Here is some information from the Berkeley Lab about the moebius, which has no beginning and no ending:
Möbius symmetry, the topological phenomenon that yields a half-twisted strip with two surfaces but only one side, has been a source of fascination since its discovery in 1858 by German mathematician August Möbius. As artist M.C. Escher so vividly demonstrated in his “parade of ants,” it is possible to traverse the “inside” and “outside” surfaces of a Möbius strip without crossing over an edge.Once the cast-on is mastered, it is just a matter of knitting in whatever pattern you like; infinite possibilities, of course.
Here is Bordhi's video explanation of the Moebius cast on:
I'll definitelyt knit this pattern again.