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Welcome to Fractal Forums > Fractal Art > Images Showcase (Rate My Fractal) > Anomalous Seahorse
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Author Topic: Anomalous Seahorse  (Read 1008 times)
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Pauldelbrot
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« on: September 22, 2013, 12:33:03 AM »
Anomalous Seahorse



http://www.fractalforums.com/index.php?action=gallery;sa=view;id=14897

The outside basin has been pinched and destabilized, and is period 8. Apologies for the uncharacteristically weak AA, but this would have been excruciatingly slow with much more than what I gave it.
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Kalles Fraktaler
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« Reply #1 on: September 22, 2013, 01:31:08 PM »
Awesome!  shocked

Would you mind to reveal the location?
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Nahee_Enterprises
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« Reply #2 on: September 22, 2013, 01:42:37 PM »
Quote from: Kalles Fraktaler on September 22, 2013, 01:31:08 PM
    Would you mind to reveal the location?

Though he did not give the exact coordinates, he did state that the outside basin is period 8, which is a good starting place.     cheesy
 
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cKleinhuis
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« Reply #3 on: September 22, 2013, 02:40:41 PM »
 amazing picture, that spiral almost looks straight  smiley but:
No, No, No... do not render with to few iterations cheesy
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Pauldelbrot
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pderbyshire2
« Reply #4 on: September 22, 2013, 05:31:51 PM »
Thanks. It's a Matchmaker 2 a-plane image -- f(z) = \frac{az^2 + bz}{z^2 + 2z + 1} with b = 0.01150841397 - 1.147268951i and z0 = a = determined by image pixel. Center of image is at a = -1.3111428799 + 0.30837995318i, side lengths around 0.024x0.018. All points go to finite attractors. The tan points go to a particular period-8 attractor (which is b-dependent) and the black points fail to do so after one billion iterations. The brightest points took over 10,000 iterations to reach the period-8 attractor, but under 1 billion. The dark, greenish points took only tens of iterations.
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cKleinhuis
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« Reply #5 on: September 22, 2013, 05:53:22 PM »
 Elvis Presley i see, at first it looked like just some iterations are missing wink
mention the formula type, the julia shapes are influenced by the 'a' parameter smiley
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Dinkydau
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« Reply #6 on: September 22, 2013, 05:54:10 PM »
Quote from: Nahee_Enterprises on September 22, 2013, 01:42:37 PM
Though he did not give the exact coordinates, he did state that the outside basin is period 8, which is a good starting place.     cheesy
 

So this is a puzzle? Lol
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