L-systems: Difference between revisions

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===Lindenmayer Systems===
A Lindenmayer System consists of
* an initial string called ''axiom''
* a set of rewriting ''rules''
This is an experimental page, where the Lindenmayer Systems can be changed online.
For each system a maximum ''level'' is defined. If this value is increased, the complexity of the drawing rises and running time increases, too.
Most of the examples are from the book by Przemyslaw Prusinkiewicz and James Hanan: ''Lindenmayer Systems, Fractals, and Plants
'', see the References.
===Sierpinski curve===
===Sierpinski curve===
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===References===
===References===
* Przemyslaw Prusinkiewicz, James Hanan: Lindenmayer Systems, Fractals, and Plants (Lecture Notes in Biomathematics). Springer-Verlag 1989, ISBN 0-387-97092-4
* Przemyslaw Prusinkiewicz, James Hanan: Lindenmayer Systems, Fractals, and Plants (Lecture Notes in Biomathematics). Springer-Verlag 1989, ISBN 0-387-97092-4
* [http://en.wikipedia.org/wiki/L-system http://en.wikipedia.org/wiki/L-system]
* [http://en.wikipedia.org/wiki/Space-filling_curve http://en.wikipedia.org/wiki/Space-filling_curve]
* [http://en.wikipedia.org/wiki/Penrose_tiling http://en.wikipedia.org/wiki/Penrose_tiling]
* [http://en.wikipedia.org/wiki/Kolam http://en.wikipedia.org/wiki/Kolam]


[[Category:Examples]]
[[Category:Examples]]
[[Category:Fractals]]
[[Category:Turtle Graphics]]
[[Category:Turtle Graphics]]

Revision as of 20:29, 30 December 2008

Lindenmayer Systems

A Lindenmayer System consists of

  • an initial string called axiom
  • a set of rewriting rules

This is an experimental page, where the Lindenmayer Systems can be changed online. For each system a maximum level is defined. If this value is increased, the complexity of the drawing rises and running time increases, too.

Most of the examples are from the book by Przemyslaw Prusinkiewicz and James Hanan: Lindenmayer Systems, Fractals, and Plants , see the References.

Sierpinski curve



Quadratic snowflake variation


Dragon curve


Islands and lakes



Peano curve


Hexagonal Gosper curve


Plant 1


Plant 2


Hexagonal kolam


Mango kolam



Penrose tiling


References