Klein Bottle

[sinkoman]

I wanted to purchase a small handheld Acme Klein Bottle, but I have a few questions for the more mathmatically inclined on the board.

Why is it that Calibrated Klein Bottles are labeled completely with zeros? I know the calibration is technically supposed to be a joke, but why is it always zero? Is it because the outside plane IS the inner plane, therefore, liquid inside is also not in the bottle?

Could you consider a Bong to be a Klein Bottle?

Is it, technically, possible to fill a Klein Bottle? You'd have to put the liquid source significantly higher than the spout of the bottle, so that gravity would force the liquid into the chamber, where you'd have to flip the bottle back over as fast as possible so the liquid didn't empty back out, correct?

 

[TheSomeone]

Why is it that Calibrated Klein Bottles are labeled completely with zeros? I know the calibration is technically supposed to be a joke, but why is it always zero? Is it because the outside plane IS the inner plane, therefore, liquid inside is also not in the bottle?

What do you mean "inside".

Could you consider a Bong to be a Klein Bottle?

No it has an inside. I guess you could try smoking out of a klein bottle.

Is it, technically, possible to fill a Klein Bottle? You'd have to put the liquid source significantly higher than the spout of the bottle, so that gravity would force the liquid into the chamber, where you'd have to flip the bottle back over as fast as possible so the liquid didn't empty back out, correct?

Hhahahah, I don't think you fully understand what a klein bottle is.

For one, it can't be represented in 3 dimensions. The klein bottle you'd be buying is just a model of what it would probalby look like to us.

 

[sinkoman]

What do you mean "inside"

EXACTLY

No it has an inside. I guess you could try smoking out of a klein bottle.

Actually, I just read on the site, that a bong is technically not a Klein Bottle, because it has two holes, and inlet and an outlet.

Hhahahah, I don't think you fully understand what a klein bottle is.

For one, it can't be represented in 3 dimensions. The klein bottle you'd be buying is just a model of what it would probalby look like to us.

I do understand what a Klein Bottle is. It's two mobius planes attatched to each other to form a bottle looking thing. You'd need 4 dimensions for a Klein Bottle to exist, so that the tube going to the bottom of the bottle wouldn't go through itself.

The one i'm buying is, as you said, basically a three dimensional picture of a four dimensional object.

Ok, new question, what kind should I buy?

I'm debating between a small handheld Klein Bottle http://www.kleinbottle.com/baby_klein.htm

And a top mouth Erlenmeyer Klein http://www.kleinbottle.com/top_mouth_erlen_klein.htm

 

[Adrien C]

What the hell are you talking about?

 

[sinkoman]

What the hell are you talking about?

A Klein Bottle is a bottle in which the outside is the inside.

It's a nonorientable, two dimensional, zero volume bottle.

 

[15357]

Uh.... why would you want to purchase it?

 

[Adrien C]

I thought you wanted to buy some ACME gadgets to catch a road-runner.

 

[sinkoman]

Uh.... why would you want to purchase it?

'Cause they're cool.

 

[Ikerous]

Those are both really expensive for something so.. useless XD
You could just buy a bong for that much
And at least you can use those for something

 

[xcellerate]

"Picture a bottle with a hole in the bottom. Now extend the neck. Curve the neck back on itself, insert it through the side of the bottle (a true Klein bottle in four dimensions would not require this step, but it is necessary when representing it in three-dimensional Euclidean space), and connect it to the hole in the bottom."

 

[gick]

That makes my brains hurt D: