Well, someone else has emailed me to point out a flaw in the Mandelbrot lyrics. For those of you using my song to write programs that generate the Mandelbrot Set, I urge you to consult another source for clarification. Here’s the problem:
I say, “Take a point called Z in the complex plane, let Z1 be Z^2 plus C…” What I really mean is, “Take a point called C in the complex plane (and by the way, set Z=0), let Z1 be Z^2 plus C…” Otherwise, when you look at my lyrics, what the hell is C supposed to be? Well, I guess it’s supposed to be Z. Or something. Anyway, you can kind of get there my way, or at least, if you know what the actual algorithm really is, you will still recognize a vague outline of it in my lyrics. And perhaps you will laugh.
All of this makes me think of the one guy who really needs to hear this song and tell me what I’ve done wrong, Dr. Professor M himself. I’ve always wanted for him to hear it, but I fear his corrections. Which is why I just emailed him the mp3. Hopefully he will not be offended by the line in which I joke that he is not dead (yet). Or by the above-described mathematical shortcomings. Or by the “too-much-rocking” that I put in there.
Yeah, I must say you've got some pretty serious pseudomath in that song, but it's still cool.
You could almost mishear it to be absolutely correct. "Take a point called C in the complex plane, let z1 be zero squared plus c. Let z2 be z1 squared plus c and so on"
See, that's only two syllables changed. C sounds like Z anyway and z is the starting sound of zero.
Mandelbrot has â€˜câ€™ as in â€˜seeâ€™ as in â€˜trust your eyesâ€™. C4UR=Self.
Dude, you just blew my mind. That's what I'm talking about - truth through aesthetics. Sometimes you just have to eyeball it. More here: http://www.edge.org/3rd_culture/mandelbrot04/mandelbrot04_index.html
But what the hell is the MLC Conjecture?
The MLC Conjecture is the belief that the Mandelbrot set is locally connected. Now what that means, I don't know, but the conjecture has yet to be proved.
Mathematical puzzles to please the eye