GROWTH

L-system branching at thirteen levels. Golden spirals tiling the plane. Thirty-four lines reaching toward light.

Bifurcation diagrams, dendritic growth, Lissajous blooms, logistic cascades, and reaction-diffusion patterns. Growth is not linear — it is fractal.

140 renders. 5 survived.

Bifurcation — x_{n+1} = rx_n(1 - x_n), r ∈ [2.5, 4]

Bifurcation

x_{n+1} = rx_n(1 - x_n), r ∈ [2.5, 4]

Dendrite — L → F[+L][-L]FL

Dendrite

L → F[+L][-L]FL

Lissajous Bloom — x = A sin(at + δ), y = B sin(bt)

Lissajous Bloom

x = A sin(at + δ), y = B sin(bt)

Logistic Cascade — dN/dt = rN(1 - N/K)

Logistic Cascade

dN/dt = rN(1 - N/K)

Reaction Diffusion — ∂u/∂t = Dᵤ∇²u + f(u,v)

Reaction Diffusion

∂u/∂t = Dᵤ∇²u + f(u,v)

Complete GROWTH Series

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The Story Behind This Series

Growth follows rules. The branching of trees obeys L-system grammars. The spiral of a nautilus follows the golden ratio. Reaction-diffusion systems create the spots on leopards and the stripes on zebrafish. This series renders these growth algorithms as minimalist art.

Mathematical primitive: L-systems, bifurcation, reaction-diffusion, logistic maps