Fabric Anemone Boxes

I ran across these super clever fabric boxes probably two years ago, at an upscale boutique. So very, very smart. When all closed up they look basically like pillows, but they are easy to open and store all kinds of things in. How perfect would these be for scraps? Or kids toys? Or socks? Especially socks.

They look like the type of thing that you could figure out how to make, especially since they are based on origami folds. These boxes also include a metal folding frame at the top of the bag, though, to insure that the "box" folds correctly every time. So, all you need is an Erector set, a lot fabric, and even more patience, to figure it out. Still, there must be a way to make one of these.