Lindenmayer System


A Lindenmayer system, also known as an L-system, is a string rewriting system that can be used to generate fractals with dimension between 1 and 2. Several example fractals generated using Lindenmayer systems are illustrated above.

See also

Box Fractal, Dragon Curve, Exterior Snowflake, Fractal, Hilbert Curve, Koch Snowflake, Peano Curve, Peano-Gosper Curve, Sierpiński Arrowhead Curve, Sierpiński Curve, String Rewriting System

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Bulaevsky, J. "L-System Based Fractals.", J. "A Process to Generate Fractals.", M. "L-Systems in PostScript.", R. M. "Two-dimensional L-systems.", P. and Hanan, J. Lindenmayer Systems, Fractal, and Plants. New York: Springer-Verlag, 1989.Prusinkiewicz, P. and Lindenmayer, A. The Algorithmic Beauty of Plants. New York: Springer-Verlag, 1990.Stevens, R. T. Fractal Programming in C. New York: Holt, 1989.Wagon, S. "Recursion via String Rewriting." §6.2 in Mathematica in Action. New York: W. H. Freeman, pp. 190-196, 1991.

Referenced on Wolfram|Alpha

Lindenmayer System

Cite this as:

Weisstein, Eric W. "Lindenmayer System." From MathWorld--A Wolfram Web Resource.

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