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Topic: Arthur C. Clarke's "The Wall of Darkness" - what's the point?
Replies: 10   Last Post: Apr 2, 2013 3:31 PM

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Robert Clark

Posts: 68
Registered: 12/13/04
Re: Arthur C. Clarke's "The Wall of Darkness" - what's the point?
Posted: Apr 2, 2013 1:01 PM
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On Apr 1, 3:02 pm, 1treePetrifiedForestLane <>
> 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)."

See also:

Möbius strip.

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:

Bob Clark

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