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Mandelbrot集与Julia集图像生成器

这是一个很好用的工具,你只需提供迭代函数,就可以为您生成指定位置的填充Julia集,和这个函数的广义Mandelbrot集

您的函数应当为$f(z,c)$,其中$c$在迭代过程中是常数,最常见的函数是$f(z,c)=z^2+c$

填充Julia集是指,给定$c$,使得迭代序列$z_n=f(z_{n-1},c)$不发散于$\infty$的初始点$z_0$构成的集合,有理函数的填充Julia集边界为Julia集

广义Mandelbrot集是指,使得迭代序列从$z_0=0$开始的迭代序列$z_n=f(z_{n-1},c)$不发散于$\infty$的迭代常数$c$构成的集合

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