Pattern

I quite like this. It also seems to me that he's vaguely based off of some sort of Mandelbrot - instead of z_n+1 = z_n^2 + c, you could replace the ^2 with ^x and slowly iterate it forward to get Pattern's transformation or something.

It might be worth looking into to see if Pattern's "number" can be determined this way. I swear I've seen a function that looks exactly like Pattern's super-spiraley self.

I quite like this. It also seems to me that he's vaguely based off of some sort of Mandelbrot - instead of z_n+1 = z_n^2 + c, you could replace the ^2 with ^x and slowly iterate it forward to get Pattern's transformation or something.

 

It might be worth looking into to see if Pattern's "number" can be determined this way. I swear I've seen a function that looks exactly like Pattern's super-spiraley self.

+1 that.

But I'd rather bet on some Julia set (it's connected to Mandelbrot).

Or one of those things you get after zooming far into Mandelbrot (normal, pow=2; example: