Mandelbrot Set-Jonathan Coulton

[ti:Mandelbrot Set] [ar:Jonathan Coulton] [al:Where Tradition Meets Tomorrow] [by:] [offset:0] [00:00.38]Mandelbrot Set - Jonathan Coulton [00:00.56]Written by：Jonathan Coulton [00:01.81] [00:14.09]Pathological monsters cried the terrified mathematician [00:18.87] [00:19.63]Every one of them is a splinter in my eye [00:23.26] [00:25.51]I hate the peano space and the Koch curve [00:28.40]I fear the cantor ternary set [00:30.68] [00:31.62]The Sierpinski gasket makes me want to cry [00:35.04] [00:37.67]And a million miles away a butterfly flapped its wings [00:43.73]On a cold November day a man named benoit Mandelbrot was born [00:50.45] [00:55.82]His disdain for pure mathematics and his unique geometrical insights [01:00.98] [01:01.69]Left him well equipped to face those demons down [01:05.06] [01:07.53]He saw that infinite complexity could be described by simple rules [01:12.72] [01:13.66]He used his giant brain and he turned the game around [01:17.34] [01:19.65]And he looked below the storm and saw a vision in his head [01:25.51] [01:26.06]A bulbous pointy form [01:27.85] [01:28.70]He picked his pencil up and he wrote his secret down [01:33.85] [01:34.55]Just take a point called Z in the complex plane [01:37.79]Let Z1 be Z squared plus C [01:39.72] [01:40.94]And Z2 is Z1 squared plus C [01:42.68] [01:43.81]And Z3 is Z2 squared plus C and so on [01:46.80]If the series of Z's will always stay [01:50.12]Close to Z and never trend away [01:52.61]That point is in the Mandelbrot set [01:55.15]Mandelbrot set you're a Rorschach test on fire [01:59.02]You're a day-glo pterodactyl [02:01.04] [02:01.72]You're a heart-shaped box of springs and wire [02:04.67]You're one bad-a** f**king fractal [02:06.95] [02:07.49]And you're just in time to save the day [02:10.42] [02:10.93]Sweeping all our fears away [02:13.62]You can change the world in a tiny way [02:16.80] [02:23.08]Mandelbrot's in heaven at least he will be when he's dead [02:27.73] [02:28.47]Right now he's still alive and teaching math at Yale [02:32.30] [02:34.66]He gave us order out of chaos he gave us hope where there was none [02:39.70] [02:40.64]And his geometry succeeds where others fail [02:44.33] [02:46.79]If you ever lose your way a butterfly will flap its wings [02:52.65]From a million miles away a little miracle will come to take you home [02:59.18] [03:01.56]Just take a point called Z in the complex plane [03:04.84]Let Z1 be Z squared plus C [03:06.75] [03:07.87]And Z2 is Z1 squared plus C [03:09.74] [03:10.90]And Z3 is Z2 squared plus C and so on [03:13.70]If the series of Z's will always stay [03:16.36] [03:17.00]Close to Z and never trend away [03:19.57]That point is in the Mandelbrot set [03:22.14]Mandelbrot set you're a Rorschach test on fire [03:25.86]You're a day-glo pterodactyl [03:28.53]You're a heart-shaped box of springs and wire [03:31.57]You're one bad-a** f**king fractal [03:34.46]And you're just in time to save the day [03:37.34] [03:37.93]Sweeping all our fears away [03:40.68]You can change the world in a tiny way [03:43.94] [03:46.56]And you're just in time to save the day [03:49.42] [03:49.93]Sweeping all our fears away [03:52.71]You can change the world in a tiny way [03:55.58]Go on change the world in a tiny way [03:58.44]Come on change the world in a tiny way