Okay, I will be honest. I think Cliff Stoll is awesome. I posted about him a couple of years ago when I noticed someone had posted his NOVA story on YouTube. A couple of weeks ago, at the Joint Mathematics Meetings, I got to meet him, and that was awesome. I even got a picture of him playing with Baby, Ducky’s stuffed baby-duck. He is literally full of energy in a way that I only wish I were.
He sells Klein bottles through his website, Acme Klein Bottle. Klein bottles are these four-dimensional glass bottles that have zero volume. Or infinite volume, I suppose, depending on which side of the fence you are on. Anyway, I bought a knitted Klein bottle hat and Möbius band scarf. Oh, yes, also, a Klein bottle is the logical extension of a Möbius band into four-space. Anyway, he has a hidden warehouse in his home full of thousands of glass Klein bottles and it is the craziest thing I’ve seen in some time:
After you watch that, this will make so much more sense: