L-system branching — self-similarity at every scale
Depth
9
Branch Angle
30°
Branch Ratio
0.68
Randomness
0.00
Trunk Width
8
Each branch splits into two at a given angle, scaled by a fixed ratio. Recursion creates self-similar structure.
The Pythagoras tree tiles the plane perfectly when angle=45°.
Ferns emerge from asymmetric branching (Barnsley fern). Adding randomness mimics real biological growth —
nature's trees use stochastic L-systems. The Hausdorff dimension depends on branching ratio and angle.