Is It Possible To Completely Fill a Klein Bottle?
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- Опубліковано 11 гру 2022
- I show you a trick to fill a klein bottle and talk about why it has no volume
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I love how the vacuum chamber is the solution to literally all problems on this channel.
When all you have is a vacuum chamber, every problem becomes an atmospheric pressure.
@@LeviathanTamer31 but when you have a gas chamber
When all you have is a vacuum chamber, every problem becomes an atmospheric pressure.
When all you have is a vacuum chamber, every problem becomes an atmospheric pressure.
When all you have is a vacuum chamber, every problem becomes an atmospheric pressure.
I love how he knew using a straw to get the air out, or force the fluid in would have worked fine, but just wanted to use the vacuum chamber.
"You could have used a straw"
"But I want to use the vacuum chamber"
He could have drilled a small hole...
As the old saying goes: "Why suck, when you can mega suck?"
It's the same thing happening, the vacuum chamber is easier and more fun to watch
Or put it in a bathtub fully underwater and keep rotating it...
I loved the conclusion, "so in reality the Klein bottle is just a fancy cup that you need a vacuum chamber to fill up", it all came down to that. The 4d visualization of a Klein bottle is cool though!
You can also fill it by putting a small straw or something similar that can reach the inside of the Klein bottle. Then fill it while not letting it get inside the straw.
The straw allows air to escape and not prevent water or liquid from being blocked by the air in the space.
A cat scan also cuts slice images so doctors can see if we have problems inside.
The 4d visualization of a Klein bottle is from a game called 4d toys
no.. you don't need a vacuum chamber at all.. just a rubber hose
You don't need a vacuum chamber at all. Instead, hold the bottle horizontally under water in a basin, bucket, or sink. Rotate it around its main axis; with each rotation, some air will bubble out.
Thanks for consulting Google 😂 you're so smart.
Just use a regular garden hose intead
@@WTHax Do you actually believe that thinking this out required Google? 😅
Some of us still have functioning brains, and we use them sometimes. I know this may come as a surprise to you.
@@sola7112 they say this because when you look this up the words are exactly the same
What about just putting it at the bottom of a lake, pond, or body of water? So basically, let it stay at the bottom underwater. This way, the bottle will fill up eventually and always remain full.@jamesbeagin9068
Caution: don't leave your klein bottle filled with water for a long time; if it gets algae or other growth on the inside, it's incredibly difficult to clean.
Could you boil vinegar in it to clean it or is the glass too sensitive to heat?
But there is no inside, remember?
@@johnburrill2625 It has an inside the same way as a cup or bottle does.
What about Pasteur's experiment?
@@techstuff9198 i think you missed the point
The vacuum chamber was by far his best purchase lol
I seem to recall he made it but I'm not sure, technically he bought the pump.
P.d. after writing this I realized how snobby that sounds, it doesn't really matter lol.
P.p.d. IIRC he then bought a "silent" vacuum pump but people didn't like it so he resorted back to loudness lmao
@@dagomez99 lol
@Custom Quality The vacuum chamber is the brains of the operation.
“This container has no volume, now let me explain the mental gymnastics required to explain how the object with volume has no volume.”
I love how the vacuum chamber is basically the main protagonist handling every mathematical situation on this channel
So is it just some crazy coincidence that the guy who discovered the Klein bottle just so happened to be named Klein? You gotta admit that's pretty crazy!
Woah! Pretty crazy indeed!
😵
Well if you discovered something yourself, why not name it by yourself!
When your sarcasm is so high that it flew over everyone's heads🤯
@@ZephinorYT Woosh
@@tankman5783 wow, yes it's whacky!
If it can be "filled" with air by being immersed in air, can't it be filled by submerging in water and rotating it about until all the air has leaked out?
Yup, and it's way more practical, albeit not as cool of a science demonstration
Reminds me a legend about Newton who made a big and small holes in his door for his big and small dogs. When his friend asked him wouldn't be easier to make just one big hole Newton replied: "yep, it seems it would".
I mean you could just use a straw to make a tunnel for the air to come out
The air would still leave a pocket at the top.
Or just a tube inside it so air can flow out
The even/odd line cross bit really caught me off guard - I never knew that trick! Great video, explained everything well and kept things interesting
_"Is it possible to completely fill a Klein bottle?"_
It's already _filled_ with air, so yes.
🤓
@@tunizra mfw 🤓
🤓
@@tunizra 💀
Exactly, it's killing me to watch it because I would've tried submerge it in water BEFORE a freaking vacuum machine
- To fill a Klein bottle, ...
- Oh, he's going to stick a vinyl tube in the opening
- Here's a full-blown vacuum chamber
I thought he would just put the whole thing underwater and flip it a few times to get all the air out.
This channel: I bought this vacuum chamber, so I'm going to use the *Whole* vacuum chamber
sameeee
@@billyblobtit5923 Simple and smart.
Nice.
His amazement that he's able to fill a "no-volume" object with a liquid is, according to his definition, as mathematically amazing as me filling a regular drinking glass with water. Both are objects with zero volume.
He says so in the video. 3:36
A glass has a specific inside and an outside.
Yeah, well, it has mass, so unless it's dense enough to generate an event horizon, it has a non-zero volume.
It's bottle bent down into itself, that's all.
Still not sure the point mathematicians try to make with this object, but if a Renaissance glass blower can make it, it won't be violating any laws of physics.
@@yawningpheonixHe's saying that the shape of the bottle has no volume. By definition, it doesn't, which you'd recognize if you watched the video. Of course, if you look at the material the shape is made of, there will be a small-scale volume, but that's not relevant when it comes to discussing the volume of the vessel. If you watch the video, you'll see he explains that the bottle is really only an imitation, since the true version of it exists in 4-D. Nobody once said that this bottle defies the laws of physics, I'm not sure where you got that idea.
@@yawningpheonixit's about the surface shape. Numberphile have some good vids on it.
this is awesome i am working on jewelry casting using a vacuum chamber and this is already helping me a lot to understand my own tools!
I asked for a glass Klein Bottle for my 13th birthday or so, and my parents got me one from the legendary Cliff Stoll. He suggests filling it simply by immersing it fully in water, which will get you most of the way there.
Or you can stick a small hose in it a pressure water through that in the bottle
Yes, submerging is a much easier method of filling a Klein bottle. Completely submerge it, and then just turn and shake all the air bubbles out. You can get 100% fill this way just shaking the bubbles out.
Inserting a tube until it reaches the inside wall, then submerging the bottle, then sucking on the end of the tube until the air is sucked out of the bottle, liquid will fill the vacuum. If the tube is kept at the top of the air bubble in the bottle, all the space will get filled with liquid
Who else hears "Klein bottle!" in Cliff Stoll's voice?
@@Xonk61 Inside wall? Silly billy, the Klein bottle doesn't have an inside or an outside!
As a scientific glassblower with over 45 years at the bench, I used to make these for universitys and museums and also as a gift for some people, that actually looks like one of mine !
That’s so cool!
Wouldn't most Klein bottles look the same?
he stole yours bro
Yeah but can you make a Klein Recycler rig for ripping fat dabs?
That’s so lovely
I actually find this quite interesting and look forward to any more experiments that include a Kleine bottle
Does the three-liter jar have any volume?
I love the idea of using vacuum chamber, although it seems a hose stuck inside would do the job just as well. :-)
That would work to a point but gravity would only fill it so much. To finish filling it, you would need to pressurize the liquid in the tube with a syringe or something and it may need to be submerged to keep air from replacing the volume of the tube. The opposite of a vacuum chamber.
@@heman5954 A hose has pressure. All you gotta do is put the hose in side the bottle and the air will be displaced with water.
My first thought too.
My first thought too. So much easier, and it's something I have at home.
@@heman5954 The hose idea would still work.
1. Use the hose to push liquid into the large portion of the Klein bottle. The air will necessarily rise up through the neck until it forms a bubble on top like the 2nd vacuum round.
2. Next, tilt the bottle until the air is completely out.
3. Finally, fully submerge the bottle and hose in the liquid and pull the hose out.
No more air!
Yes, you can fill it very easily. Instead of tilting and turning, you can use a flexible hose like colonoscopy hoses and before inserting it into a bucket of water, insert the hose completely so that it touches the top of the bottle and one end has a way out, so because The air inside the bottle is connected to the ambient air through the hose, when it condenses, it can be released and the pressure does not increase and remains equal to the atmospheric pressure, and in this way the water easily fills it all.
Or simply submerge it the same way its sumberged in air. May have to move it around a bit to get rid of bubbles but all he needed was a pool or tub and some water. It has volume in the same way a cup does. Idk why he needed to use the klein bottle. If anyone could explain to me why the klein bottle is actually special for this case i would appreciate that because the point of this video definitely alluded me
I don't think you could *completely* fill it, though. Because the hose is inserted, that's some volume being taken up by the hose, and to remove it makes it impossible, I think?
@@zackarysemancik5491 if you remove it while continuing to pour water or whatever it will fill the space with water before it can fill with air
@Marshall Edwards well, if the big bowl type part were at the top for instance, then as you pull the hose out, the water will fall out of the bowl part.
@@gagemiller1604 the point of the video was to talk about curves, volume and a 4d object. the filling of the bottle was just there to get you to watch the video. like he said, the real bottle is in 4 dimensions.
this became my science project, I got an A+:)
Good on you :)
What program are you using to render 4d shapes?
absolutely loved this
Imagine that... for years I've been drinking coffee from a container that has no volume. It's a miracle I'm still alive!
Well.... you can see it like thing: You've been drinking different volumes of coffee from a container that has no volume.
Yeah it has volume it’s just an arbitrary rule in math saying any 3-d shape that is not a closed shape has no volume. Look at cooking with a measuring cup it has the volume on the side but according to this math rule a measuring cup has no volume but what happens when we put a flat 2d shape covering and defining inside and outside it magically now has a volume but we already knew the volume based off the predetermined volume measurements on the side. There is obviously a volume and those measurements on your measuring cup are not arbitrary. This is math trying to put everything into it’s own box when we all know the world is more complex then that.
@@ok.ok.5735 Math generally isn't arbitrary either - or at least it doesn't _have_ to be - it's more a matter of how accurate a model you have for the physical thing you're actually interested in (and as you note, the real world is much too complex to model 100% accurately). For the measuring cup what you're calling "volume" is answering the question "how much liquid can it hold?", while the "volume" of the Klein bottle is instead about "how much can you fit inside it?" which is a nonsensical question unless you first define what you mean by "inside". For us looking at the thing, we can pretty easily make a distinction between inside and outside (and thus measure its volume), but the ant crawling on the surface of it might disagree on that point...
@@fatcerberus math is usually not arbitrary so your 100% correct and said things better then I could write myself. Here as soon as you close off that top now we can say this object has a volume and that volume will be based on standard volume of other measuring devices like a pitcher with volume on the side. This could easily tell us the volume this can hold and that can only be 1 number and it wouldn’t be 0. I’ve always understood that anything that has mass has a volume regardless of definite shape.
@@ok.ok.5735 Mathematics is NOT arbitrary. Measuring cup always has the same volume - the volume of plastic that went into its creation.
I love how sometimes I understand things even less after watching these videos. Iceberg theory and all.
So cool.
not iceberg theory. he just not good at comprehensively explaining things, and often uses bad theory and practice to explain actually simple ideas. Case in point, he used a vacuum chamber instead of just siphoning water into it. Also, not even that good of a vacuum chamber, since a good one would start boiling the water after due to low pressure, and would prove why using a vacuum chamber is not the correct method to fill this vessel. Also, it does have a volume, which is easily measured by submersion. His explanation of what volume is was so flawed. using his definition, a simple uncovered pot would have no volume either.
@john jon Mathematically speaking, an uncovered pot is just an unclosed curve line, i.e. with no volume. In math, a line has only one dimension. He often touched the point but couldn't fully explain it that's why people find it confusing typically in his videos.
@@R0cky0 he just thought it's fancier and eye-catching to say "it has no volume", while it can be put very simply and precisely as "it has no interior".
@@caoqifan2371 that literally means the same thing, volume is just the space inside something
@@____Carnage____ There is some nuance. A Lebesgue measure zero set, an empty set, and a set that cannot be well defined, are different things. What he said is like saying "my laptop has never got covid".
you can also use a small rubber pipe to fill it up and force the air out
I like this one better than your other video; I thought it peculiarly nice the way you showed right in the beggining how the two moebius strips must be connected to make the Klein bottle; this is somenthing very intuitive and rarely shown;
Fascinating! As a child - in the 60s - when my father introduced me to The Klein Bottle along with the Mobius strip and the HyperCube I *never* thought I would see one in the physical world. Well, as you explained it cannot exist in our three dimensional world but it was thrilling to see that bottle in your hand. I was immediately reminded of the first time I read "FlatLand" and imagined what it was like to be that two-dimensional creature being taken up by the sphere into the 3D world !!
I love how you’re totally geeking out. I’m very happy for you. Lol
Omg you mentioning flatland brought me so many memories
@@dellesilla A fellow geek ? LOL
Weren't they a thing back then or what? Like wdym never thought u would see one in a physical world?
What's a hypercube? The tesseract?
I think you can fill it up without using a vacuum. Insert a tube or small hose inside and pump in water to displace the air then just tilt the bottle as you go so air cant go back to the main chamber/the wider portion of the bottle.
Editing this due to another realization that you can do this underwater just to minimize the factor of air going in or do it underwater with high pressure water pump to push air out forcibly
I was thinking the same, but feeding the tube from a funnel positioned above the bottle
a hose and a syringe, done.
But then he wouldn't get to use his vacuum chamber!
Was gonna comment this but youve already pointed out my exact thoughts.
Yeah his solution was needlessly complicated
There is a border between the inside and outside. The inside of the beaker is filled with glass and thus it has topology. You can verify it by measuring the thickness of the glass. The outside is air.
That was amazing to watch, another way it could be filled would be with a tube right
Straw be like: i don't exist i am hallucinations _💀_
Please don't kill my family, my mom took my phone yesterday and I couldn't complete my lesson
@@Illuminex_XD what ?? 💀💀💀
@@Illuminex_XD average Duolingo user
Your guys new path feature is trash. The tree was 1000% better
@@Illuminex_XD stop doing drugs and stay in school kid
There is actually a way to fill a Kline Bottle in any household situation (that is, if you don't have a low Torr vacuum pump). Fill it upright, then invert it in a fluid, snake a hose through the bottle up to the highest point and suck the air from it via the hose. You may be left with a small air bubble but you can work that out by tipping the bottle under the surface of the fluid.
Led me to think
Here we are working as vaccum pump not perfectly though.... But yeah it will work
My first thought was to pump liquid inside
Or use a small pipe to push the water through.
i do not think people like you and i would have a torr vacpump
i would buy this as decoration
man! you`re a genius!!
It's very simple: If you use the "fill" tool, and only it gets filled, it has a volume.
Watch It again
@@pkawaiikawaii6899 no
That's crazy, because a cup has a volume.
@@zzzz-fk8ce Only when you drop them... Otherwise, they're silent...
This guy keeps coming up with cool ways to use the vacuum chamber. I love it.
Yeah but it always seems like he’s dead inside
@@Pyge no but he did try flies
At first I was like, submerge it, then it'll be overflowing.
Later I realized that adding a vacuum chamber is not frivolous because it is awesome.
You Sir, you did that, you did the impossible
This is why the beer in a klein bottle in the background of the beer store on futurama cracks me up
A nice way to describe the 4-dimensionality of the Klein bottle that I've seen somewhere else, is to treat its 3D representation like a shadow of its 4D form, just like a 2D shadow of a 3D mobius strip doesn't fully showcase its properties.
Wow!
The Shadow analogy was used in an episode of Adventure Time, if that helps
@thorru no shit, we know its 3D, you simply don't understand what he's trying to imply
@thorru humans see 2.5 dimensions we can't comprehend it's full dimensions.
@@tonyravioli1982 No such thing as a half dimension. We proper depth perception so yes, we do in fact experience three dimensions.
A Klein bottle is what we call a technicality.
-It HAS volume, but is difficult to measure just by its dimensions. You can measure its volume by filling it with water, and then measuring how much water you used.
-It HAS an clearly defined interior, but people get hung up on it having only "1" surface. It starts/stops at the hole.
exactly, i can't think of any utility in defining inside in such away were full cups don't have anything inside. "hey, whats in your cup" "nothing" "I can clearly see somthing is in their" "actully, cups don't technicly have an inside. Therefore, there is nothing in my cup, but there is rasberry lemonade on top of my cup that's held in place" This is just on big science dad joke, don't let scientist come up with definitions or else strawberries won't be berries but banna's will be. (Blame the botanists)
It does not have a boundery so it does not have a volume by deffinition. Enclosed space has voulume by deffinition.
You're kinda like almost there but also really missing the whole point of the video at the same time. The video ultimately says that yeah, 3D Klein bottles aren't actually remarkable at all because:
-It doesn't have volume, but neither does any cup/any open container. Your statement about having to fill it to measure the volume is pretty irrelevant since it applies to just any container at all. And being hard to measure by dimensions really doesn't mean anything whatsoever; it's still measurable. Any cup can have irregular dimensions that make it harder to measure by its dimensions, but it's nothing notable at all.
-It doesn't have a clearly defined interior and only has a single surface, but that's the same for every cup/open container. "It starts/stops at the hole." Well so does every cup.
The whole reason he ends by differentiating 3D and 4D Klein bottles is to drive the point that 3D Klein bottles aren't special at all because the whole idea of Klein bottles is meant to be 4D; 3D Klein bottles are very simply weirdly shaped cups. You made both of your points while ignoring the fact that they apply to any regular cup when that's the entire point of the video.
@Tree Tape a cup does a volume, though. The material has thickness.
He explains a the end that mathematically it doesn't have a volume, as doesn't a cup and that gravity creates a "closing" and hence a "volume".
thank for explaining the curve theorem
god this channel is so cool, never stop
You don't need a vacuum chamber to fill up the Klein bottle. You just need a flexible straw/pipe that can guide liquid from the "outside" into the bottom of the "chamber".
But if you have a handy vacuum chamber laying around... lol
But it's more fun
This is what I was thinking, but knew someone else would have said it already
what you said at the end was really important, the entire time i was thinking "well if you're able to fill the bottle, regardless of method, it must have a volume, plus the debated 'opening' would clearly be that hole at the bottom, as you could put a cork in it and seal the container." as unfortunate as it is that perceiving the 4th dimension is as complicated as it is. it does not naturally exist in our plane of existence, thus it only being a feasible concept and hardly anything more.
Thx to this bottle, I was able to understand what a different dimention would look like. I would consider the video a massive success.
@@nikoolay Me too! I don't understand why people are just talking about the different ways to fill the bottle? The ending part about topology, the proofs and the visualization of how the actual Klein bottle would look like was absolutely incredible!
@Edna Toscano People tend to overlook the important part, I guess that's what makes us human. Thanks for proving that video was useful to someone else, too.
I think it's a matter of time. It's not been until relatively recently that we've been able to actually SEE gravity. I think it'll just take more study and analyst tools to be able to observe the 4th dimension. The understanding hasn't been found yet, the tools haven't been created yet, it's only a matter of time.
Absolutely. The example with the volume of the beaker is a good illustration where everyday language is making a lot of implicit assumptions, which works perfectly for us (unless we put the beaker in a zero gravity environment...), but in the world of mathematics we need to be much more precise.
they i learnt this recently in my 12th physical chemistry like when we talk about boundary otbo existance it could be real or imaginary whereas when we compare otbo nature it could be rigid or flexible, so when it means 'no volume' its exactly similar to saying 'imaginary boundary' but in a much complex way 🤷🏻♂️
Go wide enough to convince narrow. That's alot of glory.
The most interesting part of this video to me is learning that someone came up with a way to visualize for dimensional objects by cutting them into 3D slices. How ingenious.
It can actually be done for any dimension and it's corrosponding higher dimension
This is the exact same idea as when you draw a 3D cube on a piece of paper, keeping the correct perspective. Not trying to undermine this, but mathematics is full of even more creative ideas. I always say that the law of large numbers and central limit theorem should be thought to everyone (even in a very low-resolution popular science way) to portray some of the intrinsic properties of reality.
Not really, that is dimensions 101.
Yep just like how 3D object can be cut down in 2D slices and so on
@@janpeszek5897 That would be a projection, not a slice
You don't need a vacuum chamber, a straw would do just fine.
The more interesting part is that you would probably not be able to completely empty it of air even if you completely surround it by water for the same reason you can never fill it with water without mechanical support.
A more interesting approach would be to fill it trough condensation.
The straw (or a tube actually) was what I expected to see. You can even avoid a pump by simply holding the reservoir above the bottle and then pour into the tube.
nah man either you break the klein bottle and put some water in or just submerge it in water
@@coconut7630 I'm sure you will find out your sarcasm is as intelligent as trying to fill the bottle to the top by submerging it is.
but where's the fun in that?
Alternatively, you could just get one made out of plastic, drill a tiny hole in the "bulb" and let that be the air escape. Just don't tell anyone that bottle has a hole in it. If a tree falls in the forest and no one is around to hear it, there's no evidence it made a sound. Same with your Klein bottle hole.
My math teacher: math is not confusing at all
This dude: so I filled something with water that has no volume.
Love it.
Thanks to this video I now truly understand what a dilemma is.
It's a double lemma.
One of the neat things about science fiction stories from the 1940s and 1950s is they explore things like Möbius strips and Tesseracts if they existed in the real world.
Two of my favorites are "And He Built A Crooked House" about a house built in four dimensions. The other is "A Subway Named Möbius" about the perils of building a subway with too many connections.
Other fun things about science fiction from the 1940s and 1950s is what they got right, and what they got really wrong.
It's Möbin time
@@tankman5783 definitely one of the stories of all time
OMG ITS MOBIUS SUBWAY
@@tankman5783 Morbius? More like Möbius
And he built a crooked house was interesting. They said he made all the rooms of like an unfolded tesseract, but an earthquake happened and shoved them all into the 4th dimension. 10/10 read.
The first solution I thought while watching the beginning of the video, was to use a thin hose to pump some liquid on there, place the source container above the jar, and then just wait for the siphon effect to do its job.
Even after the first try with the vacuum machine, I thought of continuing on foot. It would have worked for that small bubble!
Wow, having a vacuum cube is so fancy! 😂
Facts, or just like mouth siphon the air out of the bottle while it sits in a tub of water. GG EZ
or you can use a syringe to pump the liquid inside instead of trying to siphon the liquid
Mine was just submerging the bottle...no idea if that would work or not.
This seems like basically an air pressure siphon. A tube would have been the smart solution.
What about sticking a pipe through the opening then filling it up from the inside?
"I'm gonna stick it in my vacuum chamber and suck out all the air" action lab 2022
A scientist uses a vacuum chamber, an engineer uses a flexible tube
A simpler way to fill it might be to use a flexible double tube to allow for fluid exchange. Still, pretty cool.
Just a single tube works. Push it in until it reaches the highest internal point & then pour as normal. Or submerge & rotate enough times until full.
Ok but that doesnt look cool
@@NemoConsequentae There's still going to be bubbles
@@Psychobolic77 Only those stuck to the glass, (which can be dislodged), or the gas dissolved in the water. Just as there was still air in that one. You would need a _much_ better vacuum pump than was used to get it all out. If you really want it _all_ out, you use a diff pump at least. (As used in STEM's.). But for everyday practical applications, just dunking it or using a tube is just as effective as the one in the video.
@@xrexkinect Simple solutions are not cool tho
This kinda reminds me about that story about how a mathematician in the 19th century made a hypothetical shape and expected it to behave uniquely in water, then someone recently 3d printed it and tested it and found out it behaived the same as if you dropped a round stone into water. Its interesting to think that understanding physical properties in theory are limited by how we are able to test it practically
Whats the shape?
“So there’s this cool thing I found but I won’t be telling you what it is so you guys suffer from curiosity”
It was Lord Kelvin and the isotropic helicoid
Oppenheimer moment
@@hywelgriffiths5747it sounds weirdly fake when you put it like that, like "Lord Kelvin"
this is so complicated but i got everything what he said, imagine he started teaching in a university
Very scientific way of clickbating bro .😂 respect.
There was a snake game I played like 20 years ago, and one of the levels was on a true Klein bottle. Wish I could find that game again!
Edit: Found it thanks to some comments! It's called Swear or MacSwear.
Liar
@@crispysocksss how do you know
@@crispysocksss it could be true
@@crispysocksss says the guy that doesn't exist
@@crispysocksss your mother is the one
My friend: can ya get me a drink?
Me: sure *puts it in a Klein bottle*
Excellent explanation...
He really figured out how beat the system ✊🏾
I know you could have just immersed it in water, but at this point the vacuum chamber is an integral part of the channel so I'm happy seeing it used
Hello, the easiest way to fill this Klein Bottle is to use flexible hose / tube that is smaller than the opening, put the tube inside and let the liquid flow into "main chamber". As soon as it is filled with liquid, slowly take out the tube with still running liquid, doing so you will fill in the entire Klein Bottle - the easier and faster way. Bests!
so I wasn't the only one thinking this
That's right. Though the fella seems to be infatuated with his vacuum pump. He probably even boils his tea water with it instead of a stove.
@@piotrang8634 Actually, its pretty easy to "boil" water with vacuum pump. This is because when pressure goes down, waters point of boiling gets also down. So you can have room temperature water boiling with vacuum pump. The water is just room temperature what is pretty low temperature for tea.
@@Kroko25 Go back and read again, and try to understand: 1. the sarcasm of 2. brewing tea with boiling water at room temperature only because 3. the fella is so infatuated with his vacuum pump.
@@Kroko25 Great, we now invented a cold tea automaton which need the energy instead for boiling for sucking. Anyone wanna invest? ;p
Elon?
Some how the experiment makes perfect sense to me at 2 minute mark. The atmosphere just like gravity is your 4th dimension
I never really put together that for theoretical purposes an object has to be self-enclosed to have volume as this video states. Yet another reason why I prefer practical applications over theoretical applications. Yes, I know both are important for study and advancement
If you put a tube in so you can relieve the air pressure gradient on the inside, you can just fill it normally by submersing it and keeping the other end of the tube above the surface of the liquid. The submersed air is pressurized, so it will flow out and allow more liquid into the bottle.
This is way simpler than my idea. I was thinking of a quarter inch tube with pressurized water, like what you would connect to a swamp cooler or ice maker. 👍
@@CromKiller98that’s exactly what I was thinking. A thin long tube to deliver liquid into the belly pass the neck of the bottle.
I was just thinking that
Just fill it through the tube. Nice and simple.
You can easily fill it with a siphon hose, or any small gauge rubber tubing connected to the faucet.
- You're a wizard, Harry!
- I'm a physician.
You can easily fill this Klein bottle with a small diameter pipe one end inserted inside and other connected to the tap. at last you you have to completely dip in the water.
I learned about the Klein bottle a few days ago. I was told that there's no way to fill it, I argued that with pressure changes it would be easy. I think it could also be filled by rotating it and adding fluid every turn.
It can. Also by running a flexible tube into it.
Just dip the bottle into a bucket of water and rotate it until its fill completely
maybe the person were talking about a "true klein bottle", no? can't think of how to fill one lol
True Klein bottles don't exist in our 3 dimensional world
Its its basically a inside out sphere
Could you also fill this by distilling water? Have steam go up the tube, condensate on the top, and drain into the glass. Once the glass section is full, you can easily fill up the rest normally.
Or just, shoot water up it, like from a hose…
@@GrayknightYT even better, put the glass inside water and just rotate it to take the air out
Wouldn't a straw going all they way in but still sticking out to let the air out work aswell?
One better. The thing is filled with air, a fluid, thus proving the fact that it can be filled
@@GrayknightYT I was looking for this... but gotta make complicate solutions I guess...
science teachers be like
we have to use a vacuum chamber!
just dunk it in a bucket full of water
very interesting video thank you!
Thank you for making your videos, I can’t tell you how nice it is. I don’t watch every single one, but when I do they are so interesting and you do such a great job at explaining!
Damn bro got the water from the toilet
whaddabout running a hose into it?
If the walls of the bottle have thickness, then it has volume. You could calculate by submerging it in a fluid and measuring the displacement.
That is what you are visualizing but, in reality it's a hella different which can't be proved easily by Today's mathematics!
You can't measure the volume by submerging if you can't get all the air out of it!
@@mertzanakia But actually you can, just submerge the bottle and put a hose "inside", from the bottom, with liquid pressure.
@@mertzanakia the glass itself has volume
@@mertzanakia he just proved he can get all of the air out of it. Or he could have done it with a straw...
Ah yes, you never cease to amaze me with the things that can be done with a vacuum chamber.
It’s awesome how physics can completely erase impossibilities like this.
"A lemma", "Lemma 1"
...oh god, its making sense...
It’s awesome you tried this out! I always wanted to see the Klein bottle in a vacuum chamber and it’s subsequent effects!
What is this weird badge you have? R u rich or something?
@@khlchs2231 channel member
Hlo
A scale model of a miniature train running on a mobius strip would make a cool desk geegaw. Nice work on filling the Klein flask! 👍 😃
I did absolutely not learn anything, but it was fascinating
but the beaker does have a volume there are laterally lines on the outside to tell you what its current volume is XD
0:50 MY WIFI CUT OUT AND I JUST HEAR HIM SAY "I'm gonna stick it in my-"
🗿😈
☠️
😐 😮 💀 😈
Perfect timing
My guy has the biggest tan difference known to man. 3:00
1:05 bro’s first thought is a vacuum chamber whilst i just thought of a hose
The action lab feeling like a god after filling a complex shape with no volume with water
Hey, I have a question that I’ve had for a bit now. How fast can these “Hot Wheels Particle Accelerators” actually get? They seem to go fast enough to where they start moving backwards, but how fast are they?
idk just put it in a vacuum chamber and find out
Visual distortion doesn't occur until at least Mach 2 I could be wrong about that and it actually is Mach 1
When they start moving backwards that means they're going around approximately once every frame of the camera recording it. If the camera's frame rate is 30 fps and the circumference of the track is 1 meter, that means they're going 30 m/s, which is like 70 miles per hour.
@@netherminer101 No. That is completely wrong.
Ignoring losses such as friction etc, the fastest a car would spin would be however fast the tangential velocity of the outer part of the booster spins.
I feel like the laws of physics were violated just by making a Klein bottle in real life.
Only a little bit
Not really, watch the last 45 seconds of the video
Because it's not a real Klein bottle, just a 3D-Representation of the mathematical 4D object. This video is misleading in that sense, even if it is mentioned at the end.
It's a little different than that. Technically a physical klein bottle in 3d has the projection of one of the dimensions into the 3 other. So thin part that extends through the main shape of the vase, in a real klein bottle, does not actually intersect and make up the shape as it does in 3 dimensions. In a real klein bottle, that intersection represent direction in 2 different dimensions and so they pass by each other with a degree of freedom.
Essentially, it's like looking at the shadow of a cube against a wall and saying, "a cube has six sides". Really, the shadow of a cube has six sides at the right angle.
But we can't really "see" 4 dimensional shapes beyond how we can describe them mathematically.
So the laws of physics weren't broken, but the klein bottle became no longer a true klein bottle, but a shadow of a klein bottle.
@@johnhunt1813 it doesn't exist because it can't. There are only as many dimensions as there are hear on earth. No more, no less.
Awesome innovation ❤
how is he not viral yet?
I've been trying to understand what a vacuum is since the 9th grade and today thanks to you I finally understand. I'm 31 years young.
No way you went that long without googling it
@@miisf1t546 Einstein do you think Google existed back then?
@@yahoodiagent4663 Nicholas was born in 1992.
Google was created in 1998, when he was 5/6.
In 9th grade, he was probably 14/15.
So, technically, yes, it did.
@@Gornonatory the maths check out
@@miisf1t546 Believe it or not, allistics often wonder but don’t always look things up.
I wanted to see what happens when you try to pour the filled bottle back out again. Does some of the water get stuck? does it siphon out? Does it come out in chunks based on how much of it you can get through the tube at the bend before it airseals the enclosed chamber?
What if you put a shopvac down the tube?
@@Zarkonem You could definitely put a bendable straw or tube into the bottle, submerge the bottle, and suck out the air.
5:31 that's a very interesting shortcut to know if we are inside or outside but to what does it apply?
it doesn't work for a circle inside a circle, every point inside the biggest circle is inside even if also inside the smaller circle
Dang! Your hand was keeping the colored liquid "inside" the outside of the inside, and then you had to go and spoil it at the end, tell me that a proper Klein bottle is a 4-D object, and that you were holding a 3-D representation of one.
Mind. Blown!
This channel is by far the best sub I did last year. Never ceases me to make me think about stuff that honestly never crossed my mind.