What Does a 4D Klein Bottle Look Like?

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  • Опубліковано 14 тра 2024
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    I show you what the difference is between a klein bottle in 4D vs 3D.
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КОМЕНТАРІ • 2,1 тис.

  • @TheActionLab
    @TheActionLab  2 роки тому +1032

    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 роки тому +15

      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 роки тому +5

      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 роки тому +6

      No a 3D person lives in 3D space. Why would you think we are 4D

    • @westonding8953
      @westonding8953 2 роки тому +15

      @@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 роки тому +3

      @@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.

  • @saidchammas
    @saidchammas 2 роки тому +4291

    I don't think i've ever seen someone explain a klein bottle and 4D so simply

    • @nooey1487
      @nooey1487 2 роки тому +262

      Agreed. He explained that very simply.
      And I still don’t understand it.

    • @BRNOOB_
      @BRNOOB_ 2 роки тому +30

      @@nooey1487 ngl, they got us in the first half

    • @DeepKumar.
      @DeepKumar. 2 роки тому +26

      @@nooey1487 Me too, some how I'm more confused now...😅

    • @westonding8953
      @westonding8953 2 роки тому +8

      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 роки тому +3

      @@godisfraud you're not very bright are you

  • @Square_Peg
    @Square_Peg 2 роки тому +5779

    I just can't wrap my mind around what anything in the 4th dimension would look like

    • @GurrenPrime
      @GurrenPrime 2 роки тому +1094

      Well, that makes sense considering our brains are only 3D

    • @GeoffCostanza
      @GeoffCostanza 2 роки тому +769

      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 роки тому +209

      Well, that makes sense considering it doesn't exist

    • @westonding8953
      @westonding8953 2 роки тому +80

      Nobody can. Lol

    • @Qaptyl
      @Qaptyl 2 роки тому +91

      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

  • @user-dc9rf1sy1m
    @user-dc9rf1sy1m 2 роки тому +439

    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 2 роки тому +10

      You've read flatland I'm sure right?

    • @taylorchasesteele
      @taylorchasesteele Рік тому +29

      My thoughts exactly. You wouldn't be able to comprehend much shape at all in the 2nd dimension

    • @porterwhitaker8775
      @porterwhitaker8775 Рік тому +14

      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 Рік тому +10

      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 Рік тому +11

      That's like saying we cannot see spheres and can only see circles

  • @clintonleonard5187
    @clintonleonard5187 2 роки тому +225

    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 роки тому +43

      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 роки тому +30

      @@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 роки тому +25

      Ok 4d is werid let forget about it

    • @nydydn
      @nydydn 2 роки тому +8

      @@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 роки тому +8

      @@Omegka Basically, you can manipulate lower dimensions from the higher ones, but not the other way around.

  • @KateLB1027
    @KateLB1027 2 роки тому +1478

    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 роки тому +5

      For real

    • @quietflint1
      @quietflint1 2 роки тому +8

      She's lying probably 🤫

    • @Insanearc
      @Insanearc 2 роки тому +8

      @@quietflint1 they might not even be a girl. But hey, who are we to know

    • @quietflint1
      @quietflint1 2 роки тому +3

      @@Insanearc Righty O!

    • @KateLB1027
      @KateLB1027 2 роки тому +17

      @@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.

  • @Rawny
    @Rawny 2 роки тому +109

    6:26 The "bottle", then the 2d line on paper then back to the "bottle" was a GREAT visual explanation! ty!

    • @gonegahgah
      @gonegahgah 2 роки тому +4

      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 Рік тому

      @@gonegahgah They use it to water their plants 😂

  • @Quklasa
    @Quklasa 2 роки тому +12

    I've always been fascinated by non-orientable shapes, this was such an interesting way to help someone understand it!

  • @kaysonhall7243
    @kaysonhall7243 Рік тому +5

    Whenever I watch your videos, I have no idea what you’re talking about half the time, but that’s what makes it enjoyable.

  • @MuzikBike
    @MuzikBike 2 роки тому +277

    Finally some recognition for 4D Toys! An absolute masterpiece of a simulation program.

    • @hardwareful
      @hardwareful 2 роки тому +8

      Yeah, sadly this video isn't really making good advertising for 4D Toys or Miegakure.

    • @NVidea-yz1fg
      @NVidea-yz1fg 2 роки тому +1

      Now we only have to find a manufacturer for such toys. ^^

  • @riduanaqil1452
    @riduanaqil1452 2 роки тому +1

    This is amazing! Even when i though i understand the subject, you still makes me interested and i ended up learning something new

  • @KjllShot
    @KjllShot 2 роки тому

    First time ever ive been able to properly visualize this, that's amazing!

  • @kelvinle8662
    @kelvinle8662 2 роки тому +506

    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 роки тому +30

      a portal helps explain, thank's

    • @TheStegosaurus_
      @TheStegosaurus_ 2 роки тому +31

      Yes, and this portal is the next/4th dimension

    • @mjsthetopshelf
      @mjsthetopshelf 2 роки тому +6

      Yes helpful.

    • @J.A.huscher
      @J.A.huscher 2 роки тому +4

      I'm gonna go through it

    • @ellsomach
      @ellsomach 2 роки тому +6

      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

  • @tiusic
    @tiusic 2 роки тому +464

    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 роки тому +3

      What colour is the intersection plane?

    • @tristan6773
      @tristan6773 2 роки тому +28

      @@gonegahgah it was a smooth transition in my mind. Very nice visual representation thanks

    • @ticiusarakan
      @ticiusarakan 2 роки тому +9

      field's representation. very clever) so can we declare that 3d space it self is a field of energy?

    • @emmi8899
      @emmi8899 2 роки тому +3

      this made so much sense and actually helped me visualize it, thank you!!

    • @myowncomputerstuff
      @myowncomputerstuff 2 роки тому +7

      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.

  • @jacobdoehrmann6788
    @jacobdoehrmann6788 2 роки тому

    The 2D, 3D analogy was amazing as a way to grasp that concept! Thanks!

  • @cookingwithchicca4627
    @cookingwithchicca4627 2 роки тому

    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! :)

  • @cmyk8964
    @cmyk8964 2 роки тому +26

    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 місяців тому

      oh nice

    • @BIackhole
      @BIackhole 2 місяці тому

      Thanks for this nice information!

  • @sophiedenise
    @sophiedenise 2 роки тому +32

    The "Dude... what if you... like... sewed two mobius loops together..." at 0:30 cracked me up

  • @eduardokrummenauer9037
    @eduardokrummenauer9037 2 роки тому

    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

  • @slappyrats
    @slappyrats 2 роки тому

    How the hell have I not subscribed after watching you all these years?! You're great! 😍

  • @Bootleg_Jones
    @Bootleg_Jones 2 роки тому +157

    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 роки тому +2

      its

    • @newjerseyhater9237
      @newjerseyhater9237 2 роки тому +14

      @@Noah_Zion I like how you corrected the punctuation rather than "like" where they meant "life"

    • @SwordSprite
      @SwordSprite 2 роки тому +3

      @@newjerseyhater9237 they said life tho? XD (not trying to be rude :)

    • @spacexplorer_
      @spacexplorer_ 2 роки тому

      @@newjerseyhater9237 I don't think an apostrophe is punctuation though.

    • @newjerseyhater9237
      @newjerseyhater9237 2 роки тому +1

      @@spacexplorer_ well it is a punctuation mark and related to commas so

  • @hannesaltenfelder4302
    @hannesaltenfelder4302 2 роки тому +76

    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 роки тому +9

      Okay but share the video please!

    • @BrendaMartinez-yg6qj
      @BrendaMartinez-yg6qj 2 роки тому +5

      Hello! What was the video? Can you please share with us?

    • @ProfessorOof
      @ProfessorOof Рік тому

      @@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

  • @shafayetarish5616
    @shafayetarish5616 2 роки тому

    Very much informative. Loved the way you explained it.

  • @rodjori
    @rodjori 11 місяців тому

    The best explanation about the subject. Thanks! Fantastic video!

  • @trenboloneacetate1
    @trenboloneacetate1 2 роки тому +264

    I wish we could imagine how it would actually look in the 4th dimension

    • @gonegahgah
      @gonegahgah 2 роки тому +8

      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 роки тому +54

      @@gonegahgah what.

    • @editname6868
      @editname6868 2 роки тому +27

      @@gonegahgah do you need grammarly

    • @editname6868
      @editname6868 2 роки тому +2

      God I hate this new... commenting... format thing

    • @gonegahgah
      @gonegahgah 2 роки тому

      @@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?

  • @westonding8953
    @westonding8953 2 роки тому +177

    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 роки тому +4

      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 роки тому +30

      @@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 роки тому +13

      @@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 роки тому

      @@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 роки тому +14

      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.

  • @aking5469
    @aking5469 Рік тому +56

    Wow. he explained the 4D really easily and I still don't get it.

    • @ruhto828
      @ruhto828 6 місяців тому +1

      no one in 3d can get it

    • @skaruts
      @skaruts Місяць тому +1

      @@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.

  • @youareiamurim
    @youareiamurim 2 роки тому

    This was the best 4d explanation i have ever seen! 💪🔥

  • @angeloarugay8672
    @angeloarugay8672 2 роки тому +15

    “So what we have here is a klein bottle”
    “This isnt actually a klein bottle”
    BETRAYAL

  • @UNBOXBURRITO
    @UNBOXBURRITO 2 роки тому +17

    I find your explanations of the 4th dimension better than anyone else I've seen.

  • @shubhendumishra1421
    @shubhendumishra1421 Рік тому

    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.

  • @IssacKris
    @IssacKris Рік тому

    I love this channel. Thank you for making me learn Physics again

  • @mikosoft
    @mikosoft 2 роки тому +50

    I have a pretty good understanding of what it means to move through 4th dimension but seeing it visually still completely breaks my brain.

  • @mastershooter64
    @mastershooter64 2 роки тому +3

    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 роки тому

      I click this video the second I saw the title, thought this is a new Cliff Stoll video!

  • @williamvanniekerk5608
    @williamvanniekerk5608 2 роки тому

    As alway, an amazing video, well done man✌🏻💫

  • @trixgames1
    @trixgames1 2 роки тому

    It's because of you I know understand the klein bottle. It took me years to understand it. Thank you

  • @tamardaniel2115
    @tamardaniel2115 2 роки тому +5

    This is absolutely amazing and mind blowing 🤯 👏🏿 🙌🏿 😍 this is taking my love of geometry to a whole new level! Thank you!!

  • @FixingGears
    @FixingGears 2 роки тому +7

    This guy is amazing in every science topic 😍 u really make things easy to understand..thank you sir🙏

  • @barcodereader
    @barcodereader 2 роки тому

    I love how he just gets straight to the point.

  • @skarfacegaming243
    @skarfacegaming243 2 роки тому

    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 5 місяців тому

      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

  • @rayoflight62
    @rayoflight62 2 роки тому +62

    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 роки тому +4

      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 роки тому

      I like the idea and would appreciate if I could find a demonstrated of this technique

    • @amaneyuuki6569
      @amaneyuuki6569 2 роки тому +2

      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 роки тому

      @@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 роки тому +1

      @@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.

  • @custos3249
    @custos3249 2 роки тому +6

    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.

  • @aloph7329
    @aloph7329 2 роки тому

    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 Рік тому

      So Hypothetically, if I make a physical 5D Klein Bottle, that's time travel.

  • @abhishrutimandal880
    @abhishrutimandal880 2 роки тому

    I had never understood what 4D space is like in the first place. And this video really got me

  • @konoveldorada5990
    @konoveldorada5990 2 роки тому +3

    Teacher: *It's a square.*
    Loki: 5:11

  • @krishcshah
    @krishcshah 2 роки тому +4

    You never fail to blow my mind away.

  • @niladisify3811
    @niladisify3811 2 роки тому

    This is one of your best videos.

  • @jbonaful
    @jbonaful Рік тому

    This has been one of the most helpful visual explanations of the fourth dimension.

  • @rowangi
    @rowangi 2 роки тому +10

    I really like these videos!! Like a lot!! Thank you so much for making these and teaching us all so much!

  • @KaiCyreus
    @KaiCyreus 2 роки тому +7

    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 роки тому

      Same here

    • @gonegahgah
      @gonegahgah 2 роки тому

      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…

  • @vosid977
    @vosid977 2 роки тому

    thank you for all. i love them all

  • @aryankalal5567
    @aryankalal5567 2 роки тому

    The best explanation till now😎

  • @plweis7203
    @plweis7203 2 роки тому +3

    Superb explanation- thank you.

  • @unvergebeneid
    @unvergebeneid 2 роки тому +4

    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!

  • @mixey01
    @mixey01 2 роки тому +2

    Another exciting and informative video even during the PCBway segment
    Science rules!!!

  • @sarahfonda4714
    @sarahfonda4714 2 роки тому

    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

  • @mike1024.
    @mike1024. 2 роки тому +3

    4:31 is when the sponsor ad ends.

  • @danielbickford3458
    @danielbickford3458 2 роки тому +4

    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

  • @leedamren4387
    @leedamren4387 Рік тому

    This is the best explanation of a 4d object I have ever witnessed.

  • @killuagamez
    @killuagamez Рік тому

    He sounds so nice and explain so simply I wish he was my science teacher

  • @abhisharmaviii-f7506
    @abhisharmaviii-f7506 2 роки тому +166

    This guy never disappoints with his content

  • @togakill158
    @togakill158 2 роки тому +8

    my monkey brain cant understand. I just wanna see that bottle getting filled with water.

  • @fin4711
    @fin4711 Рік тому +2

    these at 2am feels like im learning something

  • @igorgpark
    @igorgpark 2 роки тому

    Whaaaaaaaaaat! I've been watching you since of the beginning of your channel, and you are awesome! "Salve" from Brazil

  • @tinkiewinkiification
    @tinkiewinkiification 2 роки тому +3

    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

  • @steveburke1519
    @steveburke1519 2 роки тому +20

    2:16 They would not see a circle; they'd see a line equal to the diameter of the circle.

    • @rgerber
      @rgerber 2 роки тому +2

      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 роки тому +1

      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 2 роки тому

      @@sticlavoda5632 I guess the 2D man would see a color from each direction as he rotates around 360 degrees.

  • @daltontinoco7084
    @daltontinoco7084 2 роки тому

    He did it. He made my favorite shape. My hero

  • @franksprachen
    @franksprachen 2 роки тому

    My brain just changed completely. Thanks for this video.

  • @David_Mash
    @David_Mash 2 роки тому +3

    Higher price match? Lol just teasing. Fun video. Thank you!

  • @westonding8953
    @westonding8953 2 роки тому +7

    The intersection points prevent the 3D immersion of the Klein bottle from being a manifold. You have to exclude them.

    • @westonding8953
      @westonding8953 2 роки тому +1

      @@godisfraud You would understand it if you understood manifold geometry.

    • @jhaz89
      @jhaz89 2 роки тому +1

      @@westonding8953 Oh yeah, manifold geometry. I had that right after History and before English.

  • @Grandwigg
    @Grandwigg 2 роки тому

    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 .

  • @clichepuff2010
    @clichepuff2010 2 роки тому

    Wow I understood 4th dimension for the first time in my life ! XD
    Thankyou so much!

  • @deltadrom9013
    @deltadrom9013 2 роки тому +3

    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 роки тому

      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 роки тому

      ​@@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 роки тому

      @@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.

  • @Deathworm-eg5lt
    @Deathworm-eg5lt 2 роки тому +11

    0:12 morbius loop 😳 😳

    • @thelightknight4772
      @thelightknight4772 10 місяців тому

      Its the loop of all time 🔥🔥🔥🤨👾🇸🇪🤐

  • @Dreamprism
    @Dreamprism Рік тому

    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 UA-cam 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.

  • @user-ez8oc4xf9m
    @user-ez8oc4xf9m 2 роки тому

    Amazing explanation

  • @sanbyar5059
    @sanbyar5059 2 роки тому +4

    Never been more curious to learn about science

  • @brandlls
    @brandlls 2 роки тому +3

    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

  • @biebkbejvwjvhev
    @biebkbejvwjvhev 2 роки тому

    This was a very interesting video! When my grandma asked me what I learned today, I told her about this!

  • @RolandRhodes1
    @RolandRhodes1 2 роки тому

    Mindblowing. Great video

  • @ThePrufessa
    @ThePrufessa 2 роки тому +4

    AL: what a 4D Klein bottle looks like
    Me: can we learn what a 3d Klein bottle looks like first?

  • @taklugamer3516
    @taklugamer3516 2 роки тому +11

    this man is trying to make us understand 4D on a 2D screen in this 3D world and the brain is 1D

  • @davidpopolizio3781
    @davidpopolizio3781 2 роки тому

    right at the end of the video the demonstration unlocked my ability to understand this and woah was that a weird feeling

  • @devionspectre777
    @devionspectre777 2 роки тому +1

    Interesting, i love how u to explain this..

  • @premkumarkardale2976
    @premkumarkardale2976 2 роки тому +5

    Hey bro collide two protons and create huge energy

  • @SirChakaWilliam321
    @SirChakaWilliam321 2 роки тому +11

    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 роки тому +3

      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 роки тому

      @@jk743 Well said.

    • @sunji5390
      @sunji5390 2 роки тому

      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.

  • @CaptainChris55
    @CaptainChris55 2 роки тому

    Bro this is so cool! I love this shape and really wanted a video on this! This gets a like.

  • @sagarpuri7838
    @sagarpuri7838 2 роки тому

    Great explanation

  • @rubikscubemadeeasy3142
    @rubikscubemadeeasy3142 2 роки тому +2

    Action lab is the best!

  • @mduvigneaud
    @mduvigneaud 2 роки тому +3

    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. :)

  • @grimifu8
    @grimifu8 Рік тому

    It's really cool that we can figure out what 4d things look like partially

  • @pavangrandhi
    @pavangrandhi 2 роки тому

    Really cool explanation

  • @julianames311
    @julianames311 2 роки тому +4

    I still don't understand what the hell a fourth dimension is please continue to try to explain it

    • @DeepKumar.
      @DeepKumar. 2 роки тому +1

      True, I'm more confused and curious to know about how things actually look in 4th Dimension

  • @HZP_88
    @HZP_88 2 роки тому +3

    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 роки тому +1

      Was thinking the same thing

    • @theworm7156
      @theworm7156 Рік тому

      Gentlemen, we have found Einstein descendant

  • @odshotz2079
    @odshotz2079 2 роки тому

    Man I love this UA-camr

  • @Kotifilosofi
    @Kotifilosofi 2 роки тому

    After watching a few videos trying to get it, I think I finally understand what 4D means (call me slow lol). It's the ability to see the complete actual shape of the things, right?
    For example (call me a nerd lol), if you have an anime character, they normally have very small, nearly invisible nose, when you look them from the front. In 2D anime if you look the characters from the front, you may see nearly nothing, like maybe just a tiny little dot or line or a little dark area marking the shadow of the nose. But the same character still has a visible nose when you look it from the side. When you have a 3D figure of the same character, you can view it from the different angles and realize that it does have a thin pointy nose, even if from the front it becomes nearly invisible for the eye to detect. But if you made a 3D character of the figure, you'd use sculpturing programs where you can simultaneously see the complete shape of the head and the nose. Of course the surface areas need to become partially transparent in the program for you to be able to see the actual shape. That would be the 4D version of the character made possible for us to perceive.
    Thank you for the interesting video!

  • @nHans
    @nHans 2 роки тому +4

    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 роки тому

      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 UA-cam in its entirety, and while the animation is a little lacking, it gives you more of the visual aspect.

  • @armisis
    @armisis Рік тому +3

    I always was told that 4D is time/change but that is everything anyway.

  • @dweb
    @dweb Рік тому

    Wow, impressive! Thanks!

  • @daddy7860
    @daddy7860 Рік тому +2

    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