For examining the fundamental calculation of the Mandelbrot and Julia Sets.[br][br]The Mandelbrot set is the set of values C for which the function [br]f(z)=z^2+C converges when iterated starting at z=0.[br]a_0=0, a_1=f(0)=C, a_2=f(C)=C^2+C... a_n+1=f(a_n)[br][br]The Julia set, which can be defined for a broad class of complex functions,[br]has a related idea: keep C constant, a make a set based on the behavior of[br]iterations of a_0=z for different z in the complex plane.[br][br]This sketch shows you 22 iterations of a_0 = A, and f(z)=z^2 + C, where we[br]think of points (a,b) as representing the complex number a+bi.

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