| [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] |
|
