L-systems: Difference between revisions

From JSXGraph Wiki
No edit summary
Line 492: Line 492:


===The underlying JavaScript code===
===The underlying JavaScript code===
The underlying [[JavaScript code for producing Lindenmayer systems]]===
The underlying [[JavaScript code for producing Lindenmayer systems]]
 
===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

Revision as of 16:50, 3 January 2009

Online experiments with 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. The visualization is done by the JavaScript library JSXGraph. 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


The underlying JavaScript code

The underlying JavaScript code for producing Lindenmayer systems

References