Bravais mark BRAVAIS
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Ten Arguments
Newton & Halley

Ten Arguments

Newton Fractal

Newton's method applied to f(z) = z^10 + 0.2z^9 - 0.4z^7 + 0.7z^5 - 0.3z^3 + 0.1z - 1, framed on all ten basins with the lace radiating from the critical knot at the origin. Hue is the argument of the captured root, so a basin whose root sits at 110 degrees in the plane is painted at 110 degrees on the colour wheel. Basin interiors fall to near-black and the undecided boundary releases its chroma into near-white.