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Lindenmayer Systems in Python

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(Last Update 2010-03-15 10:12)

Lindenmayer Systems in Python provides a simple implementation of Lindenmayer systems (also called "L-systems" or "substitution systems"). In basic form, a Lindenmayer system consists of a starting string of symbols from an alphabet which has repeated transitions applied to it, specified by a list of transition search-and-replace rules. In addition to the standard formulation, two alternative implementations are included: sequential systems (in which at most one rule is applied) and tag systems (in which the transition only takes place at the beginning and end of the string). Despite being implemented entirely in Python, for reasonable rules on a modern machine, the system is capable of running thousands of generations per second. Lindenmayer systems are found in artificial intelligence and artificial life and can be used to generate fractal patterns (usually via mapping symbols from the alphabet to turtle commands), organic-looking patterns that can simulate plants or other living things, or even music.

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