Woodi - yes, I sewed the strips together. It went together pretty cleanly because I slip the first stitch of each row.
Lucky you asked me now to take a picture, as I am giving it away for a charity auction this weekend! The red/white/blue one has already been turned over to Project Linus.
The technique I use is something like this: http://www.youtube.com/watch?v=1M_Us7yKChE
Here is the picture of the reverse side: