The Klein Bottle

The Klein Bottle is a surface on which you can move from outside to inside without crossing an edge. This shows that inside and outside are not universal concepts.

In this movie Klein's Bottle is constructed by gluing an rectangle along the edges. Then the bottle is cut up again to yield a Moebius-strip.

This Video was produces for a topology seminar at the Leibniz Universitaet Hannover.

http://www-ifm.math.uni-hannover.de/~fugru/?topologie_teil1

Category:

Howto & Style

Tags:

• advent
• calendar
• geometry
• topology
• mathematics
• moebius
• strip
• klein
• bottle
• glue
• bothmer
• fugru
• cg

[razerburst]

is this patched yet?

[WannabeWeegee]

I like this thing, its like a hallway that turns into a room that is in another room which leads to a hallway which turns into a room that is in another room which leads to the very same hallway that turns into the room that is in the other room containing the very hallway that leads to the smaller room in the bigger room.

[Straitpunk]

I"m so baked right now

[IamAtree000001]

My mind was just dominated

[SalimSupreme]

Once you fall in...

[random12331233]

@razerburst u made my day, xD!

[chadd990]

@CuttlefishPi

right, yeah I seen the carl sagan video on that. So when you told me that, I instantly knew what you were talking about. that makes so much more sense that other explanations.

[CuttlefishPi]

@chadd990 Think of the shape of a cube drawn on paper, lines on the paper cross each other in a 2D state where the same lines in a 3D state do not. In the same way where the bottle intersects itself it theoretically would not in a 4D state. So simply put, we can not conceive the actual topology from our current perspective.

[chadd990]

@CuttlefishPi

oh. thank you. people keep replying to me trying to explain it, but your explanation is simple and to the point. seeing as how my question is the top rated comment, I guess I should delete it, so people don't feel obligated to answer it anymore. thanks.

but one more question, since its 4d, doesn't that technically mean that it is possible in another dimension?

[CuttlefishPi]

@chadd990 It is the 3D shadow of a 4D object.

[razerburst]

@Twiztified LOL

[bigbaseballs1125]

@razerburst Thanks for the laugh.