Disclaimer: I am a software engineer, not a
mathematician. The more mathematically minded may find the insights I can
offer lacking. Rather than make my articles more mathematically dense by
quoting Wikipedia articles that I don't really understand, I invite interested
readers to explore complex dynamics more fully themselves.

What Is a Fractal?The Five Minute Guide to Complex Numbers

The Five Minute Guide to Calculus

Julia Sets and The Mandelbrot Set

Mandelbrot and Julia Sets Using Other Powers of z

Rational Maps

Variations on the Mandelbrot Set Formula

Newton's Method

Newtonian Fractals

Image Quality

Custom Palettes

Algorithms