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A Julia set of the discrete Volterra-Lotka map-family found in The Beauty of Fractals. Aggressive antialiasing but no ergodic or limit circle attractor so not too slow. This is from the VL equivalent of a minibrot: one of the long, narrow "horns" that protrude from the bulk of the Mandelbrot, tapering off exponentially as it goes. The horn comes from a component of period 11. In the body of that component the Julia sets look more like Vortex (http://www.fractalforums.com/images-showcase-(rate-my-fractal)/vortex/), though with 11 rather than 7 "petals" to the interior basin. Move along the horn until it exits the body of the M-set, though, and the Julia set will shatter into these X-shaped basin fragments, boiling with bubbles of divergent points and becoming the foamy froth seen here.

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Detailed statistics:

Name: Stirred
Date: January 7, 2010
Fractal: Discrete Volterra-Lotka Julia Set
Location: h = 1.00794139719, p = 1.11720348082
Depth: Very Shallow
Min Iterations: 1
Max Iterations: 9998
Layers: 2
Anti-aliasing: 3x3, threshold 0.0, depth 2
Preparation time: 5 minutes
Calculation time: 18 minutes (2.5GHz dual-core E5200)

Getting mnoree interesting, shapewise :)
Can't wait for some nice deep zooms :) - I guess, going for equivalents of the Mset will keep getting interesting :)

There's already one posted, at this link (http://www.fractalforums.com/images-showcase-%28rate-my-fractal%29/launch/), with more forthcoming...eventually.

ah, not what I mean. I meant "searching for equivalents of Mset-structures and then choosing similar paths as in the Mset to get to similarly interesting results" ;)

I have used the M-set to pick some of the Julia sets actually.

Oh? Nice :)