FRACTAL BASINS

Newton's method on z⁴+c = 0 in the complex plane. Fractal basin boundaries where root convergence is unpredictable — Cantor bouquet structure.

Polynomial: z⁴ − 1 = 0 z⁴ + c (vary c) z³ − 1 = 0 z⁵ − 1 = 0 z⁴ − z + c Max iterations: 60 Zoom: 1.00× c_re: 0.00 c_im: 0.00 Color mode: By root By convergence speed Smooth coloring Combined Render Reset View

Scroll to zoom | Click to center
Re: 0 Im: 0