Tool
L-system playground
Pick a Lindenmayer system, choose an iteration depth, and watch a turtle render it line by line. All seven systems are deterministic D0L-systems, the simplest L-system class, but they already produce snowflakes, dragons, plants, and space-filling curves.
Sequence length grows exponentially with iterations.
Preset uses 90°. Drift it to see how the shape morphs.
axiom: F
rule: F → F+F-F-F+F
sequence length: 0
render: 0 ms
Turtle interpretation
F G A B: step forward, drawing+: turn right by angle-: turn left by angle[: push position and heading on stack]: pop position and heading
Read the background article at /fractals/lsystems for the formal definition and history. The closely related fractals can be found on their own pages, e.g. Koch snowflake and Heighway dragon.
FAQ