Mandelbrot set

Mandelbrot set

The Mandelbrot set (/ˈmændəlbrɒt/) is the set of complex numbers c{\displaystyle c} for which the function fc(z)=z2+c{\displaystyle f_{c}(z)=z^{2}+c} does not diverge when iterated from z=0{\displaystyle z=0}, i.e., for which the sequence , fc(fc(0)){\displaystyle f_{c}(f_{c}(0))}, etc.

fractals mandelbrot set mathematics

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