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Fractal Art => Images Showcase (Rate My Fractal) => Topic started by: Pauldelbrot on January 25, 2012, 08:42:44 PM




Title: A Seahorse Odyssey XV
Post by: Pauldelbrot on January 25, 2012, 08:42:44 PM
A Seahorse Odyssey XV

(http://nocache-nocookies.digitalgott.com/gallery/10/511_25_01_12_8_42_43.jpeg)

http://www.fractalforums.com/index.php?action=gallery;sa=view;id=10077

A narrow bridge connects two spirals at the heart of the vortex.


Title: Re: A Seahorse Odyssey XV
Post by: cKleinhuis on January 25, 2012, 10:09:29 PM
cool image, is this plain z^2+c ?


Title: Re: A Seahorse Odyssey XV
Post by: Pauldelbrot on January 26, 2012, 02:10:07 AM
cool image,

Thanks.

Quote
is this plain z^2+c ?

I wouldn't call it "plain", but yes, it's a standard Mandelbrot image. Center real is

-1.76845546888522158456921638381540350950939929625009373104290343683913024849725757592506095145815387974039485363273039
606912055906247338271069404862512531231545468945515729727030510445753305

and center imaginary is

0.001981705794935468985289373790545402531063853144119459282873482523659439814777439231287267824354443565523883262826974 12373625670934354222851111806643148448793142972155154744872441376655884525

which is inside an extremely tiny vendekobrot. The center of the bridge contains a microbrot that's bigger than the vendekobrot by more orders of magnitude than the observable universe is bigger than a bit of Planck foam. The vendekobrot is off the tip of a filament near the microbrot's nose, surrounded by an assortment of twisted shapes embedded in a foam of seahorses. Even "vendeko" isn't quite the right prefix for it. But it's a tiny-size prefix, much smaller than "pico" or "femto", and as far as I'm aware nobody has a proper unit-prefix to represent a relative scale of 10-166...


Title: Re: A Seahorse Odyssey XV
Post by: cKleinhuis on January 26, 2012, 11:02:11 AM
always amazing that you find interesting new shapes and structures in the "plain" set, this object may hold even more interesting stuff at those scales,really a cool object! how long does it take to render at those scales ?


Title: Re: A Seahorse Odyssey XV
Post by: Pauldelbrot on January 26, 2012, 01:12:59 PM
That image took perhaps a day. At the leading edge of the sequence they're taking around three. But I'm rendering them at 12000x9000. Which means the images in the gallery are effectively 10x10 nonadaptive antialiased -- very good quality, as I'm sure you've noticed (very little noise and no moire even in the seahorse centers).

The deeper depths will take much longer, but I hope to have upgraded hardware (four to five times faster!) by then. I'll also be able to use the existing hardware to render some things.