Yet another possibility, as I jokingly suggested, is that pov has "discovered"
solutions to these functions, and mathematicians and programs like Lotus 123 are
"wussies" for refusing to give an answer to these unorthodox
questions..............

Greg M. Johnson wrote:

> But the point is that pov is doing SOMETHING.  If it finds a definite
> isosurface for a mathematically undefined region of space, then povray is in
> reality not computing the given function, but converting it to some defined
> function. Or there is an error in how it has defined some functions.
>
> perhaps
>     x^a = sign(x)^int(a) * abs(x)^a
>
> because
>     noise3d(x^3.1, y, z)
> gives "something" for negative values of x !
>
> I'm not complaining as much as striving to solve the mystery . . .

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