Following my investigations into software for making 360° panoramas, I made a philosphere. The process of making a three dimensional shape out of paper was quite fun, so I went in search of nets for other polyhedra.
The most useful site I found in my not-very-extensive Google search was this Paper Models of Polyhedra site.
The shapes I have made so far can be seen below:
I am now turning these into christmas decorations thus: