Newton Fractal
Complex root-finding via Newton's method — click to zoom
Polynomial
z³−1
z⁴−1
z⁵−1
z³−2z+2
z⁴−z
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Max iterations:
40
Tolerance:
1e-4
Shade by speed:
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Newton's method: z ← z − f(z)/f'(z). Each pixel is a starting point in ℂ. Color = which root was found. Brightness = convergence speed.