Cutting a Klein Bottle in Half - Numberphile

Klein Bottle enthusiast Cliff Stoll uses a diamond saw on a glass Klein Bottle. More links & stuff in full description below ↓↓↓ More videos about his bottles: http://bit.ly/KleinBottles...

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I've been sewing,along with a friend of mine,a Klein bottle hat. My question for the Klein bottle hatrequires that I inset a zipper.Which is why my trusty old Pfaff has a zipper foot.Why would I want a zipper in a Klein bottle?I've been told over and over again that if I cut a Klein bottle in half,I'll get two Möbius loops.So let me unzip my Klein bottleintotwo pieces of fabric, ja? Here's one half of the Klein bottle.Here's the other half of the Klein bottle. Check this out. This half Klein bottle has a half a twist.This edge comes over, around, and then goes under.This is a Möbius loop. Yeah, it's wider in one part than the other, but it's a Möbius loop.This is also a Möbius loop. It looks almost the same,...
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