Möbius strips → Klein bottles → possible origin of the reverse twin

Although I haven't made a commitment to make shitposts for February, I thought it would be a good occasion for a rather silly and obscure post ( that ultimately is a connection between a Möbius-strip/Klein-bottle -math thought experiment and the world of Chuck Tingle, although it may be of interest to the Möbius-interested person who is not conversant with Dr Tingle as well. )