>> PS: I haven't tried it, but I think it should work...
>
> Nice try, but... not, that doesn't work.
>
> (It makes ripples that are diagonal rather than parallel to the axies.
> And the ripples decrease in frequency rather than amplitude as they
> spread out. And there is no rounding at the corners.)
>
> I am looking into making the function simpler though - but hopefully
> without loosing its "organic" quality.

How about this:

y-10*sin(10*pow(pow(x,4)+pow(z,4),1/4)-1)/(pow(abs(x)+1,4)+pow(abs(z)+1,4))

(designed for a box{-8,8})

The middle gets a bit screwed up but you can chop that bit out for your box 
to go in.

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