Browse by Topic. Code University - Google Code.