Klein bottles: you know a glass vial is metal if it manages to defy everything.

[TeslaCoil]

thats a pretty cool looking water balloon.

[Ad Bot]

[Nexus]

But since it is all one sided, doesn't that mean everything is on the inside of it, including the entire universe?

It is a 2D surface that doesn't completely enclose a volume
Of course it doesn't have an inside an an outside.
The best you can do with a 2D surface is say whether a point is above it, below it, or on it, but that is only when the surface is essentially a height as a function of x and y.  Vertical tangent planes kinda mess that up.
There is nothing mathematically revolutionary about this.  If you want to go ahead and say that it goes forward and backward through a 4th spatial dimension to avoid intersecting itself, then fine whatever, that would still be no difference from 3D space since it is still a 2D surface.

Modern math and physics has no problem describing and manipulating such shapes.

[RagnaTheBroedge]

???

[Doomonkey]

???

If you trace your finger around side 1 you will eventually arrive at side 2, meaning they are the same side.

Look up a Möbius strip and then make one out of paper. It will help you understand.

[RagnaTheBroedge]

this is hard to do in two dimensions


in any case i don't see what's so incredible about this: it's a fancy bottle

[SeventhSandwich]

The red line crossed over the hole in the bottom.

In any case it would go inside.

[Nexus]

I think even cooler than the klein bottle is the way you turn a sphere inside out without folding it

[.:FancyPants:.]

you guys aren't thinking about it hard enough if you don't get it.
try imagining that the bottle is solid glass, instead.
now it's impossible.

[Man 2]

I kind of want to be hipster and come into school one day drinking water from a Klein bottle. Lol

[Gojira]

I kind of want to be hipster and come into school one day drinking water from a Klein bottle. Lol

too bad it's impossible

[.:FancyPants:.]

I kind of want to be hipster and come into school one day drinking water from a Klein bottle. Lol

go out to a store and buy one, then tell me how that goes.

[Man 2]

too bad it's impossible

...
Mother forget.

[Nexus]

you guys aren't thinking about it hard enough if you don't get it.
try imagining that the bottle is solid glass, instead.
now it's impossible.

Like filled in completely instead of just the walls of the bottle?
No, it is a 2D surface.  Take a 2D plane and try to "fill the inside" with anything and it becomes obvious why
1. It won't work
2. It is not confusing/paradoxical in the slightest

You don't need this fancy shape for it to be impossible to fill it in.

[Cucumber!]

too bad it's impossible

That's what makes it so obscure!

But oh my god this is fascinating, as well as the circle being turned inside out. However, with the circle, it cannot work with physical ball though. I remember seeing a long video series about it...

Anywho, do they sell those but without the physics defying part to it? :P

[.:FancyPants:.]

what i mean is this:



the bottle enters itself, but since the object has a definite space inside of it, it must be empty. which means the portion inside of it must be solid.

but that can't be true, because the portion inside of it is connected to air, so IT must be hallow. yet the inside holds a liquid, so it can't be solid either!