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posted Jan 26, 2012, 8:16 PM by Ellie Kesselman   [ updated Feb 8, 2012, 3:17 AM ]
The clue is in the tags, though quaternions seemed likely: fractals and julia series.  Image piXelero of Finland, on Flickr.
fractal #03B serie 110209 


 z[next] = (z+2.8i)(z-0.24-0.88i)/(z-0.24+4i)/(z+1.04+0.2i) +(0.166-0.4i)

While on the subject of spectacular visuals, here's one that is NOT static. In fact, it could be the very opposite of such.  It uses WebGL. Surprise.  Modern browsers only, please!

Details follow.

Barry Martin's Hopalong Orbits Visualizer

All these complex orbits are generated iterating a generalization of this incredibly simple algorithm:

(x, y) -> (y - sign(x)*sqrt(abs(b*x - c)), a -x )

where a, b, c are random parameters. This is known as the 'Hopalong Attractor'.  3D rendering is done using WebGL and three.js