Today I'll show you how to fold this lampshade. It consists of 2 stacked pentagonal antiprisms. The folding process is very similar to the pentagon fold that I showed before.

Step 1: What You Need:

-homeprinter, pdf-reader
-scissors or cutter
-glue
-basic folding skills
-the crease pattern, attached below (red - valley fold, blue - mountain fold, black - cut off)

prismlampshade.pdf
Download

Step 2: Folding Instructions

Above the dotted line is the glueing area. (overlaps 1/2 of the rhomboid column)
-precrease and prefold the pattern
-glue the two ends and form it to a ring.
-fold and tuck like shown at the beginning of the 3rd picture and repeat it 4 times
-repeat the last step(s) for the bottom and you are finished

Good Luck!