It was a learning experience, and I can tell that some of my choices weren't ideal. However I never got around to coming up with something better, so here you are. Also I made this 2 years ago, it might be a little vague, sorry.
Step 1: Materials
-Persistence and creativity to actually get this to work out how you like.
-Some electrical knowledge, or someone who has that, or some sort of kit, or an existing lamp.
-A large, bendable, translucent material that wont melt or burn. I used mylar that I found at the book store near the art campus. I bought it by the foot, and you'll need to figure out how much you need by planning out how you can cut out the pieces.
-Two-way tape or something equivalent.
-Wire - a coat hanger could work
-a socket, light bulb, cord, switch, and chain, soddering tools
Step 2: Making the Lamp
I cut the mylar into 8 diamonds, each 14 inches tall, with 60 degree angles (like two equilateral triangles).
Then add slits like in the picture. Each slit ends in the very middle of the shape.**Edit. I found my page of scribbles and these are the measurements I used. **
Attach the pieces. Each top slit goes into a bottom slit. The second picture is an idea of what it will look at from the top. This is just three pieces, and you can see where the slits line up (in red). The first cross creates a cylinder, and the next two add decoration and stability.
Do step one on each piece, then step two to connect them, and step 3 to finish. At some point you connect the chain into a circle, with the pointy flaps on the outside.
In addition, I think I used double stick tape between each cylinder. I'm sure this depends on the material etc.