Yikes! A Drinking Mug Klein Bottle

Drinking Mug Klein Bottles – for the Thirsty Topologist

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.

Acme’s Klein Bottle Mug holds about a pint. There’s
~230 mL in the outer chamber (which topologists will recognize as
equivalent to the inner chamber) and ~250 mL in the inner chamber (which
topologists claim to be the same as the outer chamber). You can fill the
inside with coffee and the outside with tea. Or Coke and Pepsi. Or
Chardonnay and Zinfandel. However, realize that the outer chamber (which
topologically connects to the inner chamber) is almost impossible to
clean, so don’t pour in any milk.

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 and subsequent heat
death of the universe. 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. (you can
tape over the hole in the side, and use it as a regular cup, but that
kinda defeats the whole idea, eh?)

Again my warning: THIS IS NOT A GOOD DRINKING
GLASS! It’s difficult to get liquids in. Difficult to get liquids out.
It’s difficult to clean. (it’s also difficult to make, if that’s any
consolation. ) Please treat it as a mathematical curiousity rather
than a practical cup.

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 $95 —
cheaper than sending a spaceprobe most of the way to Mars!

To order a Klein Stein for
$95, click here:

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.

Naturally, The Klein Stein has
all the features of Acme’s other quality Klein Bottles — zero volume,
nonorientable, 3-dimensionally immersed, and free from any topological
boundary conditions. It’s made from genuine heat-resistant
Borosilicate glass, annealed, stress-relieved, and cooled well below
its triple-point.

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

• – Height 130 mm (5 inches)
• – Diameter 90 mm (3.5 inches)
• – Weight: 425 gm (15 oz) – It’s surprisingly heavy.
• – Displacement 825 ml (28 fluid ounces) About half a pint inside,
  half a pint outside.
• – Actual volume 0.0 ml (0.000 fluid ounces) Zero inside, zero
  outside.
• – Fully calibrated with
  removable decal
• – Includes Acme’s quality topological and
  physical features
• – Guaranteed against lots of problems

To order a Klein Stein
for $95, click here:

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!

Go to Acme’s Home Page