>
> I followed your advice and used those bounds, initially with colour to
> verify the camera placing.  I also placed the box with the transparency.
>
> no joy though, still all black; I even managed to lose the "*something*"
> found by Scott. :-(
>
> after some more googling I downloaded Ingo's MMGM and had a look at his
> p_umbilic.pov file, which works nicely (and so much faster than the
> parametric).  what is very confusing though is that Ingo's version swaps
> the x and z functions when compared to the formulas in Wikipedia and
> Blaise Montandon's program, and also that BM's formulae incorporate the
> pi and use -1..1 bounds while the others use -pi..pi bounds, a different
> way of scaling I assume?

The <-pi,pi> bounds are the values used for the computations. As if you 
compute the cosinus in the range <-pi,pi> or in the range <-1,1>, it is 
not a way to scale. Ex, the values for a circle are in the range 
<0,2pi>, which is like <-pi,pi>.

>
> I shall have to burn some more 'midnight oil', my aim is to use the
> parametric because, AIUI, the surface can then be decorated with a
> texture which itself is the result of a computation (needed, I think, to
> replicate the Hilbert curve engraved on the original artwork).
>
> btw, inside_texture is not available in v3.6.
>

I think Alain make an syntax error, he probably thought:
interior_texture{pigment{rgb<1,0,0>}finish{ambient 1}}
And why not install PovRay 3.7?

If your image is desperately black, add the background statement in your 
scene:
    background {color rgb <0.2,0.4,0.75>}


I can't understand what you want, the p_umbilic.pov file make exactly 
what you want. I think (but I am human and I could be wrong) you can 
texture this object like another, you create your texture with 
calculations and apply then to the shape.

I hope you succeed in your image.

Lionel.
-- 
Do not judge my words, judge my actions.

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