Re: request
On Tue, 25 May 2004, Michele Cerulli wrote: > It is a possible figure, it's odditiy is that it has only one surface. > However, if you want an "impossible" moebius like figure, you can try with the > Klein Bottle. It's impossible in 3 dimensions, but if you will allow use of time as the fourth it is very easy: Take two rings sitting on top of each other. Lift the top one and turn it over and set it back on the fisrt. The moving ring sweeps out a surface something like this: . .----. . / __ \ . / / \ \ . | | | | . | | | | . \ \ / / . \ \/ / . \ /\ / . | | . |__| while the stationary ring sweeps out a surface through time connecting the initial and final ends of the surface generated by the moving ring. [You might want to consider the rings to come into existance just before you seperate them and to cease to exist just afterwards.] Note the orientation of the ring has changed, kinda like the 1/2 twist you give the strip when making a Moebius strip. Using [the edges of] two coins you can bet your mathematician friends you can make a klein bottle and maybe win said two coins :-) 3ch
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