Lastly and most fascinating of all is the Möbius strap or band. A simple device to make; take a long rectangle of paper or just a longish strip,nd join one end to the other, but put a half twist in before connecting two ends. I don’t want to bore you with all the quirks attached to this remarkably simple design but you can find plenty of information on the internet.
Note the lower pair of figures labelled 'D'. are shown in spiral or twisted design whereas the upper pair labelled 'C', are in straight stripes. I've always wondered if that is meant to convey that the lower pair have a half twist in their relative positions somewhat like the infinity symbol of even the Möbius band?
I did try to manipulate my drawing of the figures 'D' to demonstrate what I meant but it ended up just confusing, so if anyone wants to try their hand at it I'll gladly post their pic here if its better than mine! So the right half of the ‘D’ figures needs turning up side down and flipped horizontally to complete the spiral move. To me the spiral is suggesting a upside down move as well as a horizontal flip.
I believe I have discussed some of this many many years ago but I can't remember where or when, so apologies if we have been here before, but I definitely didn't associate the Möbius strip and the infinity symbol together along with the figures 'D' in the Toys page at that earlier time.
There may be some way of introducing Möbius-like mechanical configurations into Bessler's wheel?