Gourt > Computers > Artificial Life > Lindenmayer Systems
An L-system or Lindenmayer system is a formal grammar (a set of rules and symbols) most famously used to model the growth processes of plant development, though able to model the morphology of a variety of organisms. L-systems can also be used to generate self-similar fractals such as iterated function systems. L-systems were introduced and developed in 1968 by the Hungarian theoretical biologist and botanist from the University of Utrecht, Aristid Lindenmayer (1925–1989).
Origins
As a biologist, Lindenmayer worked with yeast and filamentous fungi and studied the growth patterns of various types of algae, such as the blue/green bacteria Anabaena catenula. Originally the L-systems were devised to provide a formal description of the development of such simple multicellular organisms, and to illustrate the neighbourhood relationships between plant cells. Later on, this system was extended to describe higher plants and complex branching structures.
L-system structure
The recursive nature of the L-system rules leads to self-similarity and thereby fractal-like forms which are easy to describe with an L-system. Plant models and naturally-looking organic forms are similarly easy to define, as by increasing the recursion level the form slowly 'grows' and becomes more complex. Lindenmayer systems are also popular in the generation of artificial life. More on [ L-system ]
Photo: Lindenmayer Systems in Architecture by Michael Hansmeyer To say that I properly understand anything... http://tumblr.com/x3m4870cp
zaflol (Zachary Rootes) Tue, 24 Nov 2009 13:33:35 -0000
Photo: Lindenmayer Systems in Architecture by Michael Hansmeyer To say that I properly understand anything... http://tumblr.com/x3m4870cp
Algorithmic Botany - The definitive resource for L-Systems, this University of Calgary site is maintained by Lindenmayers collaborators. It contains many unique articles, and a full-length copy of 'The Algorithmic Beauty of Plants'.
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A Lindenmayer-systems Implementation - Macintosh software for download with documentation by Bryan Horling.
A Sketchbook on L-systems - Modeling and visualization of plants using parametric L systems.
An Introduction to Lindenmayer Systems - A basic introduction to L-Systems with some colourful examples.
Meta Description: [ Brief Introduction to Lindenmayer Systems (L-systems) and their graphic interpretation. Simplest L-systems type: 2D D0L-systems ]
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BioSchematics - An L-System interpreter and drawing tool for linux.
Meta Description: [ Home Page of BioSchematics, an L-System drawing tool under Linux. The program uses Guile to calculate the L-System and OpenGL to draw it. This program can draw parametric L-System. ]
Christian Jacob - A collection of papers related to using Mathematica to generate L-Systems.
L-systems - A guide to the theory behind L-Systems.
Meta Description: [ L-systems ]
L-Systems Explorer - A Windows-based L-System program.
Meta Description: [ Generation5 aims to be the most comprehensive Artificial Intelligence site on the Internet. Community-orientated, Generation5 deals with all AI topics including robotics, neural networks, genetic algorithms, AI programming, home automation and much more. ]
L-Systems Tutorial - A mathematical introduction to how L-Systems work.
Meta Description: [ VLAB, Virtual Laboratory ]
Laurens Lapre's Lparser - Windows software and some information on LSystems and related ideas.
Meta Description: [ An overview of my graphic art projects and lparser software ]
LGrammar - A graphics tool for Lindenmayer systems in C and Java.
LMUSe - Interprets L-Systems as MIDI music.
lsystem - A simple implementation of Lindenmayer systems written in Python.
Mathematical Figures - Illustrations of 2D and 3D L-Systems created with Mathematica.
Meta Description: [ Fractals and combinatorics diagrams created using Mathematica. ]
New ALife Database - A collection of automatically collected L-System links.
Recursive Productions and Grammars - A guide to the rules of strict grammars including L-Systems.
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Virtual Plants - A project involving Java3D and L-Systems.
Wikipedia L-systems - A well rounded introduction to L-Systems.
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