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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

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

Lyrics submitted by neko-chan

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0General Comment:hey, does ne1 know where i could find a tab for this song???on May 09, 2008Link0General Comment:funny thing that JoCo hapens to know about his own song, that if you ask a mathematician/physisist the song does explain a set, just not the Mandelbrot Seton November 04, 2008Link0on December 11, 2008+1Take a point called C in the complex plane

Let Z1 be C 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 zero and never trends away

That point is in the Mandelbrot Set

That isn't the traditional way of defining the set, but it's equivalent. It obviates the need to mention that Z starts at zero. It also offsets the usual subscript values by one, but since it's the end result of an infinite series that matters, which subscript is which is irrelevant. The meter scheme of JoCo's song is preserved.

on April 21, 2009