text: is it  true that the closest distance betwwen 2 polnts is not a straight line on a mobius strip? where does a mobius strip exist or is it a mathamatical theory? that is correct.  the mobius strip only has a single surface, and that surface is always curved.  if you could break the rules and go "through" the strip, you coold connect in a straight line, but that does not work here.