The support yoke is shaped like a big fat tuning fork. The design is roughly octagonal with the top part chopped out. Download yoke templates from dadcando's Batman project
or draw up your own easily.
Measure the width of your lamp with its extra side pieces and just make sure that it is a sung fit in the yoke. I used foam core for the yoke, but you could use much nice materials. Two bits of card glued together, thin plastic or thin wood for example.
Cut the bottom prong so that it fits into the hole in the top of the drinks bottle.
spray or paint both the yoke and the base, black and then stick them together using hot melt or any other quick setting glue