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Fractal Maniac - Aug 28, 2008 1:12 am - Hasn't voted

It's called a Manowar, which is a variation on the Julia sets:
http://www.futuremind.ch/millenniumfractal/documentation/Manowar.html
http://www.futuremind.ch/millenniumfractal/documentation/ManowarJulia.html

Notice how the first is very symmetrical and the second very asymmetrical. I used a seed point of (0.01, 0.01i) so the outside is symmetrical yet it transitions to asymmetry in the center.