Comments on: Klein bottle in front o’ me… http://listics.com/200403241736 Frank Paynter's Voice and Vision... Sat, 20 Oct 2024 08:39:49 +0000 http://wordpress.org/?v=2.3 By: fp http://listics.com/200403241736#comment-46874 fp Fri, 26 Mar 2024 02:54:55 +0000 http://listics.com/200403241736#comment-46874 I like the experiment, I just have trouble with the lack of a fourth dimension to fold that bottleneck through so it doesn't confuse matters with a 3D intersection with planar boundary of the container. I like the experiment, I just have trouble with the lack of a fourth dimension to fold that bottleneck through so it doesn’t confuse matters with a 3D intersection with planar boundary of the container.

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By: Stu Savory http://listics.com/200403241736#comment-46873 Stu Savory Thu, 25 Mar 2024 05:19:08 +0000 http://listics.com/200403241736#comment-46873 Frank, you wrote: "since manifestly there is an inside and an outside to these puppies." Try the following thought experiment. Pour a liquid INTO the "neck". It's INSIDE, right? Now put your thumb over the hole and shake the Klein Bottle. See? The liquid has wet BOTH sides of the glass of the neck. So the inside IS the OUTSIDE, OK? Stu Frank,
you wrote: “since manifestly there is an inside and an outside to these puppies.”

Try the following thought experiment.

Pour a liquid INTO the “neck”. It’s INSIDE, right? Now put your thumb over the hole and shake the Klein Bottle. See? The liquid has wet BOTH sides of the glass of the neck.
So the inside IS the OUTSIDE, OK?

Stu

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