Pathological monsters! cried the terrified mathematician
Every one of them is a splinter in my eye
I hate the Peano Space and the Koch Curve

I fear the Cantor Ternary Set
The Sierpinski Gasket makes me want to cry
And a million miles away a butterfly flapped its wings

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
He used his giant brain and he turned the game around

And he looked below the storm and saw a vision in his head
A bulbous pointy form
He picked his pencil up and he wrote his secret down


Just Take a point called Z in the complex plane
Let Z1 be Z squared plus C

And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C and so on
If the series of Z's will always stay

Close to Z and never trend away
That point is in the Mandelbrot Set


Mandelbrot Set you're a Rorschach Test on fire
You're a day-glo pterodactyl
You're a heart-shaped box of springs and wire

You're one bad-ass $#&@ing fractal
And you're just in time to save the day
Sweeping all our fears away

You can change the world in a tiny way

Mandelbrot's in heaven, at least he will be when he's dead

Right now he's still alive and teaching math at Yale
He gave us order out of chaos, he gave us hope where there was none
And his geometry succeeds where others fail

If you ever lose your way, a butterfly will flap its wings
From a million miles away, a little miracle will come to take you home


Just take a point called Z in the complex plane
Let Z1 be Z squared plus C
And Z2 is Z1 squared plus C

And Z3 is Z2 squared plus C and so on
If the series of Z's will always stay
Close to Z and never trend away

That point is in the Mandelbrot Set

Mandelbrot Set you're a Rorschach Test on fire

You're a day-glo pterodactyl
You're a heart-shaped box of springs and wire
You're one bad-ass $#&@ing fractal

And you're just in time to save the day
Sweeping all our fears away
You can change the world in a tiny way


And you're just in time to save the day
Sweeping all our fears away

You can change the world in a tiny way
Go on change the world in a tiny way
Come on change the world in a tiny way