Topic: Lindenmayer system

Level:
Advanced

In this part, I take reference from:

- the english Wikipedia page about L-systems: http://en.wikipedia.org/wiki/L-System.
- the book “The Algorithmic Beauty of Plants” written by Przemyslaw Prusinkiewicz and Aristid Lindenmayer.

This section will deal with the Lindemayer systems or L-system introduced and developed in 1968 by the Hungarian theoretical biologist Lindenmayer. A L-System is a set of rules and symbols used to to model the growth processes of plant development, but also able to model the morphology of a variety of organisms. The main concept in L-Systems is “rewriting rules”. This technic is used to replace some initial condition using some rules to do the replacement.

15.1 Formal definition

15.2 Turtle interpretation

15.2.1 Usual Symbols

15.2.2 Van Snowflake

15.2.3 Quadratic Van Koch curve

15.2.4 Dragon curve

15.2.5 Hilbert 3D curve

15.2 Turtle interpretation

15.2.1 Usual Symbols

15.2.2 Van Snowflake

15.2.3 Quadratic Van Koch curve

15.2.4 Dragon curve

15.2.5 Hilbert 3D curve