What Does a 4D Klein Bottle Look Like?

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The Action Lab

The Action Lab

Күн бұрын

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I show you what the difference is between a klein bottle in 4D vs 3D.
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Пікірлер: 2 100
@TheActionLab
@TheActionLab 2 жыл бұрын
Hello everyone, when I mentioned finding a higher price online than PCBway, obviously it was meant to mean if you find a lower price online they will match it! The point is they will give you a great price😁
@russellsproutser8308
@russellsproutser8308 2 жыл бұрын
hey action lab someone called "vlad slickbartender" asked for your help in a vid, i think just keep scrolling on his shorts page and you would see a video
@jeaniebird999
@jeaniebird999 2 жыл бұрын
Isn't 2:07 a misstatement? A 2D person would live in a 1D space. A 3D person lives in a 2D space and only sees in 2 dimensions. A 4D person, such as us, exists in the 4th dimension and sees everything in 3D.
@rockik7844
@rockik7844 2 жыл бұрын
No a 3D person lives in 3D space. Why would you think we are 4D
@westonding8953
@westonding8953 2 жыл бұрын
@@jeaniebird999 No. A 2D person would live in a 2D space but "see" 1 dimension. We live in 3D space but we only "see" 2 dimensions but we can perceive 3D.
@westonding8953
@westonding8953 2 жыл бұрын
@@rockik7844 You know, interestingly this universe looks like R^3 but the reality is it probably is not. Maybe we can say it's R^3 x T where T is the temporal dimension that is only perceived in one direction.
@Square_Peg
@Square_Peg 2 жыл бұрын
I just can't wrap my mind around what anything in the 4th dimension would look like
@GurrenPrime
@GurrenPrime 2 жыл бұрын
Well, that makes sense considering our brains are only 3D
@GeoffCostanza
@GeoffCostanza 2 жыл бұрын
It's because our 3D monkey brains are incapable of doing so. It's similar to how a chicken is incapable of recognizing itself in a mirror. It would know that a bird in front of it behaving very bizarrely, but it will never understand that its reflection is a live image of itself. Similarly, concepts like the fourth dimension and infinity are things that our primitive brains are just incapable of fully grasping.
@yuyah7413
@yuyah7413 2 жыл бұрын
Well, that makes sense considering it doesn't exist
@westonding8953
@westonding8953 2 жыл бұрын
Nobody can. Lol
@Qaptyl
@Qaptyl 2 жыл бұрын
well good news 3d objects, like your mind, in 4d would be flat so you could indeed wrap it around something but it'd have to be kinda small
@saidchammas
@saidchammas 2 жыл бұрын
I don't think i've ever seen someone explain a klein bottle and 4D so simply
@nooey1487
@nooey1487 2 жыл бұрын
Agreed. He explained that very simply. And I still don’t understand it.
@BRNOOB_
@BRNOOB_ 2 жыл бұрын
@@nooey1487 ngl, they got us in the first half
@DeepKumar.
@DeepKumar. 2 жыл бұрын
@@nooey1487 Me too, some how I'm more confused now...😅
@westonding8953
@westonding8953 2 жыл бұрын
Yeah. I did not touch on this specific topic in my geometry classes in college. We covered handlebodies but not the fact that this is only a manifestation of the Klein bottle.
@saidchammas
@saidchammas 2 жыл бұрын
@@godisfraud you're not very bright are you
@user-dc9rf1sy1m
@user-dc9rf1sy1m 2 жыл бұрын
Hey, The Action Lab. Actually a 2d person would not see a circle as you stated at 2:20, they would see a line. You, as an observer in the 3rd dimension would be able to see the entire circle that your finger imprints into the 2nd dimension, but a 2D person would not have the depth to see behind their vantage point to see the entire circle. Instead, they would be seeing a circle from the side, which to them would appear as a straight line.
@travisperry4515
@travisperry4515 Жыл бұрын
You've read flatland I'm sure right?
@taylorchasesteele
@taylorchasesteele Жыл бұрын
My thoughts exactly. You wouldn't be able to comprehend much shape at all in the 2nd dimension
@porterwhitaker8775
@porterwhitaker8775 Жыл бұрын
And that's how you complicate this idea. Haha so essentially his realm contains the full circle but because he can only travel 4 directions. Up down left and right, he can see all sides of it but can only understand that it's a line, if he could travel in and out making it 6 directions he could see the full circle. This applies to us and light and dark.
@blauerbambus1518
@blauerbambus1518 Жыл бұрын
He can. When he looks at it from different perspectives. Like we see the world in 2d objects, but our brain can create 3d objekts out of them, if we change perspective, or summon the 2d pictures from both of our eyes.
@jurin8230
@jurin8230 Жыл бұрын
That's like saying we cannot see spheres and can only see circles
@clintonleonard5187
@clintonleonard5187 2 жыл бұрын
What terrifies me about this is that there could be 4D things all around us, permeating us, all the time, and we don't even know. They could look inside our bodies and inside of the most secure room on Earth. Like a 2d creature on a mobius strip would feel like it is walking on a flat plane, we are probably twisting and undulating in higher dimensions. It freaks me out.
@Omegka
@Omegka 2 жыл бұрын
Actually i've thinking about this... the logic doesnt actually work out that way. A 2d object can not exist in a 3d space, so how would any part of a 4d creature be able to exist in 3d space. I was doing about a thought experiment about compressing fruit flies generation after generation, but ultimately you wouldn't be able to create a 2d creature ever, because you would never be able to get one of the dimensions to 0, the building blocks of our perceptible universe are made out of 3d objects, and can only create 3d objects, i would assume the same would apply to any other dimensions.
@clintonleonard5187
@clintonleonard5187 2 жыл бұрын
@@Omegka It's true that an entire (living) fruit fly could never exist in 2 dimensions at the same time. But, you could project a fruit fly into 2 dimensions. It actually happens all the time, it's called a shadow. If there were a 2d universe, the fly could also intersect it, and the 2d beings would see something very strange indeed. In fact, there could be physical objects in our world that are 3d projections of 4d objects. Either intersections, or (more likely) projections. Actually, every single moment is a 3d cross section of the 4d space that is time. There is another, more horrifying option, as well. You could UNFOLD a fly into 2 dimensions... I don't think the fly would survive, though.
@shashiplaysroblox8622
@shashiplaysroblox8622 2 жыл бұрын
Ok 4d is werid let forget about it
@nydydn
@nydydn 2 жыл бұрын
@@Omegka I believe you are correct that true 2d objects cannot exist in 3d space, from which it follows that 3d objects cannot exist in a 4d space. But then, further, you're suggesting that because we are 3d objects, we cannot coexist with 4d objects, so there's no big spy. This suggestion though relies on a possibly false assumption, which is that we are 3d objects living in a 3d space. What we know is that we can observe 3 dimensions (apart time), which does not exclude the possibility of other dimensions that we have not observed yet. This is the foundation of string theory. Perhaps we are 10 dimensional beings living in 10 dimensions, but we can reasonably perceive only 3 dimensions (and time, but that definitely feels different than the other 3). One possible explanation for our focus on these 3 dimensions could be that the other dimensions are relatively incredibly small. Imagine if everything in our 3d space would strictly have the width of an almost 2d fruit fly, that is still 3d. Similarly, the 4th dimension can be so small that we don't realize it's there.
@clintonleonard5187
@clintonleonard5187 2 жыл бұрын
@@Omegka Basically, you can manipulate lower dimensions from the higher ones, but not the other way around.
@KateLB1027
@KateLB1027 2 жыл бұрын
You are such an amazing teacher. I WISH that I had someone like you teaching my science classes in high school! I’m a scientist working in a laboratory now, but I can only imagine what else I would have been inspired to do with such great inspiration at an early age!
@heatherreich2687
@heatherreich2687 2 жыл бұрын
For real
@quietflint1
@quietflint1 2 жыл бұрын
She's lying probably 🤫
@Insanearc
@Insanearc 2 жыл бұрын
@@quietflint1 they might not even be a girl. But hey, who are we to know
@quietflint1
@quietflint1 2 жыл бұрын
@@Insanearc Righty O!
@KateLB1027
@KateLB1027 2 жыл бұрын
@@quietflint1 Degree in Microbiology. medical laboratory scientist in a clinical laboratory in Ohio. Went back to school again and got a 2nd BS to continue my education. Worked for 6 more years. Now back in grad school pivoting my career because there isn’t vertical movement in the clinical laboratory other than Management (unfortunately). Also a girl-but I don’t think that matters so much.
@MuzikBike
@MuzikBike 2 жыл бұрын
Finally some recognition for 4D Toys! An absolute masterpiece of a simulation program.
@hardwareful
@hardwareful 2 жыл бұрын
Yeah, sadly this video isn't really making good advertising for 4D Toys or Miegakure.
@NVidea-yz1fg
@NVidea-yz1fg 2 жыл бұрын
Now we only have to find a manufacturer for such toys. ^^
@kaysonhall7243
@kaysonhall7243 Жыл бұрын
Whenever I watch your videos, I have no idea what you’re talking about half the time, but that’s what makes it enjoyable.
@Quklasa
@Quklasa 2 жыл бұрын
I've always been fascinated by non-orientable shapes, this was such an interesting way to help someone understand it!
@Rawny
@Rawny 2 жыл бұрын
6:26 The "bottle", then the 2d line on paper then back to the "bottle" was a GREAT visual explanation! ty!
@gonegahgah
@gonegahgah 2 жыл бұрын
I like 'Klein Strips' more than 'Klein Bottles' after all what use is a 'Klein Bottle' to a 4D being. Would be like us making a 'Möbius Strip' out of a piece of string! I imagine 2D beings calling the later a 'Möbius Bottle' and making videos about it!!!
@Kai_On_Paws_4298
@Kai_On_Paws_4298 Жыл бұрын
@@gonegahgah They use it to water their plants 😂
@kelvinle8662
@kelvinle8662 2 жыл бұрын
Another explanation is to have a portal on the "inside" and "outside" of the intersection. So instead of intersecting the surface, the Klein bottle will just go through that portal, thus completing the loop without intersecting itself.
@blueplasma5589
@blueplasma5589 2 жыл бұрын
a portal helps explain, thank's
@TheStegosaurus_
@TheStegosaurus_ 2 жыл бұрын
Yes, and this portal is the next/4th dimension
@mjsthetopshelf
@mjsthetopshelf 2 жыл бұрын
Yes helpful.
@J.A.huscher
@J.A.huscher 2 жыл бұрын
I'm gonna go through it
@ellsomach
@ellsomach 2 жыл бұрын
I think portal isnt the 4th dimension, but the tunnel/space/something that connect the portal/object Like 2d explanation from the video it will look like stopped but actually still connected Sorry my english is bad
@aking5469
@aking5469 Жыл бұрын
Wow. he explained the 4D really easily and I still don't get it.
@ruhto828
@ruhto828 5 ай бұрын
no one in 3d can get it
@skaruts
@skaruts Ай бұрын
@@ruhto828 if that's true, then no one could ever even explain 4D, and everything we know about 4D has to be wrong, and 4D is inherently unfalsifiable. I'm personally very sceptical about the 4th spacial dimension, but I don't think your line of reasoning makes sense either.
@riduanaqil1452
@riduanaqil1452 2 жыл бұрын
This is amazing! Even when i though i understand the subject, you still makes me interested and i ended up learning something new
@sophiedenise
@sophiedenise 2 жыл бұрын
The "Dude... what if you... like... sewed two mobius loops together..." at 0:30 cracked me up
@jacobdoehrmann6788
@jacobdoehrmann6788 2 жыл бұрын
The 2D, 3D analogy was amazing as a way to grasp that concept! Thanks!
@barcodereader
@barcodereader 2 жыл бұрын
I love how he just gets straight to the point.
@tiusic
@tiusic 2 жыл бұрын
I imagine 4D objects by mapping the 4th dimension to color. with the rule that if 2 things are different colors, they can pass through each other. Then you can imagine 4D klein bottle as a 3D one that's mostly red, but around where the intersection is it fades through orange to yellow. The yellow tube is able to pass through the red body without intersecting. That sort of color change is the same as lifting up the crossing part of the figure 8 example.
@gonegahgah
@gonegahgah 2 жыл бұрын
What colour is the intersection plane?
@tristan6773
@tristan6773 2 жыл бұрын
@@gonegahgah it was a smooth transition in my mind. Very nice visual representation thanks
@ticiusarakan
@ticiusarakan 2 жыл бұрын
field's representation. very clever) so can we declare that 3d space it self is a field of energy?
@emmi8899
@emmi8899 2 жыл бұрын
this made so much sense and actually helped me visualize it, thank you!!
@myowncomputerstuff
@myowncomputerstuff Жыл бұрын
Glad somebody said it. This to me has always been the easiest way to visualize 4D. It's hardly that far-fetched considering how many 2D maps use a color spectrum to portray 3D height.
@cmyk8964
@cmyk8964 2 жыл бұрын
Fun fact: the name “Klein bottle” was a misunderstanding. Its original name was “Klein surface” (Kleinsche Fläche), but since the German word looks similar to that for “bottle” (Flasche), and its 3D representation looks like a bottle, the mistaken name stuck.
@flohwalzer
@flohwalzer 11 ай бұрын
oh nice
@BIackhole
@BIackhole Ай бұрын
Thanks for this nice information!
@KjllShot
@KjllShot 2 жыл бұрын
First time ever ive been able to properly visualize this, that's amazing!
@rodjori
@rodjori 10 ай бұрын
The best explanation about the subject. Thanks! Fantastic video!
@trenboloneacetate1
@trenboloneacetate1 2 жыл бұрын
I wish we could imagine how it would actually look in the 4th dimension
@gonegahgah
@gonegahgah 2 жыл бұрын
A tree is pretty similar in any dimension. It’s when you get to things like us and functional objects that there are a few tricks to make it easier. We bipeds have inside big toes, left toe on right foot, right toe on left foot. 4D beings would have the same thing with big toes either facing the centre of all the n-ped legs, or more likely having two big toes per foot each towards one of the adjacent legs, with many more other toes than we would have. I would hazard that the little toe would still hang on the outside away from the centre of the circle of legs.
@sansdw7723
@sansdw7723 2 жыл бұрын
@@gonegahgah what.
@editname6868
@editname6868 2 жыл бұрын
@@gonegahgah do you need grammarly
@editname6868
@editname6868 2 жыл бұрын
God I hate this new... commenting... format thing
@gonegahgah
@gonegahgah 2 жыл бұрын
@@sansdw7723 Our big toes serve a function by being between inside. This would be the natural evolution too if 4D were liveable but unlike our two legs they have a circle (or minimum triangle) of legs. I'm thinking, further possibly to what I said above, that maybe they need the major toe inside towards the centre of the circle of legs, and then secondary important toes between adjacent legs. So one major toe (per foot) plus two lesser major toes (per foot) plus a whole lot of increasingly minor toes?
@Bootleg_Jones
@Bootleg_Jones 2 жыл бұрын
You forgot to mention that in topology a beaker would be considered to have infinitely thin walls. A real like beaker definitely does have volume since it's walls do have thickness in real life.
@Noah_Zion
@Noah_Zion 2 жыл бұрын
its
@newjerseyhater9237
@newjerseyhater9237 2 жыл бұрын
@@Noah_Zion I like how you corrected the punctuation rather than "like" where they meant "life"
@SwordSprite
@SwordSprite 2 жыл бұрын
@@newjerseyhater9237 they said life tho? XD (not trying to be rude :)
@spacexplorer_
@spacexplorer_ 2 жыл бұрын
@@newjerseyhater9237 I don't think an apostrophe is punctuation though.
@newjerseyhater9237
@newjerseyhater9237 2 жыл бұрын
@@spacexplorer_ well it is a punctuation mark and related to commas so
@slappyrats
@slappyrats 2 жыл бұрын
How the hell have I not subscribed after watching you all these years?! You're great! 😍
@eduardokrummenauer9037
@eduardokrummenauer9037 2 жыл бұрын
This has to be the most awesome video on this channel. You're the first person who has made me get a glimpse of a fourth dimension. Thx
@hannesaltenfelder4302
@hannesaltenfelder4302 2 жыл бұрын
I've seen a video, that explains 0,1,2,3...10d with shapes, that are somewhat pressed together, but instead of overlapping, that part is now in the next dimension. Your video was the next puzzlepiece to kind of understanding a bit more. Thank you very, very much.
@niduberi
@niduberi 2 жыл бұрын
Okay but share the video please!
@BrendaMartinez-yg6qj
@BrendaMartinez-yg6qj 2 жыл бұрын
Hello! What was the video? Can you please share with us?
@ProfessorOof
@ProfessorOof Жыл бұрын
@@BrendaMartinez-yg6qj It was probably something like this, using the points of shapes 2d to 3d: A square has 4 points, them and place it on the axis of the 3rd dimension, connect the lines and you get a cube
@angeloarugay8672
@angeloarugay8672 2 жыл бұрын
“So what we have here is a klein bottle” “This isnt actually a klein bottle” BETRAYAL
@cookingwithchicca4627
@cookingwithchicca4627 2 жыл бұрын
I love how this is simple to understand, because he’s not using very difficult names or words, that make you feel uneducated. This video was interesting and educational, thanks! :)
@fin4711
@fin4711 Жыл бұрын
these at 2am feels like im learning something
@westonding8953
@westonding8953 2 жыл бұрын
You know, technically, we don’t “see” 3 dimensions. We perceive 3 dimensions of space. If you look at a cube and projected a 2D image of it, that is what you are “seeing” and not all of the projections are squares. This is the same idea in 4 dimensions and 3D projections.
@ericcloudbolduc8840
@ericcloudbolduc8840 2 жыл бұрын
Incorrect... If you only had one eye... Then you are correct... But 2 eyes allows us to see or perceice it has a depth.... 3rd dimension. And if you look at it for 5 seconds... Time, 4th dimension, especially if you drop the cube, then you can know exactly WHERE is was in that 4th dimension of WHEN. Not this quackery of "no volume". The thickness of glass is a volume. BUNK I SAY... BUNK...
@Qaptyl
@Qaptyl 2 жыл бұрын
@@ericcloudbolduc8840 i think depth perception is far different from what he was talking about because that just takes 2 2D images and merge them into something where you can focus on something with different depths. this isn't really 3D visual input. 2 dimensional people would see in one dimension because thats 1 lower that 2. they cant imagine what 3D looks like because they don't have a 2 dimensional vision input. even if they has 2 eyes, they would just be able to tell which object is far or close because of how their focus works which isnt actually 2 dimensional vision. similarly, we have 2D vision and the 2 different positions help us understand depth the same way that moving helps us understand depth. if we could really see 3D then we could see behind walls without walking around. we could see anything inside things too. this is why we cant imagine what 4D objects look like
@westonding8953
@westonding8953 2 жыл бұрын
@@ericcloudbolduc8840 I did not include a discussion about in depth. Every image you “see” is 2 dimensional. But you perceive 3 Dimensions.
@ericcloudbolduc8840
@ericcloudbolduc8840 2 жыл бұрын
@@Qaptyl stop imagining things that are fiction to justify other fiction... 2 dimensional people don't exist neither does 2d space... That's a plain not "space", space always has volume, and if they did they would see only line segments as in flatland or futurama... 4 dimensional beings... Would time travel... That's it... Dr. Who is a 4 dimensional being that moves through time and space. Enough with this nonesense. Your eyes see 2 2d images with your 2 eyes, and the brain converts the info into 3d... We are 3d and see in 3d, and we also perceive the passage of time, so are we 4d beings? People keep passing on this "if a being was 2d" nonesense to justify 4d. And when he says it has no volume... Wtf is he talking about... If you submerge them in water, the water line would be displaced in both cases... Unless you submerge it in an Olympic sized swimming pool to justify the water line didn't move to justify "it has no volume". There are plenty of ways to bullshit science to make it fit the bullshit narratives... Humans are going backwards in their understanding of physics and are becoming inferior specimens of inferior intellect.
@apexdisease6030
@apexdisease6030 2 жыл бұрын
This is actually a really good point and it gives me a new perspective on this whole idea of a 4th spatial dimension. This means that (hypothetically) a 4th dimensional being sees everything in 3 dimensions at one time. Really trippy to think about.
@mikosoft
@mikosoft 2 жыл бұрын
I have a pretty good understanding of what it means to move through 4th dimension but seeing it visually still completely breaks my brain.
@shafayetarish5616
@shafayetarish5616 Жыл бұрын
Very much informative. Loved the way you explained it.
@jbonaful
@jbonaful Жыл бұрын
This has been one of the most helpful visual explanations of the fourth dimension.
@UNBOXBURRITO
@UNBOXBURRITO 2 жыл бұрын
I find your explanations of the 4th dimension better than anyone else I've seen.
@custos3249
@custos3249 2 жыл бұрын
Finally the demo I've been looking for. Math channels get their heads so far up their own Klein bottles, they never do anything other than explain the abstract as if it's as self-evident as 1+1.
@youareiamurim
@youareiamurim 2 жыл бұрын
This was the best 4d explanation i have ever seen! 💪🔥
@leedamren4387
@leedamren4387 Жыл бұрын
This is the best explanation of a 4d object I have ever witnessed.
@rayoflight62
@rayoflight62 2 жыл бұрын
4D objects can really be hard to visualise. I used the technique of orthogonal projections, but with a 4th plane. The interesting thing, is the sheet of paper used for the drawing. In a 3D orthogonal projections, a sheet of paper can be divided in four parts: one for the top view, one for the front view, one for the side view, and the last part - the bottom right - used for the 90 degrees projection lines. The forth dimensional plane is a part of a paper sheet connected with sticky tape at an angle, but the interesting detail are the three planes with the projection lines from all three other views. Of course the 4D app is more practical than the floating paper fandango, but I bet that almost nobody is able to work out how the projection on the 4th plane looks, since our brain (normally) can't imagine objects in 4D. The hypersphere and the tesseract are the simplest 4D object one can think of; hyper polygons are a true challenge to the imagination (if an headache don't kicks in first). Thank you for the great video!
@sagnikmaity1444
@sagnikmaity1444 2 жыл бұрын
Light up a blunt and inhale the smoke. When you exhale, before you know you are floating in the fourth dimension amongst the smoke clouds. 🌬️💨☁️
@mrmexicano64
@mrmexicano64 2 жыл бұрын
I like the idea and would appreciate if I could find a demonstrated of this technique
@amaneyuuki6569
@amaneyuuki6569 2 жыл бұрын
I use another technique to visualise 4D, which is the gradient map (a.k.a heat map). We can use colors to visualise the height of each point on a 2D map of a mountain range. Let's say we use red for "high", green for "neutral", and blue for "low". Now imagine that the glass bottle in this video has colors that gradually change between red, green, and blue, so that the part where it "intersects itself" has the "tube" as red and the "surface" as blue. The red and blue would overlap (and create purple). Fortunately we are familiar with understanding "red+blue=purple", and we are using green as "neutral". Therefore, as we see purple, we can understand that there are 2 separate parts, red and blue, meaning "high" and "low", that do not intersect. Using the same technique, we can draw an illustration of the Mobius strip on a flat plane.
@sagnikmaity1444
@sagnikmaity1444 2 жыл бұрын
@@amaneyuuki6569 We have seen this technique in old school printed maps. But you cannot see through the mountains with this technique. You can just justify the elevation with this. Btw good suggestion. 4D is not practical out of the computer simulation. You have to accept this fact. Unless you are high af.
@amaneyuuki6569
@amaneyuuki6569 2 жыл бұрын
@@sagnikmaity1444 You can "see" through a mountain, if you use a similar technique to visualise a tunnel (with varying elevation) through the mountain. We would have to use colors differently. We use green for the mountain, ranging from dark green (low) to bright green (high). We use red for the tunnel, ranging from dark red (low) to bright red (high). Basically we are using the "alpha channel" as the "elevation". As we are familiar with 3 base colors, we can visualize 3 things (for example: surface and 2 tunnels) at the same point of the 2D map.
@mastershooter64
@mastershooter64 2 жыл бұрын
Legend says, if you say "klein bottle" 3 times at 3 am, Cliff Stoll gets summoned and he has 2 klein bottles in his hands
@tmwolf100
@tmwolf100 2 жыл бұрын
I click this video the second I saw the title, thought this is a new Cliff Stoll video!
@mike1024.
@mike1024. 2 жыл бұрын
4:31 is when the sponsor ad ends.
@abhishrutimandal880
@abhishrutimandal880 2 жыл бұрын
I had never understood what 4D space is like in the first place. And this video really got me
@KaiCyreus
@KaiCyreus 2 жыл бұрын
the Klein bottle has never been clearer to visualise, this is breakthrough-worthy in my brain - and yet the 4th dimension remains just as impossible to comprehend, i hope one day it will become intuitive
@utkarshanushka2577
@utkarshanushka2577 2 жыл бұрын
Same here
@gonegahgah
@gonegahgah 2 жыл бұрын
I prefer Klein Strips to Klein Bottles. A Klein Bottle serves no purpose to a 4D being. It would be like us forming a Möbius Strip from a piece of string…
@FixingGears
@FixingGears 2 жыл бұрын
This guy is amazing in every science topic 😍 u really make things easy to understand..thank you sir🙏
@trixgames1
@trixgames1 2 жыл бұрын
It's because of you I know understand the klein bottle. It took me years to understand it. Thank you
@daddy7860
@daddy7860 Жыл бұрын
1:18 "But a Klein bottle is different; it has no edge..." -> 1:22 "But you can see if I follow my finger around the edge..." lol
@tamardaniel2115
@tamardaniel2115 2 жыл бұрын
This is absolutely amazing and mind blowing 🤯 👏🏿 🙌🏿 😍 this is taking my love of geometry to a whole new level! Thank you!!
@krishcshah
@krishcshah 2 жыл бұрын
You never fail to blow my mind away.
@IssacKris
@IssacKris Жыл бұрын
I love this channel. Thank you for making me learn Physics again
@shubhendumishra1421
@shubhendumishra1421 Жыл бұрын
Thank you so much finally I understood the concept of 4th dimension. And I am getting vibes that this concept will eventually change our reality.
@plweis7203
@plweis7203 2 жыл бұрын
Superb explanation- thank you.
@konoveldorada5990
@konoveldorada5990 2 жыл бұрын
Teacher: *It's a square.* Loki: 5:11
@williamvanniekerk5608
@williamvanniekerk5608 2 жыл бұрын
As alway, an amazing video, well done man✌🏻💫
@brandlls
@brandlls 2 жыл бұрын
With the demonstration of the stick figure you showed us, would that theoretically apply to us as well? In regards to the 4th dimension. We can’t see it doing what it’s doing, but it’s been doing that
@unvergebeneid
@unvergebeneid 2 жыл бұрын
Just remember whenever you find an explanation like this basic, there's always someone younger (or maybe even older) who's hearing these things for the first time!
@rowangi
@rowangi 2 жыл бұрын
I really like these videos!! Like a lot!! Thank you so much for making these and teaching us all so much!
@Infinixel
@Infinixel 2 жыл бұрын
i agree
@skarfacegaming243
@skarfacegaming243 2 жыл бұрын
Your last few 4d explanation vids I was still pretty confused by the concept. But this one really helped fill in the things that I wasn’t quite getting
@dracisbackwithatictac
@dracisbackwithatictac 4 ай бұрын
Yea becuz this contents is prtty much stolen like the examples used here are exaclty the same as an other youtuber he used an app here which ws tht same exact youtubers shame he didnt credut them
@aloph7329
@aloph7329 2 жыл бұрын
This is the best explanation for how things in 4d transfer to 3d I've ever heard. I never wrapped my head around it before, and while I still can't, at least I can understand why I can't.
@one_in_infinity7474
@one_in_infinity7474 Жыл бұрын
So Hypothetically, if I make a physical 5D Klein Bottle, that's time travel.
@abhisharmaviii-f7506
@abhisharmaviii-f7506 2 жыл бұрын
This guy never disappoints with his content
@Maliktevin1643
@Maliktevin1643 2 жыл бұрын
That’s right!
@Infinixel
@Infinixel 2 жыл бұрын
when DID he ever disappoint us?
@westonding8953
@westonding8953 2 жыл бұрын
Yep!
@Maliktevin1643
@Maliktevin1643 2 жыл бұрын
@@Infinixel never
@dnxx503
@dnxx503 2 жыл бұрын
@@Maliktevin1643 sup
@danielbickford3458
@danielbickford3458 2 жыл бұрын
Technically speaking because the way filming Works, what we're watching when you're holding up a Klein bottle is a second dimensional representation of a third-dimensional immersion of a 4th dimensional object
@vosid977
@vosid977 Жыл бұрын
thank you for all. i love them all
@daltontinoco7084
@daltontinoco7084 2 жыл бұрын
He did it. He made my favorite shape. My hero
@steveburke1519
@steveburke1519 2 жыл бұрын
2:16 They would not see a circle; they'd see a line equal to the diameter of the circle.
@rgerber
@rgerber 2 жыл бұрын
yes thats correct but if "we" look at a 2d space in the 3rd dimension you see a circle, the stick man not
@sticlavoda5632
@sticlavoda5632 2 жыл бұрын
I mean would the stick man see anything? There is no width to the 2d world, so if the line had no width, how could it be visible?
@wezzeli5476
@wezzeli5476 Жыл бұрын
@@sticlavoda5632 I guess the 2D man would see a color from each direction as he rotates around 360 degrees.
@sanbyar5059
@sanbyar5059 2 жыл бұрын
Never been more curious to learn about science
@niladisify3811
@niladisify3811 2 жыл бұрын
This is one of your best videos.
@sarahfonda4714
@sarahfonda4714 2 жыл бұрын
I thought i had a good grasp of 4D before but wow this makes it sooo much easier on the brain to imagine. Take my upvote sir
@Deathworm-eg5lt
@Deathworm-eg5lt Жыл бұрын
0:12 morbius loop 😳 😳
@thelightknight4772
@thelightknight4772 10 ай бұрын
Its the loop of all time 🔥🔥🔥🤨👾🇸🇪🤐
@ThePrufessa
@ThePrufessa 2 жыл бұрын
AL: what a 4D Klein bottle looks like Me: can we learn what a 3d Klein bottle looks like first?
@mixey01
@mixey01 2 жыл бұрын
Another exciting and informative video even during the PCBway segment Science rules!!!
@killuagamez
@killuagamez Жыл бұрын
He sounds so nice and explain so simply I wish he was my science teacher
@deltadrom9013
@deltadrom9013 2 жыл бұрын
I thought time is the 4th dimension. btw... i think it's about a (varying in two spacial dimentions but not in the 3rd one) slice of Klein bottle, moving (in time) in the shape of the whole bottle - then the bottle would exist in 4D, but won't intersect itself because only a small fragment is present in a slice of 4th dimension- time.
@Pond721
@Pond721 2 жыл бұрын
How could time possibly be the 4th dimension when it exists in the 3rd dimension. The idea that time is the 4th dimension is a myth and disinformation.
@deltadrom9013
@deltadrom9013 2 жыл бұрын
​@@Pond721 It does not exist in 3rd dimension. 3d is like a freeze frame - it can be well seen in some 3D graphic programs. Maybe we live in (at least) 4 dimensional universe... we can't move through time as we want - just like a hypothetical 2d guy drawn on a piece of paper can't move above or below the sheet.
@Pond721
@Pond721 2 жыл бұрын
@@deltadrom9013 Time is NOT the 4th dimension. This video is talking about spatial dimensions, which time is not. Time is it's own entity with it's own dimensions. Time certainly exists within our 3D space, we live spacetime, so we are technically already living in 4 dimensions. This video is only talking about the 4th spatial dimension, so in this case, time is not the 4th dimension, although it is A dimension.
@westonding8953
@westonding8953 2 жыл бұрын
The intersection points prevent the 3D immersion of the Klein bottle from being a manifold. You have to exclude them.
@westonding8953
@westonding8953 2 жыл бұрын
@@godisfraud You would understand it if you understood manifold geometry.
@jhaz89
@jhaz89 2 жыл бұрын
@@westonding8953 Oh yeah, manifold geometry. I had that right after History and before English.
@aryankalal5567
@aryankalal5567 2 жыл бұрын
The best explanation till now😎
@franksprachen
@franksprachen 2 жыл бұрын
My brain just changed completely. Thanks for this video.
@David_Mash
@David_Mash 2 жыл бұрын
Higher price match? Lol just teasing. Fun video. Thank you!
@SirChakaWilliam321
@SirChakaWilliam321 2 жыл бұрын
I just wish someone could tell me examples of things that live in 4D with visuals. Perhaps I would be able to understand 4D concept very well.
@jk743
@jk743 2 жыл бұрын
Impossible. Lower or higher dimensional matter has either never been observed or never been identified as such. The assumption that matter of our three dimensional space can directly interact with space of a different dimension leads to the believe that something like a Klinebottle as a physical object would actually be possible. If it's possible then it's only possible using higher dimensional matter. A Klinebottle as a space might be possible though, but any matter inside a space like this would be unable to identify the form of the space from within.
@DweeD1516
@DweeD1516 2 жыл бұрын
@@jk743 Well said.
@sunji5390
@sunji5390 2 жыл бұрын
In the video he gives example of how 2D person sees, but what is an example of 2D being? Anime? It doesn't make sense as well as 4D beings, Im sure it doesn't exists.
@clichepuff2010
@clichepuff2010 2 жыл бұрын
Wow I understood 4th dimension for the first time in my life ! XD Thankyou so much!
@grimifu8
@grimifu8 Жыл бұрын
It's really cool that we can figure out what 4d things look like partially
@premkumarkardale2976
@premkumarkardale2976 2 жыл бұрын
Hey bro collide two protons and create huge energy
@tinkiewinkiification
@tinkiewinkiification 2 жыл бұрын
Question: what happens to the light if you make a very long sequence of lenses all pointing the same way and spaced exactly 1 focal length apart. Would you run out of light at a certain number of lensesThank you! I personally have collected quiet a few lenses but haven’t found a good way to line them all up thanks and keep up the great work! Gg
@Dreamprism
@Dreamprism Жыл бұрын
4:48 Funnily enough, I actually found your video by searching up the 4D Toys video on the Klein Bottle. I've been terribly behind on my KZbin subscriptions & am referencing old screenshots I took of thumbnails of videos in my subscriptions months ago to remind myself to get back to them later. I saw your video had a lot more views and was pretty recent so decided to check it out too. Wasn't expecting you to reference 4D Toys itself in it. :) Still waiting on Megiakure.
@davidpopolizio3781
@davidpopolizio3781 2 жыл бұрын
right at the end of the video the demonstration unlocked my ability to understand this and woah was that a weird feeling
@togakill158
@togakill158 2 жыл бұрын
my monkey brain cant understand. I just wanna see that bottle getting filled with water.
@taklugamer3516
@taklugamer3516 2 жыл бұрын
this man is trying to make us understand 4D on a 2D screen in this 3D world and the brain is 1D
@samdoesstuff4924
@samdoesstuff4924 Жыл бұрын
you're literally the only person that can make me understand how the fourth dimension works
@Grandwigg
@Grandwigg Жыл бұрын
Excellent video. And yes interesting i see it when I'm reading a series about a symbiotic alien rests against it's hosts skin liking like a tattoo with a fourth dimensional mechanic similarly explained. Good books and good video .
@HZP_88
@HZP_88 2 жыл бұрын
6:16, the movement of that " intersection " reminds me of how black holes bend light around them and do that " move ". So what if black holes are a door for 4th dimension?
@davemyers3553
@davemyers3553 2 жыл бұрын
Was thinking the same thing
@theworm7156
@theworm7156 Жыл бұрын
Gentlemen, we have found Einstein descendant
@julianames311
@julianames311 2 жыл бұрын
I still don't understand what the hell a fourth dimension is please continue to try to explain it
@DeepKumar.
@DeepKumar. 2 жыл бұрын
True, I'm more confused and curious to know about how things actually look in 4th Dimension
@igorgpark
@igorgpark 2 жыл бұрын
Whaaaaaaaaaat! I've been watching you since of the beginning of your channel, and you are awesome! "Salve" from Brazil
@biebkbejvwjvhev
@biebkbejvwjvhev 2 жыл бұрын
This was a very interesting video! When my grandma asked me what I learned today, I told her about this!
@armisis
@armisis Жыл бұрын
I always was told that 4D is time/change but that is everything anyway.
@nHans
@nHans 2 жыл бұрын
Obligatory footnote pointing out that idea of 2-D people is from Edwin Abbott Abbott's 1884 novella *_Flatland: A Romance of Many Dimensions,_* with a strong recommendation to read it if you haven't already! 👍
@glubtier
@glubtier 2 жыл бұрын
If you're reading it, it definitely puts more focus on the political/social commentary, but there are a couple movie adaptations. One of them, "Flatland: The Film (2007)" is on KZbin in its entirety, and while the animation is a little lacking, it gives you more of the visual aspect.
@CaptainChris55
@CaptainChris55 2 жыл бұрын
Bro this is so cool! I love this shape and really wanted a video on this! This gets a like.
@lillithemew3587
@lillithemew3587 2 жыл бұрын
The Action Lab: says "Mobius" Sonic fans: "you had my curiosity but now you have my attention"
@rubikscubemadeeasy3142
@rubikscubemadeeasy3142 2 жыл бұрын
Action lab is the best!
@mduvigneaud
@mduvigneaud 2 жыл бұрын
Slight misspeak on the PCBWay ad: you accidentally said "if you find a higher price somewhere else online." Obviously that should be "lower." Might want to add text to note that. :)
@donotlookatmydesc7223
@donotlookatmydesc7223 2 жыл бұрын
This takes quantum realm stuff to a whole new level
@odshotz2079
@odshotz2079 2 жыл бұрын
Man I love this KZbinr
@hsetrainingsguidance963
@hsetrainingsguidance963 2 жыл бұрын
Thanks for so much of knowledge 🇵🇰♥️
@jerimow8400
@jerimow8400 2 жыл бұрын
That makes perfectly good sense… Or does it?
@DeepKumar.
@DeepKumar. 2 жыл бұрын
Nope, I'm actually more confused 🤔
@kennylenny9890
@kennylenny9890 8 ай бұрын
The fascination with the “Klein Bottle” is the real mystery here. If what makes the shape unique is you having to pull it into another dimension, then there could be a Klein version of whatever shape you want. Just pull any piece of a shape into the other dimension. Then you realize the magic isn’t with the shape but rather the act of leaving the plane. So then we land in the “who cares” territory. The shape itself absolutely has an edge and intersects with itself. That’s okay though. If you don’t want the edges to touch, then don’t let it. Leave a hole in it. There’s nothing wrong with that. It looks cool!
@Freakopac
@Freakopac 2 жыл бұрын
i think the whole twist thing twist my brain the most
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