Mathematical Chaos Game Atelier

Inspired by Michael Barnsley's classic chaos game, this version swaps bouncing balls for fractal attractors. Each click seeds a polygonal rule set; the algorithm repeatedly jumps partway toward randomly chosen vertices, revealing intricate self-similar art in real time.

Click or tap anywhere on the canvas to spawn a fresh chaos system. Layer several to paint with math.

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How it works: The chaos game is a stochastic process that converges toward deterministic fractals. By varying the vertex count, contraction ratio, and chromatic progression the page becomes a playable piece of mathematical art.