Physics / Math
Fractal growth
Branching growth laws: trees, lightning and river networks.
What happens
A tree grows from a seed by one rule repeated: every branch spawns smaller copies of itself at a fixed angle. That single rule fixes all the proportions, and the info line quotes the fractal dimension of the crown. Change the forks, depth, ratio and tilt, roll a new species, or click to shake the tree.
Equations used in the module
Equations
L_{n+1} = r L_n, θ_{n+1} = θ_n ± α
N_branches = k^n, D = ln k / ln(1/r) (fractal dimension)
total length = L₀ Σ (k r)^n
