Möbius Strip

From Lost Highway

A mobius strip is continuous one-sided surface made by taking a regular two-sided strip (of paper, for example), turning one end upside down, and attaching it to the other end. One can now trace a continuous line beginning anywhere on the strip and return to the starting point, having traversed both sides of what had been a two-sided strip.

At the end of Lost Highway, Fred returns to the beginning of the film ("Dick Laurent is dead."), having traversed a parallel identity. Fred's journey can thus be seen as having the structure of a mobius strip.