21. Examples of non-trivial fiber bundles include the M�bius strip and Klein bottle , as well as nontrivial covering spaces. 22. Note that this creates a circle of self-intersection-this is an immersion of the Klein bottle in three dimensions. 23. For the first question ( for what it's worth ), gluing two Moebius strips together gives a Klein bottle . 24. So the sphere and torus admit complex structures, but the M�bius strip, Klein bottle and projective plane do not. 25. There's a Klein bottle , but that's a bit different ( it's more like two M�bius loops grafted together ). 26. The answer to that is yes, since space could be shaped like the 3D analogue of a Klein bottle . 27. My universe is still a Klein bottle , not a plane it's just a different way of looking at it. 28. The fundamental group of the Klein bottle can be determined as the presentation & minus; 1 " a " >. 29. Let's say there was a group of flat-landers living on a Mobius strip, or if you like, a klein bottle . 30. If you stitch together opposite sides of a square, you get a torus or a klein bottle or a projective plane.
