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Would a Klein bottle have a resonant frequency?

Yes! As a surface in 3-space it is a single sheet with no front nor back, like a Moebius strip. But as a bottle, it contains a closed volume of space. Hence it could serve as a quarter wave resonator with one end closed. You can fill it with water without it leaking out.

-- DavidMcClain - 19 Nov 2003

 
 
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