Anomalous Seahorse

[Pauldelbrot]

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.

[Kalles Fraktaler]

Awesome! 

Would you mind to reveal the location?

[Nahee_Enterprises]

    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.     
 

[cKleinhuis]

 amazing picture, that spiral almost looks straight  but:
do not render with to few iterations

[Pauldelbrot]

Thanks. It's a Matchmaker 2 a-plane image -- 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.

[cKleinhuis]

  i see, at first it looked like just some iterations are missing
mention the formula type, the julia shapes are influenced by the 'a' parameter

[Dinkydau]

Though he did not give the exact coordinates, he did state that the outside basin is period 8, which is a good starting place.    
 

So this is a puzzle? Lol