From http://www.ima.umn.edu/~arnold/moebius:

"Möbius Transformations Revealed was built primarily using POV-Ray and Mathematica. The soundtrack (from Schumann's Kinderscenen, Op. 15, I) is performed by Donald Betts and distributed by Musopen."

You can find this recording here:

http://www.musopen.com/view.php?type=composer&id=35

Thanks for sharing Norm. Wish I could create such beautiful animations.

Tweety.

Norm, I hope you don’t hate me for this but… I have a belly full of South African wine and I’m checking your site and…

Love this post. Hate this post. The link title of the video especially appeals to me. “It's worth a million.” And then there's the grey text: "according to certain rules."

I wish that they would have shown me this in High School geometry, calculus, trigonometry, or algebra. Maybe then there would have been some interest. Unfortunately, it's (30 years) too late. I dislike math. I dislike numbers. And now computers, two numbered machines, really, dance for us. And?

Here's a (drunken) wrench in my motor, for you. Does anyone think abstractly about how Bush really got elected? Wasn't it ultimately a math game? How silly I felt when I heard that Gore won by such-n-such a number in 2000. Yeah, numbers dance and preclude the next sip of my Cistercian schnapps. Can you put that to music and graphics as well – like Gore did? Why aren’t we swimming and twisting just like this video? Oh no, that would be over-kill – and it might take something away from f'n university professors.

Put your graphical numbers to music as much as you want. It fits well with the lie we live. Like pop-music. Isn’t that what numbers ultimately do - according to certain rules – become so popular that you can use them on Hiroshima in order to make an impression on Soviet Russians?

I have nothing against mathematicians and the like. Numbers have a place. But what's the point of thinking or pretending that numbers are magical, poetic and, as the music so frivolously tries to impose, emotional? Numbers, mathematics, are a big problem in the world we share. A little less math - like the mathematical formulas used to extrapolate values that determine the fictional price of oil - might be a good thing… Or? But what do I know about math. I can’t dance. Gulp. Gulp.

You know, it probably took me twenty years to really understand Einstein's special relativity theory. Mathematically, I’m still a dunce to it. But abstractly, it’s nothing more than taking Time away from those who think Time is/was a constant. Where’s the math in that? Whoopee. -tgs-

yeah, you're drunk.

I nominate Tommi's post for the "Best OGM Post of 2007" award.

what brand of wine is that, specifically? hook me up with WHATEVER sauce you're on. loved it.

It depresses me that some shallowly disregard the universal language that most purely explores human intellect and creativity. Keep it up Norm.

I love to wallow in the cesspit of american politics as much as the next man, but more than that I love this site for your inclusion of some of the finer points. This clip is a certain classic and a refreshing reminder that life is not all self important navel gazing.

Though Tommi has point about the rule of numbers in there somewhere :) but we had better check back when he is sober.

Jesse