|
 |
Tim Martin wrote:
>
> AIUI, a Klein bottle is a 4 dimensional object. What they have on that site
> is a 3-dimesional projection of a Klein bottle (Think of trying to draw a
> mobius strip on 2D paper). It's as close as you can get in a 3D world, and
> it is still a damn fine mug.
>
> Tim
Not at all, a Klein bottle can exist in 3D space (as the mig
demonstrates). What is impossible is to have a Klein bottle that doesn't
cross itself in 3D space, you need at least 4D for that. As for drawing
a moebius strip on 2D paper, you can't because a moebius strip is a
surface (eg it has 2 dimensions) but the klein bottle is also a surface
and not a volume, that's where your analogy fails...
--
* Doctor Jekyll had something * mailto:ber### [at] iname com
* to Hyde... * http://www.enst.fr/~jberger
*******************************
Post a reply to this message
|
|
