> The 'top' pattern of the sphere is strange: I would have expected to see
> the sky.

This is me. I have modified default scene with default camera
center of sphere is 0 but location of camera has 0.5 as y

> It seems that you have a line of discontinuity on the picture
> going from the top left to the bottom right.

I'm not sure it is is line of discontinuity.
I have meet some strange results on some images
but always when I parsed them with trace() and puted cylinders along normals
everything appears ok.
The main problem with this misunderstand belongs to twisting.

> Could you put a mirror behind (3/4) the twisted sphere ?

sure

ABX

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