dat-lsys

L-System generator implemented in Python3.

Usage

• Clone the repo and go to src directory

  git clone https://github.com/DatSudo/dat-lsys.git
  cd dat-lsys/src

• Run dat-lsys.py

  # Show usage
  python dat-lsys.py -h
  
  # Generate l-system
  python dat-lsys.py -l kc -n 6

• Args:

  • -l, --lsystem [l-system name initials]
    • kc: Koch curve
    • dc: Dragon curve
    • st: Sierpinski triangle
    • fp: Fractal plant
  • -n --numgen [number of generations]: Must be between 0 and 7 only. You might want to change that if you have a beefy PC.

How L-system works

You need to have these three:

• Alphabet/symbols. Each symbol corresponds to some graphics movement such as "forward", "turn right", etc.
• Axiom. The initial state.
• Rules. Rules on how symbols will transform in each generation.

Example (Koch curve):

• Symbols: $F$, $+$, $-$
• Axiom: $F$
• Rules: $F \rightarrow F+F-F-F+F$

$$\begin{align*} G=0 \rightarrow & F \\ G=1 \rightarrow & F+F−F−F+F \\ G=2 \rightarrow & F+F−F−F+\dots −F+F \\ \end{align*}$$

If we try to draw this with $F$ means "draw forward", $+$ means "turn left 90°", and $-$ means "turn right 90°":

At $G=4$:

More examples:

Dragon Curve	Sierpinski Triangle	Fractal Plant

TODO

• README
• GUI
• Documentation
• LICENSE