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Quaternion Julia Set Fractals - Fine Art Fractals

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June 5th, 2008

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05:18 pm - Quaternion Julia Set Fractals

Here are some quaternion Julia set fractals I've been working on.

Julia sets are similar to Mandelbrot sets. Quaternion Julia sets are similar to complex Julia sets, except that they're four-dimensional. I put a more complete explanation over at my blog ( http://www.egregium.us/quaternion-julia-set-fractals/ ). If you scroll down, there is a video too.

If anybody is interested in prints, I put some high quality (445 dpi, canvas) prints on etsy. Hope you like these (click to enlarge):

(3 comments | Leave a comment)


[User Picture]
Date:June 5th, 2008 11:27 pm (UTC)
Are these rendered as implicit surfaces, or was the geometry exported to an external renderer? I ask because I have always wanted to render a Julia set with true radiosity renderer, but that normally requires explicit geometry.
Date:June 6th, 2008 09:53 pm (UTC)
I wrote my own c++ code to do this using a ray-tracing-like technique, so I suppose it would be like an implicit surface. I'm not sure that Julia sets can be described explicitly.
[User Picture]
Date:June 6th, 2008 10:05 pm (UTC)
Nice! No, a true Julia set can't be described explicitly, but if resolution is limited by some regularization, an explicit surface can be defined.

If your code can find ray-set intersections, and intersection-light tests, then it is only a matter of CPU cycles to add a partial-radiosity solution. You should totally try it. For each primary intersection, shoot 8-800 rays out in a hemisphere. Find those intersection points, then see if each of those can see a light source. Sorry if you knew this already.

An advantage of a trimesh is that I can do all sorts of flowy/melty things with it using my codes.

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