Wasn't it Jos leys who wrote:
>The thing I want to try and do in a novel way is the Lorenz attractor, so none
>of the features in Julia Fractal can be used, as what I want to do is totally
>different.

Fractal surfaces, like the Julia fractals, are completely different from 
Attractors.

With a fractal surface, you consider each point in space, iterate that 
with some function, and determine if the function converges to some 
limit or diverges to infinity. [For most suitable functions, it's 
possible to prove that if the track leaves a certain bounding volume, 
then it must continue to diverge to infinity.] If the function 
converges, then the point is inside the surface, otherwise it is 
outside.

With a Strange Attractor, the track neither converges nor diverges. It 
wanders chaotically within a finite volume. The pretty patterns that the 
Attractor makes aren't a surface, they're a cloud of separate points. To 
model such an Attractor in POV, plot a small sphere at each of the 
points.

-- 
Mike Williams
Gentleman of Leisure

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