Name: Neon Knots and Borromean Beer Rings - Numberphile
Uploaded: 2020-03-27T18:39:21.000Z
Duration: 8 min 57 s
Description: Thousands of YouTube videos with English-Chinese subtitles! Now you can learn to understand native speakers, expand your vocabulary, and improve your pronunciation...

Okay, So about 30 or 40 maybe 50 years ago, my father, who's a bartender, brought for me.

Neon beer sign for Ballantine ale and beer.

I mean, if it in yon side been in my attic for decades, you know, there's something cool about the Ballantine logo.

I hold this out of the attic, got a neon sign, transformer up and figure Hey, I got a light this up.

Throw a switch and hot, damn Ballantine ale and beer.

The beautiful thing is this is the neon representation of a baro me in ring.

The cool thing about a baro me in or, as some people say a borough men ring is it's a not that's not a knife.

One circle, another circle and another circle intersect, and you can't tear them apart from one another.

This can't be removed from this, can't be removed from this, and yet they don't even have to touch one another.

As an aside, you can prove that you can't make this out of three.

Perfect circles will intersect these three circles.

Purity, body and flavor are interlinked under over.

It goes under over, over, over, over Under an on.

So it's a projection of the bro me in rings onto the front window of a saloon.

The neon sign maker couldn't make a neon sign that had these correct without pretty much standing on their head.

Partly because making three circles that intersect like this, you can show that they can't be planer circles.

They have to be at some point or another.

Each of them has to be slightly out of the plane, which it's gonna be a challenge for a neon artist.

You can do that because they're slightly out of notice how this guy is out of the plane and this this cheat entirely.

They should really go under in back over and the down.

So moreover, I'd have to do it electrically with three different circuits.

Each ring, of course, would need to be a separate electrical device because these aren't electrically connected.

They're not physically touching one another Here.

I've got every electron going through this letter.

E goes through all three of these almost circles and then continues on to the being beer.

The cheat, of course, is they want it to look like it's right, and that's good enough to attract people to hang out the bait in front of the bar.

Look, look what they've done with letters like the letter A Oilers topology suggests that the letter A should not be a makeable letter.

Happily, people who make me on don't listen to it apologists.

More than that, they don't keep their entire neon sign in to space.

They're perfectly happy to use three space and project their message onto the two space of the window and ultimately onto the two space of our retinas.

Meanwhile, I got this wonderful gift someone gave me.

I realized, Hey, you know, I could use this to attach.

Check this out to glue magnets on two strings so that I can make strings that hook up to one another.

It only becomes not when the ends are connected.

So a mathematical not must have continuity.

This is called the Unknown, Not it's a circle.

You know, it's not obvious now that this isn't a knot, but it is an overhand knot like this.

This is not yet or not, but becomes a knot when I connect the ends together.

Okay, so I made three strings, that of magnets on and I want to make Bora main rings.

Let's go over here, under here, below, here, below, here, above here, above here, above their below.

And although it's not as beautiful as the Neon, not here is a Baroni in ring over, under, over, under disguise, over under, over under this guy in the purple one over, under over under.

Is these air completely linked with one another?

But disconnecting anyone makes everything fall apart, so I'll disconnect just the purple and the other two, although still tied to one another, fallout.

The bro me in rings require each other in order to form these links.

If you can find a glue gun, a couple of magnets and a couple of pieces of string, you've got it made.

There's there's all the ingredients that you need to explore, not theory.

But meanwhile, I'm saying, Well, I'm playing with these knots.

I can look over at the at the knots of neon from a beer company.

Well, I said over to the glass shop, and I say, Oh, I'll make a knot out of New York.

My friend Lucas Clark makes a neon not which, as far as I know, they're kind of rare.

He makes it need not out of out of tubing.

And as you can see, it's not a true not remember how riel knots have to have their ins connected.

So this looks to some people to be a knot.

But in fact it's homey amore fick to a cylinder unless you're electron.

If your electron you have to travel in an entire circuit through a transformer and back the other way.

So Tau Elektron, it's enough to my eyeball.

All he cared about was having fun with his kids.

My father comes home from the bar where he's worked a long time.

So I turned 12 13 years old, were listening the radio together and turned my father and say that Can I have some beer?

The day I turned 18 when I went to the draft board, got my draft registration, came home to dead, can have some beer.

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Neon Knots and Borromean Beer Rings - Numberphile

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