https://wiki.jonathancoulton.com/api.php?action=feedcontributions&user=RyanLortie&feedformat=atomJoCopedia - User contributions [en]2021-07-30T02:57:40ZUser contributionsMediaWiki 1.34.4https://wiki.jonathancoulton.com/index.php?title=Mandelbrot_Set/Lyrics&diff=27977Mandelbrot Set/Lyrics2014-03-24T15:34:46Z<p>RyanLortie: (implicitly: z₀ = z) | z₁ = z₍₀₎² + z | z₂ = z₁² + z | z₃ = z₂² + z (and so on...) is a perfectly valid way to describe the iteration and "z" and "c" sound the same</p>
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<div>{{SongNav}}<br />
<lyrics><br />
Pathological monsters! cried the terrified mathematician<br />
Every one of them a splinter in my eye<br />
I hate the Peano Space and the Koch Curve<br />
I fear the Cantor Ternary Set<br />
The Sierpinski Gasket makes me wanna cry<br />
And a million miles away a butterfly flapped its wings<br />
On a cold November day a man named Benoit Mandelbrot was born<br />
<br />
His disdain for pure mathematics and his unique geometrical insights<br />
Left him well equipped to face those demons down<br />
He saw that infinite complexity could be described by simple rules<br />
Used his giant brain and he turned the game around<br />
And he looked below the storm<br />
Saw a vision in his head<br />
A bulbous pointy form<br />
Picked his pencil up and he wrote his secret down<br />
<br />
Just take a point called Z in the complex plane (Alternate: Take a point called C...)<br />
Let Z1 be Z squared plus C (Alternate: Let Z1 be zero squared...) (or: ...plus Z)<br />
And Z2 is Z1 squared plus C (or: ...plus Z)<br />
And Z3 is Z2 squared plus C (or: ...plus Z) and so on<br />
If the series of Zs should always stay<br />
Close to Z and never trend away<br />
That point is in the Mandelbrot Set<br />
<br />
Mandelbrot Set, you're a Rorschach Test on fire<br />
You're a day-glo pterodactyl<br />
You're a heart-shaped box of springs and wire<br />
You're one badass fucking fractal<br />
And you're just in time to save the day<br />
Sweeping all our fears away<br />
You can change the world in a tiny way<br />
<br />
Mandelbrot's in heaven, at least he will be when he's dead<br />
Right now he's still alive and teaching math at Yale<br />
He gave us order out of chaos, he gave us hope where there was none<br />
His geometry succeeds where others fail<br />
So if you ever lose your way, a butterfly will flap its wings<br />
From a million miles away, a little miracle will come to take you home<br />
<br />
Just take a point called Z in the complex plane (Alternate: Take a point called C...)<br />
Let Z1 be Z squared plus C (Alternate: Let Z1 be zero squared...)<br />
And Z2 is Z1 squared plus C<br />
And Z3 is Z2 squared plus C and so on<br />
If the series of Zs will always stay<br />
Close to Z instead of trend away<br />
That point is in the Mandelbrot Set<br />
<br />
Mandelbrot Set, you're a Rorschach Test on fire<br />
You're a day-glo pterodactyl<br />
You're a heart-shaped box of springs and wire<br />
You're one badass fucking fractal<br />
And you're just in time to save the day<br />
Sweeping all our fears away<br />
You can change the world in a tiny way<br />
And you're just in time to save the day<br />
Sweeping all our fears away<br />
You can change the world in a tiny way<br />
Go on, change the world in a tiny way<br />
Come on, change the world in a tiny way<br />
</lyrics><br />
<br />
== Notes ==<br />
Since the death of Benoit Mandelbrot in October 2010, Jonathan has omitted the lines, "at least he will be when he's dead / right now he's still alive and teaching math at Yale," in live performances.</div>RyanLortie