Mandelbrot Set

Jonathan CoultonJonathan Coulton 

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Jonathan Coulton

Jonathan Coulton (born December 1, 1970) is an American singer-songwriter, known for his songs about geek culture and his use of the Internet to draw fans. Among his most popular songs are "Code Monkey", "Re: Your Brains", "Still Alive" (from Portal) and "Want You Gone" (from Portal 2). more »

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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 And 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 to turn 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 

Take a point called Z in the complex plane 
Let Z1 be Z squared plus see 
And Z2 is Z1 squared plus see 
And Z3 is Z2 squared plus see and so on 
If the series of Z's should 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 badass fucking 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 see 
And Z2 is Z1 squared plus see 
And Z3 is Z2 squared plus see and so on 
If the series of Z's should 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 badass fucking 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

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