Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals.
Paul said:
Interesting final image. Thanks! And I thank Sciwise, too -- for the formula -- and a chance to get back to calculating fractals.
If you decide to do further explorations, please share the results with us. Sure. See below.
It was only after I had done the Evolver exploration that I noticed that the parameters I was evolving were the initial conditions. It appears from the Evolver images (that I put links up for before) that these equations are not dramatically sensitive to initial conditions... ...with the exception that the formula doesn't like initial conditions of real or imaginary values of *exactly* zero or one. I used 0.0001 and 0.9999 when I was evolving. I'm doing further evolving on the *parent* of Sciwise's Volterra-Lotka fractal as I type this -- it looks like there may be a bit more action with the parent... I forgot to mention that I did a small amount of vertical stretching of the images in my previous post, and used one of the recommended coloring methods, zmag. I should also try bof60 coloring, too -- but it seems to me that the coloring method wouldn't likely be too important for all the "confetti" areas... This is the default *Fractint* Volterra-Lotka fractal (a very fast fractal) with the Leather Gem color map: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtkF0.gif Again, be sure to not let your browser resample the images -- just click them once if they've been resized to fit. This is *Sciwise's* Volterra-Lotka parent fractal: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk12.gif and the parent again, stretched *only* vertically (by a factor of about 10) : http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif My fractals in my previous post were zoomed into the center of Sciwise's parent Volterra-Lotka fractal. - Hal Lane ######################## # hallane@earthlink.net ######################## -----Original Message----- From: Fractint [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Paul N. Lee Sent: Monday, November 9, 2015 3:11 PM To: fractint@mailman.xmission.com Subject: Re: [Fractint] Sciwise got me interested in his Volterra-Lotka fractals. Hal Lane wrote:
...found some variation as a function of the two parameters. I then: - selected a thumbnail image in the Evolver, - exited the Evolver, - set Single Pass, and - raised maxiter from 512 to 2048 (I think it was), and got this image: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk11.gif
Interesting final image. Could be some possibilities on what one may produce with this. If you decide to do further explorations, please share the results with us. ;-) Sincerely, P.N.L. _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint --- This email has been checked for viruses by Avast antivirus software. https://www.avast.com/antivirus
Hal Lane wrote:
This is the default *Fractint* Volterra- Lotka fractal (a very fast fractal) with the Leather Gem color map: http://www.emarketingiseasy.com/TESTS/Fractals/VltLtkF0.gif
I like this one as well. The "rainbow" of colors really makes this stand out. :-)
...and the parent again, stretched *only* vertically (by a factor of about 10): http://www.emarketingiseasy.com/TESTS/Fractals/VltLtk13.gif
The stretching is much more interesting than the unstretched parent version. Sincerely, P.N.L.
participants (2)
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Hal Lane -
Paul N. Lee