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I guess this is a good time to plug XaoS a multiplatform real-time fractal viewer: http://wmi.math.u-szeged.hu/xaos/doku.php

Recently it was ported to iOS which is pretty cool..so it really runs on about anything: https://itunes.apple.com/us/app/xaos/id576120234?mt=8

I've had tons of fun with it. You can enter your own formulas as well as change coloring, do automatic rotation/color cycling for a trippy effect, and a ton more of exploration. Explore all the fractals! :-)

When I see a GPLv2 app in the app store that is non-free, how do I know that the proceeds are properly going to the XaoS project?
GPLv2 says nothing about proceeds from commercial profits. All it requires is for requests for the source code to be honored.
Strangely enough, I feel like this would be more impressive if it rendered more slowly. Does anybody else remember waiting several minutes for a fractal to render? These days, it's so easy to forget how amazing it really is.
You might enjoy this JavaScript turtle graphics renderer I built. It has a few sample fractals and everything renders incrementally. http://obadger.com/turtle/
Depends on the fractal. I occasionally make HD animations (using Ultra Fractal), and those run about 1 hour PER FRAME. A short clip takes several months, just to render. (search for jockc on youtube if interested)
We also make some software that evaluates fractals in a statistical way using iterated function systems (IFS): http://chaoticafractals.com/

Check out the gallery here: http://chaoticafractals.com/node/114

Gentoo Linux:

./chaotica --help ⏎ Chaotica v1.0.2 (c) 2013 Glare Technologies Ltd. http://chaoticafractals.com / support@glaretechnologies.com

Cannot mix incompatible Qt library (version 0x40805) with this library (version 0x40804) [1] 11491 abort ./chaotica --help

/me sings "An other one bites the dust"

Fatal error: Out of memory (allocated 6029312) (tried to allocate 122880 bytes) in /home/facebutt/public_html/blog/wp-includes/query.php on line 2030

blog.sciencevsmagic.net went down at 10:16 UTC because of HN DDOS, with only 18 points (1800 visitors estimated so far)

A webGL version - even using JS to make lines, and just using gl.LINES for the plotting - would be much more responsive. For extra points though, put the rendering inside a GLSL fragment shader!
Somehow, as soon as graphics are involved, things that are essentially "hello, world!" kinds of projects routinely make it to the front page of HN. This is neat, specially for someone's 2nd programming project, but is it HN material? I think not.
As an aside, his blog seems to be affected by a serious amount of pingback spam. He might want to use some filtering on pingbacks.
Nice graphics, but this creates some problems with the back button. In IE10 the back history is transformed into an infinite list of "Fractal Machine" links (specially using animate). In Chrome pressing the back button does nothing (the icon spins, but the page never changes.)