From: Ellen K. 

Great website!    :)

On Sat, 12 Nov 2005 15:06:18 -0800, Tony Williams 
wrote in message :

>Gary Britt wrote:
>> First you'd have to tell me what a mobius loop is.  Fundamentally however a
>> loop has width and height 2 dimensions not one.
>
>Take a strip of paper, twist it 180 degrees and then join the ends. You
>end up with a 3 dimensional object which has only one 2d side. You can
>prove that to yourself by drawing a line along the surface - it'll make
>two revolutions, passing across the entire surface before getting back
>to the starting point.
>
>That's the 3d/2d version of a general type of shape. A Klein bottle is
>the 4d/3d version, which can only be approximated in 3 dimensions. I
>have a reather nice beer glass in the shape of a Klein bottle and it's
>always fun to ask people to try and get all the beer out (doubles as a
>handy barometer too).
>http://www.kleinbottle.com/drinking_mug_klein_bottle.htm

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