I don't usually do this type of project, but this one sort of fell in my lap, and my intern Ainsley helped out. My client had an old Japanese-style lampshade that needed to be re-covered. She couldn't just go to Ikea and get a new one, because this particular shade had a special cylinder in the middle of it where it connects to the lamp. So there really was a need for someone who could recreate the shade. Hooray for handmade!
I removed the old shade, made a foam core armature in the same size and shape, wrapped it with rings of reed, figured out the pattern for the paper panels, and recovered the shade. After applying the paper panels, the foam core armature gets removed -- you just lift off the top and bottom rings and the spokes collapse and fall through the holes.
I'm assuming the client was pleased because she hasn't called to say otherwise (her assistant picked up the shade). It looks quite different than the original -- the reed is spaced differently, the paper is thicker, etc. but all in all, I was pleased with the results.