[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 ****ing 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 ****ing 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]