Fractal Canopy Tree

A fractal tree built by recursive binary branching. Each branch splits into two, scaled by a ratio and rotated by ±angle. With enough depth the structure becomes a genuine fractal — the canopy boundary has dimension log(2)/log(1/ratio). Wind animation sways branches with depth-dependent phase delays, mimicking real tree dynamics.

25°
0.72
10
0.30
0.80
Hausdorff dimension of the canopy = log(2) / log(1/ratio). At ratio=0.707 (1/√2), dimension = 2 — the tree fills the plane.