[00:09.77]Pathological monsters!
[00:11.91]cried the terrified mathematician.
[00:14.70]Every one of them is a splinter in my eye.
[00:20.17]I hate the Peano Space and the Koch Curve.
[00:22.96]I fear the Cantor Ternary Set.
[00:25.85]The Sierpinski Gasket makes me want to cry.
[00:31.99]And a million miles away a butterfly flapped its wings.
[00:37.01]On a cold November day a man named Benoit Mandelbrot was born.
[00:48.11]His disdain for pure mathematics and his unique geometrical insights.
[00:53.78]Left him well equipped to face those demons down.
[00:59.26]He saw that infinite complexity could be described by simple rules.
[01:04.48]He used his giant brain and he turned the game around.
[01:10.31]And he looked below the storm and saw a vision in his head.
[01:15.98]A bulbous pointy form.
[01:19.11]He picked his pencil up and he wrote his secret down.
[01:24.49]Take a point called Z in the complex plane.
[01:27.47]Let Z1 be Z squared plus C.
[01:30.16]And Z2 is Z1 squared plus C.
[01:32.95]And Z3 is Z2 squared plus C and so on.
[01:35.94]If the series of Z's will always stay.
[01:38.92]Close to Z and never trend away.
[01:41.51]That point is in the Mandelbrot Set.
[01:43.70]Mandelbrot Set you're a Rorschach Test on fire.
[01:47.08]You're a day-glo pterodactyl.
[01:49.92]You're a heart-shaped box of springs and wire.
[01:52.66]You're one bad-ass fucking fractal.
[01:55.34]And you're just in time to save the day.
[01:58.33]Sweeping all our fears away.
[02:00.87]You can change the world in a tiny way.
[02:09.63]Mandelbrot's in heaven,
[02:20.57]order out of chaos, he gave us hope where there was none.
[02:25.81]And his geometry succeeds where others fail.
[02:31.48]If you ever lose your way, a butterfly will flap its wings.
[02:37.21]From a million miles away, a little miracle will come to take you home.
[02:45.77]Just take a point called Z in the complex plane.
[02:49.60]Let Z1 be Z squared plus C.
[02:51.49]And Z2 is Z1 squared plus C.
[02:54.08]And Z3 is Z2 squared plus C and so on.
[02:56.81]If the series of Z's will always stay.
[03:00.10]Close to Z and never trend away.
[03:02.74]That point is in the Mandelbrot Set.
[03:04.98]Mandelbrot Set you're a Rorschach Test on fire.
[03:07.91]You're a day-glo pterodactyl.
[03:11.05]You're a heart-shaped box of springs and wire.
[03:13.73]You're one bad-ass fucking fractal.
[03:19.56]Sweeping all our fears away.
[03:22.24]You can change the world in a tiny way.
[03:27.47]And you're just in time to save the day.
[03:30.61]Sweeping all our fears away.
[03:33.29]You can change the world in a tiny way.
[03:35.58]Go on change the world in a tiny way.
[03:38.17]Go on change the world in a tiny way.
[03:45.48]