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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 C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C 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 C
And Z2 is Z1 squared plus C
And Z3 is Z2 squared plus C 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
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 C    And Z2 is Z1 squared plus C    And Z3 is Z2 squared plus C 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 C    And Z2 is Z1 squared plus C    And Z3 is Z2 squared plus C 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