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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Complex Numbers

Complex Numbers

A complex “number” is not so much a number as it is a “point”. It is a point that “lives” on the 2D complex plane (as opposed to a real “number” which lives on the 1 dimensional real number line).

There are two components to the complex plane; a real component represented by the real numbers (and we all know what a real number is right?) and an imaginary component represented by the imaginary numbers (and I’m pretty sure that many of you DON’T know what an imaginary number is, so I will explain this as best as I can).