I've written before about fumbling around with the Mandelbrot set.

When I first read about the Mandelbrot set, I had this feeling that I was a lucky guy. Something like this: What right do I have to know something so beautiful? How many of my ancestors died before computers (and before Mandelbrot), and so never had the chance to appreciate it? All but six. Of course, you can apply that logic in reverse... maybe I'll have just as many descendants who DO get to see it.
A couple of weeks ago, just before Mandelbrot died, I got that same feeling again watching this video of the very recently discovered Mandelbox.

It’s a 3-d relation of the Mandelbrot set, in that an iterative process rules points in or out of a set, and it’s the set that’s rendered. Unlike other 3-d Mandelbrotians (such as the Mandelbulb), though, it has a richness that draws me inwards even more than renderings of the Mandelbrot set.
Plus, if you save the music from only one hypnotic fractal video this year, make it Dajuin Yao’s “Satisfaction of Oscillation”.