"Hughes, B." <omn### [at] charternet> wrote:
> I can see how this one could be considered an L System, branching
> repetitively. Much more like a lifeform, not simply organic. Had this been
> globbed together (rounded edges) it'd be a terrific alien sea creature!
>
> Thanks for explaining the other is (partially?) quaternion, somehow I missed
> that fact. Trouble is, I know enough about that stuff to half-fill a
> thimble... if even that. Hopefully you realized I was mentioning the POV-Ray
> julia_fractal object and not any 2D plotted variety.
> --
> Bob H.
> http://www.3digitaleyes.com

Bob,

I apologize for misunderstanding your reference to "Julia_fractal"  I wasn't
aware of the "Julia_fractal" type in POV, but that still isn't quite what I
posted.  Complexified quaternion algebra is a different form of quad
algebra than what POV and Fractint use, something I devised for more
intricate 3-D fractal imaging; and there was a mix of two formulas that
produced the kingfisher image: q=q^2+c and q=q+q^3/c+c.  These are only a
couple of the 181 quad formulas that QuaSZ supports (plus user-defined
formulas).  The spikes in the figure are atypical of any quaternion figure
generated from the purely quaternion formulas q=q^2+c or q=q^3+c, which are
included in the POV Julia function.

I attach another quad image, this one generated with a cubic Mandelbrot
formula.  QuaSZ supports four types of quad algebra, plus octonion algebra
too!

Regards,

Terry
--
www.mysticfractal.com
www.referencesystemk.com

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