The videos this week are very one sided...

@refreshfr

9 жыл бұрын

Slartibartfass Nice pun :)

@lizardbaron3727

9 жыл бұрын

*badum tsss*

@cai6972

9 жыл бұрын

Ummm...

@wilfreddv

9 жыл бұрын

Lol creator of the fjords!!! XD

@Falcrist

9 жыл бұрын

Slartibartfass At least they aren't two edgy. (I'm not even sorry)

Easy, it's under Cliff's house. You need to ask him.

Apparently all topologists are obsessed with ants.

@azeliaspank

8 жыл бұрын

They are

@gonzostwin1

8 жыл бұрын

there are so many ants

@NoriMori1992

8 жыл бұрын

I guess they're easy to picture walking along grids (Langton's ant and other "turmites"), ropes (ant on a rubber rope paradox), Möbius bands, Klein bottles, etc.… ;D

@jm9841

7 жыл бұрын

Without ants (clean up crew) The world would be too toxic to live in. Some say 3 -7 days idk about that but if you think ants aren't necessary to your world well do your own research. Add bee's too unless you want to run around with a paintbrush pollinating flowers.

@TeapotMan-sz3us

6 жыл бұрын

J M There exist other pollinators than bees and a bee is an invasive specie in most ecosystems (because it was brought by man).

Klein Bottles just aren't the same without the Klein bottle guy.

@aldobernaltvbernal8745

5 жыл бұрын

Yeah...

@michaelgadaloff2813

5 жыл бұрын

B i

@Xpegasu

5 жыл бұрын

I miss him. Wish he was my uncle.

@ionlymadethistoleavecoment1723

5 жыл бұрын

Did something happen to cliff?

@rainworldenthusiast

5 жыл бұрын

HIS NAME IS CLIFF AND HE IS A TREASURE

The "Klein Bottle" that we can hold is really only the 3d shadow of a 4d shape. Think of it this way, if you had a flat drawing of a Mobius strip, it would appear to "go through itself" in order to connect backwards with the other end. That drawing would only be a 2d shadow of the 3d shape that the Mobius strip is. The Klein bottle as we can see it passes through itself. In the 4th dimension it would be a single uniform shape like the Mobius strip. Think of the Klein bottle he's holding as a 3d drawing of a 4d shape.

@Ooger77

6 жыл бұрын

Fantastic! If you didn't say it, I was going to.

@davyboyo

5 жыл бұрын

I was about to ask the question that you've answered here. Interesting how a 2 dimensional 1 sided object requires at least 3 spatial dimensions, and a 3 dimensional 1 sided object requires 4d and so on.

@jasonchangdalekrule

5 жыл бұрын

@@davyboyo I would actually suspect that there is no 'so on', since klein bottles have no edges to speak of.

@davyboyo

5 жыл бұрын

Jason Chang are you saying the Klein bottle is sort of the upper limit for this type of structure?

@cecil6365

4 жыл бұрын

No. Cows are purple.

The biggest question is if someone can find a groß bottle.

@befelmi999

9 жыл бұрын

ba dun tsssss you're so funny -.-

@Henrix1998

9 жыл бұрын

Top kek but not fun

@Attelino

9 жыл бұрын

Or it you can evolve your klein Stein into a Georok.

@saber1epee0

9 жыл бұрын

This. So much this.

@riccardoorlando2262

9 жыл бұрын

Mitch Wiedermann Ewww... groß.

worst invention ever: mobius strip seatbelts

@norafaithrainbow1074

6 жыл бұрын

Yes

@DeathBringer769

6 жыл бұрын

Yup, when you have a damn seatbelt that is always twisted at least 180 degrees somewhere no matter what you do... gets annoying sometimes, lol.

@theclimbto1

5 жыл бұрын

In the 90's it seemed that is how mine always turned out anyways.

@hnnagarathna7286

3 жыл бұрын

U thought about it 🥴🤣🤣🤣

@kerimbasic2795

3 жыл бұрын

You mean regular seatbelts?

If a Klein bottle has no Volume, are you allowed to take one with you in a plane???

@TheRealFlenuan

9 жыл бұрын

xD

@TheRealFlenuan

9 жыл бұрын

BloCKBu5teR Sure, if you live in 4 spatial dimensions!

@Garbaz

9 жыл бұрын

***** Why not? A 4D plane for 4D business men? Don't see why this would be useless.

@iabervon

9 жыл бұрын

BloCKBu5teR Sure... but you can't have any liquid inside (because it doesn't have an inside).

@nekoblitz

9 жыл бұрын

iabervon But you can have liquid in the outside :)

19:58 disney should try making klein bottle roller coasters. Yeah, there's an idea.

@sebastiaanwolswinkel3648

8 жыл бұрын

At the end of the ride the train would be hanging upside down, and hard to get out of.

@guyclykos

8 жыл бұрын

Sebastiaan Wolswinkel the train has to go again until it's right side up

@Automatik234

8 жыл бұрын

+theguyfromtheinternet 2 rides for 1... Yay!

@dommorris8163

7 жыл бұрын

do you know how rollercoasters or Klein bottles work?

@guyclykos

7 жыл бұрын

Dominic Morris any further insight to the idea?

As a chemist this video on chirality is so beautiful, and in fact highly applicable to the so-called 'real world'. Indeed there are many molecules with built in chirality analogous to these mobius strips, and they can show many amazing properties. Chiral molecules (which we call enantiomers) are denoted R and S depending on their 'handedness'. The interesting thing from a chemistry perspective is chemically, the R and S molecules behave identically. In virtually any chemical reaction/interaction, the R or the S molecule will behave in the same way (the only exception is if there is another chiral influence in the system, which will in turn interact differently with the R molecule compared to the S). The cool thing here is if we move to the analogous molecular Klein bottles, where we now have a single molecule with two built in chiral components (termed 'diastereomers', which can adopt configurations of RR, SS, RS and SR), these molecules behave differently in virtually any chemical system, regardless of whether the external influence is itself chiral or not. I'm not an expert maths or topology, but I would be fascinated if someone who is would be able to tell me if these '4 unique' Klein bottles are in fact analogous to the 4 typically unique configurations of diastereomers.

Oh come on, that's such a one-sided view of a mobius loop!

@aaronlaughlin2389

8 жыл бұрын

You said it...

@meyakabrown4725

7 жыл бұрын

^_^

@-danR

7 жыл бұрын

Yes, but you must admit he has the edge.

@DeadDoser

7 жыл бұрын

Sokami Mashibe everyone on this comment deserves to die for these puns

@kewldewd8740

7 жыл бұрын

eyyyyy jokes

6:47 "oh surface tension, we meet again old enemy"

@lightsnackproductions918

7 жыл бұрын

AlexLun lol I always have that same problem when I pour water.

I just realized that I once made a klein bottle out of a slinky.

@jacob1983runner

2 жыл бұрын

Same😐

The reason the Stein is smaller is that it's a Klein Stein, and "klein" means "small"

@gerstensaft2936

9 жыл бұрын

Nillie "Kleinstein" is the german name for "Geodude". That was a bit confusing :D

@ragnkja

9 жыл бұрын

Syd Goat A bit of nitpicking: all nouns are capitalised in German, and it's "ein kleiner Stein", not "einer klein Stein" - the "-er" is moved to the adjective, and it's always just "ein", rather than "einer" when it's an article and not a relative pronoun.

@Yotanido

9 жыл бұрын

Nillie I've also only ever heard english speakers call that "Stein". A Stein is a stone. That thing is called a "Krug". (May be different in other parts of Germany, though. I'm from Bremen)

@ragnkja

9 жыл бұрын

Syd Goat Chinese? I'm Norwegian, and my back is turned in the picture to display the embroidery on my jacket.

@oO_ox_O

9 жыл бұрын

Yndostrui ein Humpen!

So Mario Circuit in Mario Kart 8 is essentially a Mobius Band? That's really cool! :D

@buddyclem7328

5 жыл бұрын

Also in Mario Kart DS.

if you had posted this a day earlier, i would have had enough time to put it into my essay on multiple dimensions and non-oriented surfaces...

@TheRealFlenuan

9 жыл бұрын

Azivegu If this video taught you anything, then you clearly weren't knowledgeable enough to write that paper anyway.

@benbashor9168

9 жыл бұрын

The Real Flenuan jeez dude

@Azivegu

9 жыл бұрын

The Real Flenuan well, I can now calculate the volume of any n-dimensional object, so I think I know a bit about it. It would have been nice to have seen this earlier as it ties in really well with by part about the Möbius strip.

@TheRealFlenuan

9 жыл бұрын

Azivegu There is no way you learned that from this video.

@Azivegu

9 жыл бұрын

The Real Flenuan nope, I learnt that on my own.

Why did the chicken cross the road? - To get to the same side!

@flyingtawater504

6 жыл бұрын

Oh dam

@frankzaffuto3670

6 жыл бұрын

* why did the chicken cross Möbius St? *

@Polandball1138

5 жыл бұрын

To get to Klein Groß house

@foreverchicsavvy2454

5 жыл бұрын

😂🤣

@AveGoddess

3 жыл бұрын

🤪😝That's Funny...

Why is that people who study Mobius bands and Klein Bottles turn out to be really cool dudes?

And he made a paper about it to clear it up? That is awesome, we'll need it when we learn to travel to the fourth dimension ;)

Haha waldo in the thumbnail "The SEARCH for..."

Can you make a video about turning a sphere inside out? That stuff keeps showing up in my suggested videos but I would like it to be explained properly. EDIT: Interestingly.

@AdrenalineL1fe

9 жыл бұрын

HowToWinGames i watched that one and it's explained quite properly

@jordanjohnson714

9 жыл бұрын

Link? I want a proper explanation too.

@ChompNom

9 жыл бұрын

The one with a man's and woman's voice? I think they explain really well but the video is extremely lengthy

@AdrenalineL1fe

9 жыл бұрын

HowToWinGames shame on you. Decide what do you really want: a proper explanation or a short one

@cai6972

9 жыл бұрын

Cut an orange in half take out thejuice stuff and turn the two hemespheres inside out then connect then

Have always found these to be awesome topological objects. It's so cool seeing the projections of them in three dimensions.

These days we know those are 3D printed, but in the 80s and 90s, these shapes would blow peoples minds, based on how plastics were moulded.

17:16 "This thing" -> *fart* Yeah, that thing...

More videos on Klein Bottles: bit.ly/KleinBottles

@abu3qab

9 жыл бұрын

***** I am not very familiar with the topic. But I don't see how it is possible to do that if the Klein Bottle has no edges. We cannot really connect two of them. ( I think).

@jreinhart3382

9 жыл бұрын

***** Well, the intertwined handles wouldn't change its topology because in "math world" they can pass through each other just like how the handle passes through the body without creating an edge, As for connecting the bottoms, I'm not sure what you're describing. Maybe this is what you're hoping for en.wikipedia.org/wiki/Klein_bottle#/media/File:Science_Museum_London_1110529_nevit.jpg

@abu3qab

9 жыл бұрын

Jonah Reinhart I guess he means that we could take two Klein Bottles and cut them from the parts where the handle intersects the surfaces. And make the handle of the first go through the bottom of the other one, and the same for the handle of the other. Not sure what that would look like though. P.S. The photo you put is glorious.

@srabbelier

9 жыл бұрын

Numberphile So how does he make these various Klein bottles? 3D printer?

@srabbelier

9 жыл бұрын

***** no, I mean Carlo. How does he make the plastic ones?

That is not coffee, that is tea: Greetings from Finland.

@RFC3514

9 жыл бұрын

SquidCaps Remember, what Americans call "coffee" is known by most of the world as "dishwater".

@neilmcmahon

9 жыл бұрын

RFC3514 LOLO, exacly.. like lots of American things not meeting standards elsewhere, e.g chocolate, cheese, wine, beer, cars etc...

@nimrodery

9 жыл бұрын

Neil McMahon ...whiskey, movies and TV shows, McDonald's, foreign aid which is often just plain old cash which I don't see anyone saying no to...

@PointNemo9

9 жыл бұрын

nimrodery Three of those things are great.

@thulyblu5486

9 жыл бұрын

SquidCaps What if I told you that coffee is tea made from roasted coffee beans -mindblown- ;)

4:45 Kleinstein. Found in every Cave in the German Pokémon Translations

Damn that's some watery coffee

@Sockem1223

4 жыл бұрын

It's Brandy 7:00

@Incognitus30

4 жыл бұрын

@@Sockem1223 no, its coffee, the idea is to get all that coffee on the outside fist, and then empty the inside and fill it with brandy

@youngflamer1667

3 жыл бұрын

It is tea.

Got the Klein Bottles, now I see I need a 3D printer!

ein Klein Stein?

@crazee303

9 жыл бұрын

magicalpencil Albert KleinStein?

@thulyblu5486

9 жыл бұрын

magicalpencil klein/kleiner translates to 'small'... so if he makes this smaller, he'd have: ein kleiner Klein Stein

@JimboJamble

9 жыл бұрын

Nein!

@enricodemeo

9 жыл бұрын

magicalpencil Wie das Pokémon, sehr nice :D

@tpat90

9 жыл бұрын

Thulyblu Klein Stein (Kleinstein) is german for Geodude

Carlo's vids on either weird topology or higher dimensional fancyness are amazing.

Welcome to Kleinphile, the channel all about Klein bottles.

I love the way he says 'liquid'. "Leek-vid"

@NoriMori1992

8 жыл бұрын

Lik-vit. :D

@trocer2235

8 жыл бұрын

german

@martinzihlmann822

6 жыл бұрын

swiss-german to be specific

Great video. Many thanks to Brady and Carlo. Keep making videos on topology, it's a very interesting area of mathematics that brings the numbers and the reality together in a really cool way.

I love professor Séquin's lectures, he is a really great speaker and topology is great for this channel.

I like how he accidentaly spilled like half a cup of coffee on the ground and just let it soak it in.

That has to be the weakest "coffee" on the planet.

@dylanactual

8 жыл бұрын

It's mostly brandy. He lets it slip at 7:00

@J7Handle

7 жыл бұрын

Um, no.

@gregorymaynard3089

6 жыл бұрын

I'm pretty sure its tea but I could be wrong

@sansthepungeonmaster5864

6 жыл бұрын

TotalNekro it may have been brandy

@n3lis94

4 жыл бұрын

@@dylanactual No he doesn't?

6:24 I can't quite put my finger on it, but… * puts on detective hat * …something about it tells me that wasn't coffee…

@MrCubFan415

5 жыл бұрын

Tea, maybe?

@primitivecereal

4 жыл бұрын

The Real Flenuan brandy lol

I love this guys sincerity and teaching method with words. Would make a great teacher.

This is one of my favourite Numberphile videos so far =)

So watching this, naturally my first thought is I NEED A KLEIN STEIN! But how on earth do you clean such a thing? :P

@UriGerhard

9 жыл бұрын

Jakob Jakobsen Easy, there's one side less to clean than a normal Stein

@camicus-3249

9 жыл бұрын

Jakob Jakobsen Fill it with water and... liquid sponge and towels?

@JGMeador444

9 жыл бұрын

Jakob Jakobsen Magnets would probably be your best bet.

@thulyblu5486

9 жыл бұрын

Jakob Jakobsen Break and clean the shards

@UriGerhard

9 жыл бұрын

Joseph Meador Either ferrofluid with soap or a magnetic sponge

Can a German company please produce these little mugs and place pictures of famous mathematicians on them? Because I'd really love to buy one for myself and a friend and share... ...mein und dein klein Einstein Klein Stein

@edtordo7512

8 жыл бұрын

Why a German company?

@shvrkkii

8 жыл бұрын

Edward Überfluss"mein", "dein," and "klein" aren't exactly an English word.

@bentleyboy72

8 жыл бұрын

why would you come up with a business idea and then give it away to the public like you just did? you literally couldve been a millionaire if you werent a lazy idiot.

@shvrkkii

8 жыл бұрын

FishAntsPlantsAndDave Because I'm just a high school student with no intention of going into the glass blowing industry over a series of rhyming words :/

@shvrkkii

8 жыл бұрын

How else do they make glass mugs.

I love all the 3D printed shapes this guy has. They are all so beautiful. I’d like them just hanging around. They are so beautiful

5:08 I realize the potential for the KleinStein is that you could fill the outside with water, stick it in the freezer, and once it's frozen, you fill the inside with beer. Now you have ice cold beer that doesn't get watered down, but as the ice melts into water while you're drinking your beer, you now have a little bit of water you can drink to counteract the beer, because smart people drink responsibly.

21:17 I could've sworn I heard crickets in the background after he finished that sentence! xD

400 years ago the Puritans would stone to death anyone found in possession of a Klein bottle.

@CraftQueenJr

5 жыл бұрын

vanhouten64 source?

@buddyclem7328

5 жыл бұрын

@@CraftQueenJr Joke? If you were also joking, then well played.

If you start with a square sheet, and you orient both pairs of opposite edges in parallel, and join them according to those orientations, you get a torus. If you orient one pair of opposite edges in parallel, and the other pair in opposing directions, and join them according to those orientations, you get a Klein bottle. [You can see this on the leftmost figure in the frame at 22:55.] But if you orient both pairs of opposite edges in opposing directions, and join them according to those orientations, you get a cross cap. I read this in an early Mathematical Games column by Martin Gardner, in Scientific American, but I've never seen a cross cap actually realized. What does it look like? It obviously must be self-intersecting in 3D. BTW, there's a neat way to visualize a non-self-intersecting Klein bottle in 4D, that might be a bit too hard to describe here, but maybe I can give it a go. If you conceptualize 3 dimensions as being drawn on a 2D sheet of paper (a common occurrence, so this should be reasonably easy), then just start drawing the bulb portion, continuing into a narrowing neck, which terminates as an open end. On the bulb part, you continue the drawing to show it 'folding' into itself, and then terminating in another open end, inside the 'bulb.' OK, now cut out that drawing, and bend the neck end back and over the bulb, and connect it to where the 'infolded' open end is. The idea is that the actual 3rd dimension (above the paper) is representing the 4th dimension, and you can make the tube you're bending, appear in the 3D space represented within the paper, anywhere within that 3D space, so you just make it 'pop' into there where the infolded part of the bulb is, to join them together. And voilà! - A non-self-intersecting Klein bottle!

ahh i love carlo sequin, his twisted torus video is legendary

I want to know what happens with you join the edges of two Möbius bands that are each twisted three times. (Three half-rotations). Would it still form a regular Klein bottle?

@OfficialKruz

9 жыл бұрын

jackofallspades98 Yes, because those Möbius bands still have only one side each. His version of the figure eight klein bottle consisted of two Möbius bands with 3 half turns, essentially. Perhaps the klein "knottle" is the same way, I would assume so.

@naphackDT

8 жыл бұрын

+jackofallspades98 A more important question is what happens when you take two Klein bottles and glue their surfaces together.

@velazquezarmouries

6 жыл бұрын

jackofallspades98 what about with 3 möbius strips

@violetlavender9504

6 жыл бұрын

naphackDT you'll need more dimensions for the super-Klein

I want a Klein Stein now...

Genuinely brilliant. Great stuff from the good doctor.

The best Klein bottle video I have ever watched!

You figure someone working at a university would have some better coffee. Damn that looks more like tea then coffee.

Is this the guy who bought the first klein bottle for 100 bucks? :D

@E1craZ4life

8 жыл бұрын

+Luka Kočevar No, that was Ken Ribet, the guy that proved the link between the Taniyama-Shimura conjecture and Fermat's Last Theorem.

@E1craZ4life

8 жыл бұрын

+Luka Kočevar No, that was Ken Ribet, the guy that proved the link between the Taniyama-Shimura conjecture and Fermat's Last Theorem.

Thankyou so much for clarifying around the 4:00 part the differences between a mathmatical 4D klein bottle and a real physical klein bottle.

I LOVE IT! You have taught not only mathematics but also sociology in your approximation of understanding a demographic of those who have the ability to understand the Mobius stripe and the Klein bottle, surely with your effort multiplied we can reach a more reasonable 1 to 10 ratio than 1 to 100! I believe it can be done eventually. Great presentation.

Where can I buy the Klein stein?

@KasabianFan44

9 жыл бұрын

Thanks guys :)

@Pandsu

9 жыл бұрын

***** You can just catch one inside Mt. Moon

@yourbabyscorpse

9 жыл бұрын

Pandsu Yo In almost any cave area, really.

@zwegertpeter8770

9 жыл бұрын

yourbabyscorpse That "Pokeman" reference... made my night!

@HermanManly

9 жыл бұрын

***** this is hilarious because Kleinstein is the german name for the Pokemon Geodude

people with ocd will go insane watching this video

@qbwkp

7 жыл бұрын

"HE LEFT THE COFFE ON THE FLOOOOOOOOOR"

Thank you for explaining so well a very hard concept, you`re a great teacher !

I can’t imagine the impact of 3D printing on fields in mathematics. Up until it’s advent, digital computer models have been great for modeling all kinds of structures, but being able to take that into a real, material object, without need for special machining? It’s gotta be a huge blessing, I’d imagine.

How would one wash a kleinstein?

@aurelia65536

8 жыл бұрын

Pour soap in? I dunno

@WeedMIC

8 жыл бұрын

about as easy to clean as a key hole

@meyakabrown4725

7 жыл бұрын

lol

@jm9841

7 жыл бұрын

With isopropyl alcohol like he suggested in an earlier vid and also the same way you can clean glass on a fish tank without having to stick your hand in it. Magnets. The inside is scrubby but doesn't scratch the glass, the outside is soft as it is just there to hold the scrubby magnet on to the glass. It is in his video too. FWIW

@dap5790

7 жыл бұрын

I was wondering the same thing. It looked like a great bacteria incubator.

It actually seems a little straightfoward in hindsight why the 4th klein bottle is in a sense a mirror image/identical to the first type after following his methodology. the first is a combination of a left and a right mobius, the second is a combination of two right mobii, the third is a combination of thwo left mobii and the fourth is a combination of a right and a left mobius, it can be though of as different, but it is essentially the same in a way. do I have this right?

@Metaknightmare217

9 жыл бұрын

pj I would like to know this, too.

@morphman86

9 жыл бұрын

pj That sounds about right. The first and fourth are mirror images, so they are different, but when presented in their "unpainted" form, they look identical.

@TheJayman213

9 жыл бұрын

pj Möbius is a German name, not a Latin word and has no plural, especially not a Latin one.

@eideticex

9 жыл бұрын

pj That got me as well. I thought of binary in this case. When you have two bits, you can represent 3 non-zero entities and one zero entity. I was thinking the reason that a 4th was so hard is because it would be the zero in the mobius set.

I like this guy. I could listen to him talk for hours, for some reason.

I started out searching what a klein bottle is. Now I can't stop watching these videos

That was some nasty looking coffee.

That can't be coffee, surely.

I feel like Cliff Stoll is the Topology Gandalf, and Carlo Séquin is the Topology Saruman

Heard about the Klein Stein and just had to get one. Thank you for the information.

Klein stein sounds like Einstein.

Ok, so I wonder, is there an object, like the mobius band and the klein bottle, that is based in 4 dimensions? Let me explain. in 2d: draw a 2 lines parallel, and connect the ends of the lines to each others beginnings, without crossing: you can't, but a mobius band (3 dimensions) does exactly that. in 3d: take a hollow tube, and connect the end to the beginning, in a way that the outside of the tube, becomes connected to the inside of the tube: you can't, but a klein bottle (4 dimensions) does exactly that. so, what would the 4 dimensional step be?

@Ixions

9 жыл бұрын

Navnik BHSilver for your first example you have an edge you are connecting to form the Mobius strip. The second example you are connecting the edge to form a klein bottle. I'm not sure about the next step but I think you're all out of edges...

@wesofx8148

9 жыл бұрын

Navnik BHSilver Well, my guess is that you would have a torus where the inside surface was connected to the outside surface, leaving you with no edges, and no faces. But take that with a grain of salt.

@NavnikBHSilver

9 жыл бұрын

Willy Goat Isn't that in effect the same as a klein bottle? After all, a torus is a 3d object.

@NavnikBHSilver

9 жыл бұрын

Willy Goat hehe, we'll find out some day, perhaps when we master quantum physics, and therefore are able to access new dimensions... possibly through the concept of time... space time continuum...

@baileybussiere5216

9 жыл бұрын

connect the faces of two klein bottles.

Séquin always does great videos!!

Really enjoyed this

how to clean that cup???

11:05 I'd call that a Klein Pretzel rather than Bottle.

More topology!!! This is good stuff, Numberphile :)

That was the most lack-luster end to a video ever... but I still loved all the explanations!

17:17 was that a fart? :P

@Automatik234

8 жыл бұрын

Damn! Waized for that the whole video! Finally found it!

@Alex-oz9eh

7 жыл бұрын

simply amazing

@bethisgg5653

7 жыл бұрын

you smelld it.

what if i were to sew two klein bottles together in the fifth dimension? because a klein bottle is simply sewing together two mobious strips in the third dimension.

@reaganbuzek5411

8 жыл бұрын

Stop that, youre making my brain implode

I liked a lot to hear this mathematician!

Understanding that video about turning a sphere inside out, helps with this.

this guy looks like if darth sideous was a jedi instead of sith

Okay, so if you take two Möbius bands together you get a Klein bottle, and the dimensions needed jumps from 3 to 4. But if you take two Klein bottles, and 'glue' the two sides together, what shape would you get? And how many dimensions would it require? Furthermore, can I keep doing this forever?

@Solrex_the_Sun_King

5 жыл бұрын

Aaron Liss Yes, you can keep doing it forever. However, you cannot comprehend it. I can barely comprehend a 4th dimension, and I have known about it for forever. I understand it, but I barely comprehend it.

Spilling like a pro!

0:01 did anyone realized that was supposed to be some poem/rhyme? Awsome one btw

That's some weak looking coffee lol

@NU-ph1zx

9 жыл бұрын

***** Was he kidding, because my tea is darker than his coffee.

@decearing-egg

4 жыл бұрын

@@NU-ph1zx it was mostly brandy lol

that's some manky coffee. Now I know why they complain about funding.

I love his voice and that poem was awesome

I just love the way he says "single sided surface" :)

This is interesting, but it makes my brain very mad.

Wouldn't it be better if the Klein Stein's handle went the other way (i.e. the bottom end of the handle to the inside and the top end to the space between inside and the outside)? I'm quite certain that much less air would be stuck in between the walls...

@E1craZ4life

8 жыл бұрын

+KasabianFan44 But then the liquid couldn't pass up the handle.

@KasabianFan44

8 жыл бұрын

***** Yeah I'm sure it would

@E1craZ4life

8 жыл бұрын

***** Because there would still be air in the outer chamber, and the liquid would have to flow against gravity to get there.

@KasabianFan44

8 жыл бұрын

***** Oh yeah, I haven't thought about that... lol

@E1craZ4life

8 жыл бұрын

***** You'll probably need a piece of polyurethane tubing to bypass the trapped air, either through providing an exit for the air or an entrance for the liquid.

Such a soothing voice

HILARIOUS - "you're enjoying yourself very much with what's on the inside"

7:58 Calvin Klein Underpants.

When he spills the liquid it makes me cringe.

@buddyclem7328

5 жыл бұрын

Same. I used to be a janitor.

Just had my oral exam in differential geometry last week. This gives me horrible flashbacks. Thank god that's over!

This video brings back nightmares of my topology class. I never had to study as hard for anything else in my life as I did that class.

when reality is too boring

what happens if you fill a *regular* klein bottle with water

@DeadDoser

7 жыл бұрын

TumbleGamer the bulb fills with the liquid. it's actually a fairly efficient way of storing liquid with out spilling

@sadhlife

6 жыл бұрын

it will act like an open water bottle. you can flip it twice to spill the water.

This guy is awesome. You need to do more videos with him.

I love the fact that the answer to the 4th Klein Bottle was so simple