The comments have convinced me that if I were to ask the question I really should provide an MWE (no matter how minimal). But in the meanwhile I've decided on another strategy entirely. If you're curious, read on.
Next month I'm giving a talk on the Spinor Spanner, using parts of this paper I wrote 41 years ago: http://www.jstor.org/discover/10.2307/2318771?uid=3739696&uid=2129&uid=2&uid=70&uid=4&uid=3739256&sid=21104093201771. I drew this picture then using ancient technology - pen and ink.
I've "animated" this for my talk by erasing pieces (using MS paint!)
and displaying beamer slides in succession.
If I still wanted the graphics in LaTeX I would suggest starting with one of the answers to How to draw a shaded sphere? . I think the rest of the picture would be hard to get right.
You can find many nice spinor spanner animations on the web, but none that serves my particular purpose. Here's the best known: https://www.youtube.com/watch?v=CYBqIRM8GiY
Here's a link to my slides: http://www.cs.umb.edu/~eb/ss/houdini.pdf . Note no words - they were the talk.