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Which is easy, of course, as both are instances of a torus.

What really impresses me was turning a Klein bottle into a coffee cup... resulting in the Klein Stein

(Why yes, that's a shameless plug for Cliff Stoll's Klein Bottles. And despite the fact that it's toplogically identical to every other Klein bottle, and therefore definitely not a torus, I gotta say the Klein Stein is an amazing bit of glasswork. It holds a lot of liquid for something with no volume.)

I'm not the only person that realizes that a klein bottle can't be made with lego? Or with anything that we know of...
klein bottles can't really be represented in three dimensions...

Um, (claps one hand against belly or other skin-coated surface) you must have overlooked these.
http://www.kleinbottle.com/

Although I cannot figure how as it is the first hit when I GOOGLE a [ Klein Bottle ] search. There is even a Klein Coffee cup! Now stop being silly and order one for goodness sake.

I believe Clifford Stoll (of Cuckoo's Egg fame) makes them out of glass. See www.kleinbottle.com.

Now, you can always claim to have an empty mug... ::wink:: Ok, so that's stretching it a bit, but imagine the fun:
But honey, my glass was empty all night long!

Look for the faq for any explainations. The author can do that much better than me...

*snip*
i do believe that we can proove and disprove things absolutely. to think otherwise is incredibly naive given the relative success of humanity.
*/snip*

...and according to some topologists, these should have an volume of zero...

It's can only be said that something's impossible, unproveable, or will never be done until some young dumb sonofabitch who doesn't know any better comes along and does it anyway.

For the geek who has everything, a bottle of ... nothing. Zero volume, to be precise. Get yours at Acme Klein Bottle. Geek klein trivia: this company is owned and run by author Clifford Stoll.

Count the FBI among the many visitors to bonsaikitten.com who are anything but amused at the descriptions of how to use muscle relaxant, feeding tubes and Klein bottles to shape a perfect Bonsai Cat.

Count the FBI among the many visitors to bonsaikitten.com who are anything but amused at the descriptions of how to use muscle relaxant, feeding tubes and Klein bottles to shape a perfect Bonsai Cat.

The "zero-gravity pretzel" huh? That would be an edible mobius toriod that we could wash down with this beer out of a Klein Stein.

MondayMorning Dec 11 -- I've just been deluged with orders -- like about 40 or 50. I can't handle all of these (I usually send one or two klein bottles per day). I am trying to take care of these, but don't know how long it'll take - two or three days, I'd guess.

So please DON'T ORDER UNTIL I REMOVE THIS NOTICE! Apologies, but I'm just one person who does *everything* here -- and I have to take care of my 2 kids when they return from Kindergarten.

-Cliff 10:30AM Monday Dec 11.

• You try and set the bottle down with anything in it, and you're gonna be wearing it.
• That mug is gonna be a BITCH to clean.

No, really, as close as can really exist in a 3D universe:

http://www.kleinbottle.com/

Please see the Simpson's episode where Ned Flanders opens a Mall store for left handed gadgets. I'm certain that one of the items mentioned and/or shown in the store is coffee cup or mug.

Also, the first image on this page clearly shows both left handed and righthanded model, and the page discusses its use as a cup to be used for coffes.

Cheaper Then a Playstation 2's rumored eBay sale value ($301-$1500) : The usual big-ass flatscreen monitor.

Unlimited (Mommy, can I have a stealth bomber for Christmas?) : A viable space program.

Tempted by the stealth bomber and a full load of nukes? Sure, who wouldn't be? But as cool as a stealth would be, it wouldn't be as useful as, say, a few gazillion on a faster, better space program.

You asked me what I want for Christmas? A Congress that'll let NASA skip the cheaper part in order to get back to "faster and better", and a private space industry able to give NASA a run for their money.

$10B to the first company - or NASA - able to put a team of six people on Mars for two years and return them safely to the earth. $2B for the first organization able to launch a Europa Orbiter. Another $2B for a Europa Lander, with a bonus $1B if you can find the ocean and take samples of what it's made of. $500M for the first 100-meter resolution pictures of the surfaces of Pluto and Charon.

Or $10B to the first group who can cut down the cost of lifting stuff to orbit to $1000/lb, and another $10B to every group for every 50% improvement thereafter. That'd be ~$50B to get the cost down to $100/lb. Over 50 years, it means spaceflight becomes affordable to the general populace, and at $2B/y, that works out to goddamn cheap. With lift costs at $1000/lb (let alone $100/lb!), you get the space probes and offworld colonies for free.

I want an infinite-volume beer mug, and a Punpkin Gun (Current world record is over 4000 feet).
Oh, and for outdoor types, the Bumper Dumper will be appreciated.

For more scholarly people, these books are a must.

Share and enjoy.

I like the idea of a submarine; Here's a link to an entire series; from the spiffy two-man Triton to the Phoenix (5000 sqft, 65 meters, dockable minisub).

For the sub $300 category, a Klein bottle is never wrong. This year, say it with a one-sided surface!

• Under $300: A Klein bottle. You though it was impossible? Think again!
• $300-$1500: A nice big monitor. Mine sucks.
• Unlimited: A CAVE to play Quake 2 in. A mere $1,000,000+. The link to the Gamespy article gives a good overview of it all.

Have a drink.

[If you don't know who Clifford Stoll is, run do not walk to your favorite bookstore, perhaps F atbrain or Amazon.com, and get a copy of The Cuckoo's Egg : Tracking a Spy Through the Maze of Computer Espionage. --PSRC]

http://www.kleinbottle.com/acme_faq.htm

Who's behind Acme Klein Bottle?

Just me, Cliff Stoll. Nobody else.

Are you the same guy that ...

Yep, same guy.

Do you make these Klein Bottles yourself?

Not any longer. I tend to overwork the welds and have burnt myself too often. Worse, I take a long time to make a Klein Bottle. To keep prices reasonable, professional glassblowers make these to my specs.

Check out the link to the ACME faq. Look who's running it:

Who's behind Acme Klein Bottle?
Just me, Cliff Stoll. Nobody else.
Are you the same guy that ...
Yep, same guy.