TorusFn-001 by casteeld

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

slobo777 Featured By Owner Nov 6, 2006 Hobbyist Digital Artist

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.

casteeld Featured By Owner Nov 6, 2006

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

slobo777 Featured By Owner Nov 6, 2006 Hobbyist Digital Artist

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