L-System Generator

Explore the beauty of formal languages and fractals with the L-System (Lindenmayer System) Generator. Used to model the growth of plants and biological structures, L-Systems use a set of recursive rules to expand an initial string (axiom) into a complex pattern, which is then rendered as a geometric path. Everything runs locally in your browser.

Preset

Configuration

Axiom

Rules

Iterations

Angle (deg)

Step Size

Resulting String

—Visualization

How it works. The generator starts with the Axiom. In each iteration, it replaces every character in the current string according to the Rules (e.g., F → F+F-F-F+F). The resulting string is then interpreted as drawing commands:
- F: Move forward and draw a line.
- +: Rotate right by the specified angle.
- -: Rotate left by the specified angle.
- [ la: Save current position and angle to a stack.
- : Restore last saved position and angle from the stack. Pairs with the Game of Life and Maze Generator tools. Everything runs locally — nothing leaves your browser.