
Re: Arthur C. Clarke's "The Wall of Darkness"  what's the point?
Posted:
Apr 2, 2013 1:01 PM


On Apr 1, 3:02 pm, 1treePetrifiedForestLane <Space...@hotmail.com> wrote: > what is the difference between a Mstrip and a Kbottle?
Here's a good description:
Klein bottle. "In mathematics, the Klein bottle (pron.: /?kla?n/) is an example of a nonorientable surface; informally, it is a surface (a twodimensional manifold) in which notions of left and right cannot be consistently defined. Other related nonorientable 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
See also:
Möbius strip. http://en.wikipedia.org/wiki/M%C3%B6bius_strip
Another distinction is that the Möbius strip can be fully realized in 3dimensional 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 4dimensional cube into 3dimensional space:
http://en.wikipedia.org/wiki/Tesseract
Bob Clark

