a9 – Iterative Quadratic Map Cloud

A swarm of points iterates a quadratic polynomial map (complex‑like) with mild damping & noise; accumulated density forms luminous nebulas.

Parameters

Map Coefficients A (x^2) B (xy) C (y^2) D (x) E (y) F (const) Nonlinearity

Dynamics Points Iterations/frame Step scale Damping Noise

Color / Render Hue base Hue drift Hue spread Light wave Point size Opacity Fade (decay)

Animate?

Controls

Formula

    Iteration: (x',y') = (A x² + B x y + C y² + D x + E y + F, A y² + B x y + C x² + D y + E x + F) then scaled & damped: p_{n+1} = (1-damp) p_n + stepScale * nonlin * (x',y') + noise. Hue from angle & iteration depth.

   

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Parameters