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Amazing images - any chance of sharing the source? I'd love to fiddle
with it.
Jim
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Jim Henderson wrote:
> Amazing images - any chance of sharing the source? I'd love to fiddle
> with it.
Thanks! A slightly cleaned-up version of the source should be attached.
It's nice to have a scene which looks nice and is also ridiculously
simple. You'll want to render the scene (in particular reflections2)
with very high AA settings of course.
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Attachments:
Download 'us-ascii' (2 KB)
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On Fri, 03 Jun 2005 07:51:32 +0200, Stefan Viljoen
<sviljoen@<removethis>polard.com> wrote:
>Very very nice. Looks alien in a very biological sort of way.
Yeah, reminds me of the aliens from "The Abyss"...
Kyle
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Attachments:
Download '21.jpg' (7 KB)
Preview of image '21.jpg'
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Great - thanks!
Jim
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Kevin Wampler <wam### [at] cswashingtonedu> wrote:
> Just a couple of images obtained with a few reflective objects. JPG did
> some pretty bad blurring to the first one, but I don't know how to fix
> that without increasing the file size probably a bit too high.
>
> This ideas for these came from the book I'm reading "Indra's Pearls"
> which so far I would recommend. It gives a very accessible and pretty
> picture filled description of the symmetries of Kleinian groups. Sounds
> dry, but they make some dang nice fractals and are very elegant
> mathematically as well.
Thanks for the reference and the source code! I've been playing with
similar constructions (in the fractal contest from last year I placed
tangent spheres at the vertices of a cube:
http://astronomy.swin.edu.au/~pbourke/povray/povfrac/final/0002.html
and have since been working with other constructions.) But yours came out
way cooler, and with new variations I hadn't thought of. I'll have to get
the book. I have seen the name "Indra's Pearls" on some fractals scattered
throughout the internet, but wasn't aware of their construction.
Very nice!
Dave Matthews
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Dave Matthews wrote:
> Kevin Wampler <wam### [at] cswashingtonedu> wrote:
>
> and have since been working with other constructions.) But yours came out
> way cooler, and with new variations I hadn't thought of. I'll have to get
> the book. I have seen the name "Indra's Pearls" on some fractals scattered
> throughout the internet, but wasn't aware of their construction.
Nice image! I should note that neither of the images I posted is
actually the sort of think that would be generated by a Kleinian Group.
Intuitively they're similar, but the stuff covered in the book takes
place entirely in the complex plane, so rather than optical reflection
you have circle inversion for example. You can see pictures more like
those in the actual book at its web site:
http://klein.math.okstate.edu/IndrasPearls/
and also at:
http://klein.math.okstate.edu/kleinian/
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I've been experimenting with some Kleinian Groups in POV-Ray, and just
thought I'd share it here:
http://bugman123.com/Fractals/DoubleCusp-large.jpg
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"bugman" <nomail@nomail> wrote:
> I've been experimenting with some Kleinian Groups in POV-Ray, and just
> thought I'd share it here:
> http://bugman123.com/Fractals/DoubleCusp-large.jpg
Pretty! I like circular inversions. And who needs UltraFractal when we have
POV? :)
On a closely related note, do you happen to know how to do a 3D version of
Poincare's disk projection of hyperbolic space in POV? I know it can be
done, I once saw a hyperbolic tessellation using dodecahedra and I'm pretty
sure it was rendered using POV.
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By the way, here is some POV-Ray code for the double cusp group:
http://bugman123.com/Fractals/DoubleCusp.zip
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"PM 2Ring" <nomail@nomail> wrote:
> On a closely related note, do you happen to know how to do a 3D version of
> Poincare's disk projection of hyperbolic space in POV? I know it can be
> done, I once saw a hyperbolic tessellation using dodecahedra and I'm pretty
> sure it was rendered using POV.
I don't know if this is exactly what you had in mind, but it might be
helpful:
http://bugman123.com/Math/Poincare.zip
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