"Hughes, B." <omn### [at] charternet> wrote:
> "Terry" <nomail@nomail> wrote in message
> news:web.4095a3fc704870e33003020f0@news.povray.org...
> > This is a sample of a new feature I've added to QuaSZ: POV export format.
> A
> > simple POV v3.5 scene is shown with a "triangle" object in the foreground
> > composed of over one million triangles!  The pointy figure is a Julia set
> > --
> > www.mysticfractal.com
>
> Would like to both touch that and not touch, all at the same time. Like a
> pretty cactus.
> :-)
> Amazing to me that this isn't a julia_fractal and is made of triangles
> instead. If not told how it was made I'd have never known the difference.
>
> Not my usual area of interest but certainly interesting.
>
> Bob H.

Bob,

Oh I think there is a definite difference between quaternions and
Julia-fractals.  That's like comparing a flat circle of paper to a glass
sphere.  2-D Julia fractals as they're usually drawn don't have shadows or
planes of rotation like ray-traced quaternions, -- unless you layer a
series of them together in Paint Shop Pro and add a drop shadow.  I attach
here another example of a triangle object, definitely not a Julia set, but
created with another of my programs Fractal Zplot, using the POV export
technique.  An lsystem is the correct term for this one.  Enjoy!

Regards,

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

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"Terry" <nomail@nomail> wrote in message
news:web.4098764a97326c403003020f0@news.povray.org...

  > Enjoy!

   I did. Nice!

   ~Steve~



>
> Regards,
>
> Terry
> --
> www.mysticfractal.com
> www.referencesystemk.com
>
>
>
>


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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

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"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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