Newton Fractal — Extended

Newton's method z ↦ z − f(z)/f'(z) for high-degree polynomials. Each pixel colored by which root it converges to (hue) and how fast (brightness). Zoom into the intricate boundary — a Julia set analog. Try relaxed Newton z ↦ z − α·f(z)/f'(z) to see bifurcations.

Polynomial
Relax α1.00
Max Iter60
Resolution
Ready