Wrapping with bands is a great way to take advantage of our print-rich environment. I take magazine pages and cut them into long strips, 2″-5″ wide. Fold the two long edges over. This gives both the edges and the whole band a softened and rounded look, a pillow effect.
I glue or tape the bands on the backside and wrap them around. In this case I also chose to weave them. The procedure consists of gluing bands along one short and one long edge of the box. The weave begins at the only corner where these glued bands meet. Alternating between short side and long side, you wrap the bands around and affix them to the back, weaving the bands as you go.
For as tutorial on making the bands, go to this page in the Wrap Art Gallery.