One of the commenters on Flickr wondered what would happen if I were to sandwich the unfelted, floppy cotton strips between two pieces of tulle. It occurs to me that this is an inverted quilt; generally one looks at the surface and the interior serves to bulk it out and make the quilting show. In this case, the surface is as transparent as I could find today in the fabric store, so that we can see the strips in the interior.
I thought I was done, but I am still thinking of another way to do this. Stay tuned!