On Apr 1, 3:02 pm, 1treePetrifiedForestLane <Space...@hotmail.com> wrote: > what is the difference between a M-strip and a K-bottle?
Here's a good description:
Klein bottle. "In mathematics, the Klein bottle (pron.: /?kla?n/) is an example of a non-orientable surface; informally, it is a surface (a two-dimensional manifold) in which notions of left and right cannot be consistently defined. Other related non-orientable objects include the Möbius strip and the real projective plane. Whereas a Möbius strip is a surface with boundary, a Klein bottle has no boundary (for comparison, a sphere is an orientable surface with no boundary)." http://en.wikipedia.org/wiki/Klein_bottle
Another distinction is that the Möbius strip can be fully realized in 3-dimensional space while the Klein bottle can not. The image usually shown for the Klein bottle is just the projection of it into 3- dimensional space. It's like how the common picture of the tesseract is just the projection of this 4-dimensional cube into 3-dimensional space: