I went to http://www.flickr.com/photos/firstfold/sets/72157631434627778/detail/ and made a diagram of the 8x58 illustration in the fourth picture. When I folded it, the intermediate illustrations in the third and second pictures looked identical. The two sides I finished with looked exactly like the top two illustrations in the first picture. I could see how to do what might be called a reverse petal fold on each of the (eight) corners. The result was a single color, like the center of the top two illustrations, but not labeled like the bottom two illustrations in the first picture. Could someone please give me a hint about "the Inside out twist "? For example, how does one get the "8" (from the other side) next to the "1"; the "2" and "3" to switch sides and come together; the "5" (from the other side) next to the "4"; and leave the "6" and "7" unchanged? I am familiar with the one piece flipper by Sy Chen, which is also referred to as a flexisquare, http://www.youtube.com/watch?v=PlxGmi41gRc but that is quite a different thing.
Thank you and have a great day! SVBE (si vales, bene est) - Cheers, Ralph Jones