Mandelbrot Set

Fatou and Julia

Benoit Mandelbrot

M-Set How?

Complex Numbers

Imaginary Numbers


M-Set Algorithm

Julia Sets

J-Set Algorithm

Part III






































Copyright (c)

Lori Gardi



Part I

Part II

Part III

Part IV






































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So, a complex number is an imaginary number together with a real number. It can be written as:

imaginary , real or (i , r) or
imaginary + real or (i + r).

Put simply, the Mandelbrot Set image is generated by iterating points from the complex plane (the set of all complex numbers), through the function z = z2 + c.

Each time a point is put into the equation, another point comes out. This ITERATION process produces a sequence of “points” that either escape to infinity (as happens with the points on the OUTSIDE of the Mandelbrot Set), or they get “trapped” in black region, in which case they are said to be INSIDE the Mandelbrot Set.