I love this kind of folding. I tinker long time with this lamp, and finally this is the result.
I have used 80 gr. paper, is stable but not too heavy for hanging on a cable.
So here is the instruction. Please note, you need 30 of these elements, otherwise, you will not get a symmetric ball.
The paper is A4 (For Us: US Letter size) size per unit, which is cut into a square.
If my instruction for the folding is not clear enough, you can search for the Sonobe Triambic Icosahedron Ball (that's the correct term)
The most important thing at the end is to put the items together properly. It must always be plugged together three elements.
In order to keep track : You have to build a star with 5 of these three elements. If there should be only four your ball will be not straight. ;-)
Above where the cable is located, you could glue the units, so it's a little more stable. I've used a cable holder at this version, so that the lamp will be more stable.
It is important that you use energy saving lamp with not more than 30 watts or LED lamps in order to prevent the generation of heat. (EU Norm)
My heart always beats higher when I turn the light on. I think it looks really great!
If you use darker paper, the light coming through the holes, which also has a very pleasant effect.