NEWTON_FRACTAL

CHAOTIC_SYSTEM_VISUALIZATION // MODULE_06

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SYSTEM_PARAMETERS

x range [-0.0100, 0.0100]

y range [-0.0100, 0.0100]

Max Iterations 50

z(n+1) = z(n) - (z³ - 1) / (3z²)

LIVE_RENDER // CANVAS_2D

DATA_LOG: NEWTON_FRACTAL

Newton fractals are created by applying Newton's method to find roots of complex functions. Each pixel is colored based on which root it converges to. The intricate boundaries between basins of attraction form beautiful fractal patterns, revealing the chaotic nature of the method's behavior.