Mandelbrot Set-Jonathan Coulton
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[00:05.410]pathological monsters! cried the terrified mathematician
[00:12.430]every one of them is a splinter in my eye
[00:18.360]i hate the peano space and the koch curve
[00:21.210]i fear the cantor ternary set
[00:24.430]the sierpinski gasket makes me want to cry
[00:30.550]and a million miles away a butterfly flapped its wings
[00:36.790]on a cold november day a man named benoit mandelbrot was born
[00:54.850]his disdain for pure mathematics and his unique geometrical insights
[01:00.410]left him well equipped to face those demons down
[01:06.330]he saw that infinite complexity could be described by simple rules
[01:14.720]he used his giant brain and he turned the game around
[01:20.790]and he looked below the storm and saw a vision in his head
[01:26.890]a bulbous pointy form
[01:29.200]he picked his pencil up and he wrote his secret down
[01:39.260]just take a point called z in the complex plane
[01:42.510]
[01:47.050]
[01:49.430]and z3 is z2 squared plus c and so on
[01:52.720]if the series of z's will always stay
[01:55.550]close to z and never trend away
[01:58.580]that point is in the mandelbrot set
[02:01.100]mandelbrot set you're a rorschach test on fire
[02:04.890]you're a day-glo pterodactyl
[02:07.620]you're a heart-shaped box of springs and wire
[02:10.620]you're one bad-ass f**king fractal
[02:13.470]and you're just in time to save the day
[02:16.720]sweeping all our fears away
[02:19.730]you can change the world in a tiny way
[02:29.030]mandelbrot's in heaven, at least he will be when he's dead
[02:34.420]right now he's still alive and teaching math at yale
[02:40.600]he gave us order out of chaos, he gave us hope where there was none
[02:46.300]and his geometry succeeds where others fail
[02:52.720]if you ever lose your way, a butterfly will flap its wings
[02:58.390]from a million miles away, a little miracle will come to take you home
[03:07.690]just take a point called z in the complex plane
[03:10.810]
[03:13.660]
[03:16.640]
[03:19.820]if the series of z's will always stay
[03:22.450]close to z and never trend away
[03:25.550]that point is in the mandelbrot set
[03:28.050]mandelbrot set you're a rorschach test on fire
[03:31.760]you're a day-glo pterodactyl
[03:34.650]you're a heart-shaped box of springs and wire
[03:37.420]you're one bad-ass f**king fractal
[03:40.600]and you're just in time to save the day
[03:43.640]sweeping all our fears away
[03:46.700]you can change the world in a tiny way
[03:52.400]and you're just in time to save the day
[03:55.720]sweeping all our fears away
[03:58.820]you can change the world in a tiny way
[04:01.640]go on change the world in a tiny way
[04:04.340]come on change the world in a tiny way
[04:09.800]
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