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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 visiĆ³n 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 *** 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