Mandelbrot Set

"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 wanna cry
 And a million miles away
 A butterfly flapped its wings
 On a cold November day
 A man named Benoit Mandelbrot was born
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 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
 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
 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 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
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 Mandelbrot's in heaven
 At least he will be when he's dead
 Right now he's still alive and teaching math at Yale
 Gave us order out of chaos
 He gave us hope where there was none
 His geometry succeeds where other 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