Drinking Mug Klein Bottles - for the Thirsty Topologist
-- now back in stock! --
This looks like a glass cup. But wait -- it has two big chambers connected by a hollow handle. In fact, it's actually a Klein Bottle.
Hot ziggitty -- a Klein Bottle that delivers
liquid straight to your waiting lips. Yep - you heard me right. You
can drink right from this cup. Pour in beer and it's a Klein Stein.
Would you believe Einstein's Klein Stein? This cheezy diagram shows a cross section through the
Acme Klein Bottle Drinking Mug. With a single hole, it's a
true genus-1 manifold and topologically identical to our
other Klein Bottles.
This cheezy diagram shows a cross section through the Acme Klein Bottle Drinking Mug. With a single hole, it's a true genus-1 manifold and topologically identical to our other Klein Bottles.
The handle does triple duty: It connects the inner and outer chambers, provides a topological hole, and gives you a way to conveniently grasp the mug. We've designed the handle to be fully ambidexterous -- yes, your Acme Drinking Mug Klein Bottle fits either hand. Indeed, it's possible to hold it with both hands simultaneously. And since it has no preferred angular momentum vector, you can swish your drink either clockwise or counterclockwise.
And if that's not enough, the outer chamber (which is topologically the inner chamber) insulates the inner chamber (which topologically is also the outer chamber). The 7 mm air space separates the inside from the outside, so ice water won't cause condensation. This extends the life of hot or cold drinks, saves energy, and helps stave off the dreaded local thermodynamic equilibrium. Even better, thanks to the exclusive Acme Concave Mug Bottom, no extraneous feet are needed!
But be careful. As a day-to-day cup, well, this isn't practical. It's hard to get liquids in and out of the outer chamber. A length of flexible tubing can relieve the obvious airlock; otherwise, it's a lot of tilt-and-pour. And once wet, the chamber is difficult to dry -- surface tension holds water up at the very top. (Alcohol is useful in drying, as is an aquarium style air pump). So treat this as a topological novelty - not as a utilitarian drinking mug.
This Klein Stein is ideal for the mathematical physicist who needs a glass of water while accepting her Nobel Prize. Perfect for the Silicon Valley programmer swigging Jolt on an allnighter. Just the thing to quench the thirst of the multibillionaire following a leveraged buyout of the US government. Indeed, think of all the seminars, colloquia, interviews, and funerals that would be jazzed up with an Acme Klein Bottle Mug at your side.
Now, thanks to the wonders of modern technology, this multipurpose Klein Bottle is available for a mere $90 -- cheaper than sending a spaceprobe most of the way to Mars!
In this photo, the inner chamber is
half-filled with green water. The outer chamber is about
3/4ths filled with yellow water. The column of yellow water
in the handle shows that the barometric pressure is high.
Klein Bottle also works as a
barometer) Refraction of light
makes it look like the green water is in the outer chamber.
In this photo, the inner chamber is half-filled with green water. The outer chamber is about 3/4ths filled with yellow water. The column of yellow water in the handle shows that the barometric pressure is high. (Yes, this Klein Bottle also works as a barometer) Refraction of light makes it look like the green water is in the outer chamber.
Your Klein Stein happily holds steaming hot Kona coffee, ice cold Nepalese ginger tea, and even Ben & Jerry's ice cream. But please do not freeze water in your Klein Stein. For detailed information on why this is stupid, please see the Important Information for Idiots
Here's a Klein Stein with the slightly wider diameter handle. That's Rose Wine in the outer chamber, and water in the inner chamber.
Same Klein Stein, except against a black background, so you can see the calibration label. It's hard to photograph these darn things!
Acme - the most trusted manufacturer of onesided, zero volume, locally Euclidean, Riemannian, affine, borosilicate glass manifolds that are fully immersed in 3-space!
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