NEWTON_FRACTAL
CHAOTIC_SYSTEM_VISUALIZATION // MODULE_06
SYSTEM_PARAMETERS
-0.0100
0.0100
-0.0100
0.0100
50
z(n+1) = z(n) - (zĀ³ - 1) / (3zĀ²)
LIVE_RENDER // CANVAS_2D
LIVE_RENDER
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.