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Amethyst Nebula
Newton & Halley

Amethyst Nebula

Newton Fractal

A vibrant, symmetrical fractal radiating from a central, glowing white-purple core, its intricate floral structures extending outward like a cosmic starburst or a complex nebula. Deep violet, indigo and bright neon purple against a dark background. Newton's method applied to p(z) = z^12 + z^5 + 1. Colour shows which of the twelve roots each point converges to.