This sphere (almost) is folded from a single sheet of paper. The design is surprisingly simple. Just a 16 x 32 square grid, pleated in staggered rows, the ends seamed together with a piece of masking tape. The pleats bring out a curve in the paper, so that the finished model takes a spherical shape almost by itself. (Click
here for the tutorial.) Choice of paper is crucial. I used a sheet of tant, 35 x 17.5 cm, and it worked wonderfully. I got all the way from start to finish without a hitch.