Atlas revisited, the sphere a bit larger, and the head also totally round. The back (not shown) is closed and claen, meaning no edges running across it.
I used cotton wool stuffed into the globe to keep the shape, but now it's top-heavy. That's why I got the wire around (behind the head) to keep the model upright.
I feel I'm getting closer to the result I want, which is a completely 3D sphere with an anatomicaly correct man, which is also 3D. This one is still a bit rough, but I think on the right way.

Quentin