Name: 古いジーンズからクラインボトルを作る方法 - Numberphile (How to make a Klein Bottle from an old pair of jeans - Numberphile)
Uploaded: 2021-01-14T10:15:29.000Z
Duration: 4 min 36 s
Description: VoiceTubeの動画で発音を聞きながら英語表現を覚えよう！学べる英語：

Klein bottles fabric climb balls fit on your head.

If you start taking this inside out, I notice.

So you pull it inside out and keep going.

Eventually you get a shape that remember, this is same same bottle where the fabric is going in one direction and the other direction it's There's a circular hole where my finger touching this part of the manifold is going left.

This finger is going to the right, so there's a round hole around here.

Okay, I looked at that and I said, I'll bet that that's related to what in topology is called across Cap.

I looked at and I said, OK, that's nice to know.

So one day I'm over here doing the laundry free.

So I'm doing the laundry one day, and I were I reach in and pull out my genes.

Well, my jeans see a lot of service and I pull it out and I look a TTE the pants like and well, if there's a hole in the knee, I know that I'll keep wearing it.

But the pants leg has pulled through its hole so that it goes up along here and down long here.

If I had it the right way out, if I hadn't been pulled inside out, you'd be Justin ordinary pants leg with a hole in it, but popped out of the dryer looking like this when I looked at it and said, Wait a second.

This shape here where one side is going this way.

Okay, so I said, Hey, I could probably make a clang bottle out of this pants leg.

All they have to do is cut it across here and bring it around so it together.

Okay, so I start with this cut off a leg right there.

So now we have a pant leg with a hole in the knee in this funny shape.

I think it's a total logical cross kept I have to do is bring this around into a fell Seem to get this.

Have a This hole has gotta be the same if this whole this pathway up here is the same as this pathway up here.

This is a denim Klein bottle that you can make and the way to make it.

If you don't want to use Denham, is you say OK, find a shirt or a pair of pants so you have a shirt that's, you know, no your usual J random shirt and start by cutting the sleeve off.

No, I have the ingredients for a climb bottle.

There's the whole that was in the sleeve.

I know have that interesting cross cap going up this way.

Bring these around so that the shoulder part is sewn to the cuff and that'll make declined bottle.

If you want a Klein bottle of an old shirt, you don't have to come to klein bottle dot com and buy this.

Save me time and recycling old shirt into a total logical manifold.

You can get to Klein bottles out of every old church.

You got another pair of Klein bounce out of every pair of pants.

 And, yes, there are Klein bottles in here. 

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古いジーンズからクラインボトルを作る方法 - Numberphile (How to make a Klein Bottle from an old pair of jeans - Numberphile)

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