Bravais mark BRAVAIS
← Fractals
Cobalt Shards
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.