In article <3AA8E44A.6218AF06@stress.uio.no>, Simen Kvaal 
<sim### [at] stressuiono> wrote:

> Consider rendering a compact subset of R^3 (that is closed and 
> bounded) which has zero volume but infinite surface area. Thus, it 
> will require infinitely many recursion levels to trace one single ray 
> accurately through it.

Of course, I meant an *approximation* of a Menger sponge...rendering a 
real one would literally take forever, and probably not be that 
interesting.


> And it would definetely not be transparent, or even semitransparent.
> 
> Thus, better and better approximations would tend to a more and more 
> opaque object which take longer and longer to render. I'd say; skip 
> the transparency. :)

Um, with better approximations, the volume the ray passes through will 
decrease, and the sponge will become more and more *transparent*. You 
will get a fainter and fainter image of the sponge, until it is 
invisible. But as I said above, I'm only interested in an approximation, 
maybe 3-5 levels...a real sponge would be impossible.

-- 
Christopher James Huff
Personal: chr### [at] maccom, http://homepage.mac.com/chrishuff/
TAG: chr### [at] tagpovrayorg, http://tag.povray.org/

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