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TorusFn-001 by ~casteeld:iconcasteeld:

Categories Digital Art > Fractal Art

©2006-2009 ~casteeld
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Submitted: November 6, 2006
Image Size: 16.2 KB
Resolution: 385×401
Comments: 4
Favourites & Collections: 1 [who?]

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Artist's Comments

I've created a torus function for my 3D flame raytracer.
This flame has 2 transforms placed carefully both equally weighted to show the workings of the function
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Comments


=slobo777:iconslobo777: Nov 6, 2006, 5:29:14 AM
:doh: oh, of course most of the Apo variations are inherently 2D . . . lot's of work to convert them or come up with new ideas - good luck!

I recommend implementing a port of "spherical" of course:

R = x^2 + y^2 + z^2 + 1e-8 // to prevent div-by-zero
x' = x / R
y' = y / R
z' = z / R

. . . yeah, I know you know the math already . . . just putting it to make 100% clear :XD:

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Gallery (Fractals et Alia), Stock Photos, Stock Fractals. *Apophysis
=slobo777:iconslobo777: Nov 6, 2006, 5:31:40 AM
By the way:

- I like how you can see through the red torus to the shadow below it.
- It looks just a little like a 3D projection of a quaternion julia set.

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Gallery (Fractals et Alia), Stock Photos, Stock Fractals. *Apophysis
~casteeld:iconcasteeld: Nov 6, 2006, 6:20:43 AM
I had a version of spherical in it, but had something wrong with it and hadn't taken a look at it to figure it out. This will help a lot.

Thanks

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*Apophysis
~casteeld:iconcasteeld: Nov 6, 2006, 6:23:10 AM
Like you, I kind of liked the transparency, so I left it as it was. I really need to run more iterations for full opacity, but with fuzzy flames like this one it takes a LOT of iterations.


Thanks for your comments

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*Apophysis
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