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How do quadratic equations relate to the Julia set fractal?
CursingL
The Julia can be generated by a quadratic equation in the complex plane. Select a complex number c. Then for a point z in the plane, carry out the iteration,
zn+1 = zn2 + c.
Colour-code the point according to how many iterations are required before its magnitude exceeds any given threshold. Repeat for all z in the region of the plane.
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∙ 9y ago
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