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What is the volume of a generalized Klein bottle, say using characterizing dimensions such as greatest length l, width w, intersection area a?

Guest Aug 8, 2014

Best Answer 

 #3
avatar+26971 
+5

The Klein bottle is a 4-D object!  The physical ones you can see are just projections of the 4-D version in 3-D.

Alan  Aug 8, 2014
 #1
avatar+26971 
+5

A Klein bottle has no interior and no exterior so it has zero volume!

Alan  Aug 8, 2014
 #2
avatar+93289 
+5

I've never heard of a Klein Bottle before.

There're weird!  Sort of a 3 dimensional version of a mobius strip? 

There are instructuions in this wikipaedia page on how to make one!  Does someone want to give it a go?

You could upload a photo of your creation to show us!

http://en.wikipedia.org/wiki/Klein_bottle

Melody  Aug 8, 2014
 #3
avatar+26971 
+5
Best Answer

The Klein bottle is a 4-D object!  The physical ones you can see are just projections of the 4-D version in 3-D.

Alan  Aug 8, 2014
 #4
avatar+93289 
0

Thank you for clearing that up Alan.  Now I can imagine it a whole lot  better  lol.

Melody  Aug 8, 2014

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