Jonathan Coulton: Mandelbrot Set

On a cold November day a man named Benoit Mandelbrot was born

His disdain for pure mathematics and his unique geometrical insights
Left him well equipped to face those demons down
He saw that infinite complexity could be described by simple rules
Used his giant brain and he turned the game around
And he looked below the storm
Saw a vision in his head
A bulbous pointy form
Picked his pencil up and he wrote his secret down

Just take a point called Z in the complex plane (Alternate: Take a point called C...)
Let Z1 be Z squared plus C (Alternate: Let Z1 be zero squared...)
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Zs should always stay
Close to Z and never trend away
That point is in the Mandelbrot Set

(Opravdu je to jen úryvek, píseň je delší.)