Title: Anomalous Seahorse
Post by: Pauldelbrot on September 22, 2013, 12:33:03 AM
Anomalous Seahorse
(http://nocache-nocookies.digitalgott.com/gallery/14/511_22_09_13_12_33_03.jpeg)
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.
(http://nocache-nocookies.digitalgott.com/gallery/14/511_22_09_13_12_33_03.jpeg)
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.
Title: Re: Anomalous Seahorse
Post by: Kalles Fraktaler on September 22, 2013, 01:31:08 PM
Awesome! :o
Would you mind to reveal the location?
Would you mind to reveal the location?
Title: Re: Anomalous Seahorse
Post by: Nahee_Enterprises on September 22, 2013, 01:42:37 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. :D
Title: Re: Anomalous Seahorse
Post by: cKleinhuis on September 22, 2013, 02:40:41 PM
amazing picture, that spiral almost looks straight :) but:
:nono: do not render with to few iterations :D
:nono: do not render with to few iterations :D
Title: Re: Anomalous Seahorse
Post by: Pauldelbrot on September 22, 2013, 05:31:51 PM
Thanks. It's a Matchmaker 2 a-plane image --  = \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.
Title: Re: Anomalous Seahorse
Post by: cKleinhuis on September 22, 2013, 05:53:22 PM
:elvis: 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 :)
mention the formula type, the julia shapes are influenced by the 'a' parameter :)
Title: Re: Anomalous Seahorse
Post by: Dinkydau on September 22, 2013, 05:54:10 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. :D
So this is a puzzle? Lol