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In article <3AA8E44A.6218AF06@stress.uio.no>, Simen Kvaal
<sim### [at] stress uio no> 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] mac com, http://homepage.mac.com/chrishuff/
TAG: chr### [at] tag povray org, http://tag.povray.org/
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