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May 11, 2012

Perforated Klein Bottles

Elizabeth Paley’s Klein bottle, on left, is another bottle with holes, similar to the Porous Coke Bottle that we looked at on Monday. But while drilling holes in a normal bottle may render it non-functional, a Klein bottle is fairly non-functional to begin with.

The bottle on the right is a plastic Klein bottle, designed by Nancy Shaw and available for sale on the ACME Klein Bottle site. ($30)

There’s also a $72 Klein bottle opener that is similarly perforated…

Does it therefore follow that there are perforated Klein bottle caps?

(Asked and answered, after the fold…)


Left: Klein bottle cap (via); center: Katherine Hayes shows off her Klein bottle hat at the Knitting Circle during the 2011 Joint Mathematics Meetings; on right: Debbie New’s 2008 Klein bottle hat

Yes. But not the kind of caps that go on bottles.

The last time we touched on Klein bottles was back in 2009. Maybe it’s time to delve deeper into the Klein bottle thing. (Klein bottle week?)

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