
Newton & Halley
Cobalt Shards
Relaxed Newton Fractal
Newton's method with complex relaxation m = 1 - 0.45i applied to f(z) = z^6 - (2+3i)z + i. Convergence is linear and every residual turns a quarter circle per step, which shears the six basins into faceted shards. Colour shows the basin and the smoothed crossing time.