Ron, the Mobius ribbon consists of 2 x1/2 and 10x1/4 bowls which are cut on the scroll saw using the bowl from a board method. I was shown this method by Spencer Bloom who created this in 2012, he has instructions on his pages on Patrioticwoodworker and Lumberjocks, worth a look as he
took out a major scroll sawing award that year with his Mobius. The gluing up is the tricky part and I did get different results in the first 2 photos.
The additional scroll sawing and carving was an idea of mine. Accuracy in the cutting and gluing of the sections is crucial for getting a neat final join.
Hope this covers it. Spencer's user name on Lumberjocks is "SAWTOOTH",