So, a few days ago, I was trying to figure out what to do with a broken IKEA floor lamp. Could the pieces be recycled, or could someone use it for something? The hollow threaded part that connected the bottom section of the, uh, stalk? Stem? Post? Pole? to the base (I think this part is called a nipple. Seriously.) had broken off and broken in half, and of course it was an unusual size, because IKEA. I actually had a package of these in graduated sizes, because I once fixed a ceiling fixture I got from a thrift store, so 1) I was able to try them and see that this fixture was in between two adjacent standard sizes and 2) while they were no longer in the original package, I'm pretty sure they're called nipples. Hurr hurr.
I eventually realized I could just take out two of the three sections and make a table lamp. How would I do that though, when the post sections are threaded onto the cord? Oh, easy. Unwire the whole thing, reassemble, and then rewire! Some friends on social media were placing bets as to whether it would work and whether they would need to call 911. Assholes.
The lampshade was the perfect shape and size, was lightweight, and the mesh made it even easier to sew fabric to it than it would have been with a cardboard shade. So, what I did was:
1) Cut the bottom out of the wastebasket. I guess you could actually leave it on if you like, as it wouldn't be in the way and light can of course pass through it. I cut mine off because lampshades don't typically have a top, and it made it easier to attach fabric later on. I used wire cutters. Heavy-duty scissors or a utility knife would work well too.
2) Find something that has a hole in it that is slightly larger than a lightbulb base. This seems to be the most secure way to attach a lampshade to a lamp, and is what IKEA lamps use. It also allows for any type of bulb. I used a closet pole socket like this one, since I had one lying around in a drawer. Mine were cheaper, I think $1 for the pair. You could also make something similar out of a fairly sturdy piece of plastic, like a plastic lid out of the recycling. It just needs to fit around the bulb and be able to have holes drilled in it. The closet rod hardware was perfect, since it already had three holes. If I were building it from scratch, I'd probably put four so it would be easier to get it centered and taut. 
3) Attach the middle part to the basket. I used wire to do this. The wire I had is thin craft-type wire, so I twisted it and wrapped it until it was fairly rigid. If I were purchasing wire, I'd probably use something a bit heavier, but not quite as hard to bend as, say, a coat hanger. The basket made it easy to get centered and level, because I could just count how many diamonds down from the edge and count how many diamonds were around the basket and divide by three. Measuring would also work, but that would involve getting up and finding one more thing, so I didn't do it.4) Find fabric to cover the basket with. I unfortunately didn't take measurements or photograph every step, but you'll need roughly a foot by three feet maybe of fabric. If you wrap it around the basket and it fully covers it, you're good. Any material should work. If you aren't the type to own fabric waiting to be used for projects, use a good part of a worn sheet/blanket/pillowcase, or a shirt you don't need any longer.
5) Attach the fabric to the basket. The easiest and most secure way by far is with a needle and thread. Wrap the fabric around the basket so it covers the whole thing, trim it so you have a seam that runs straight up the shade (parallel to the pole), and then sew it to the basket. This part will be hidden, so no need to stitch neatly. Then, once one end is attached, stretch the fabric all the way around until it overlaps where you just sewed. Trim it so you have a straight edge with about an inch overlap. Fold the fabric under to make a nice seam. Then stitch through all three layers of fabric and around the basket wires. I did one diagonal stitch around each diamond.6) Next, trim the top and bottom of the fabric so it barely overlaps the basket. If your fabric has pretty much no stretch to it, overlap about half an inch. Fold the fabric over the basket. Go around the edge and stitch it so the basket is between both layers of fabric, stretching it taut as you go. A whipstitch/overcast stitch/whatever you want to call it (shown in the picture) is going to work best at holding the fabric taut and looking the best. The sewing involved here requires really no skill; it's basically the same as those wooden sewing cards my kids had when they were preschoolers. The equipment needed is just a needle and thread, found in any drugstore sewing kit. If you're really opposed to sewing though, it should be possible to do this with hot glue or duct tape or something, or ribbons covering the edges, or whatever works for you.
Have I mentioned that the cat is an asshole?
