Fractal

Average
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y0 dy

Mandelbrot

$z_{n+1} = z_{n}^{2} + c$

$z_{n+1} = \bar{z}_{n}^{2} + c$

$z_{n+1} = \left(|\Re z_{n}| + i |\Im z_{n}| \right)^{2} + c$

$\Im z_{n+1} = \Re z_{n} \Im z_{n} \left(1 - \Im z_{n} \right)$