Or it basically proves there two sides to everything that happens When a Person is born , he/she is not born When a Person is dead, he/she is not dead When a Person is eating,he/she is not eating Basically there are two dimensions in the flow of time(could be infinite),Supposedly we may be mistaken that a time machine doesn't travel back in time, it simply help us move through dimensions , that way the guy from Dimension 1 travelled to Dimension 2 to kill his grandfather and he never gets born in Dimension 2 there thereby continuing the flow of time in Dimension 2 while Dimension 1 stays completely unaffected
@@gtaofficial6507 no Time machine can only help us travel through 2 opposite dimension , u just travelled to 2nd dimension where your friend never existed to kill his grandfather thereby continuing the timeline of 2nd dimension(ur friend doesn't come to exist in 2nd dimension while he does exist in 1st dimension and no time machine cannot be used to travel back in time in the same dimension , it's maybe like a bridge which helps us travel back in time in opposite(2nd dimension) dimension thereby solving the Grandfather paradox
This freaked me out. 10 years ago I had no idea of this concept. 10 years ago I smoked DMT for the first time... My experience was not like the stereotypical one you read accounts of on the internet. I was simply presented with shape in a void... I described it to friends as "an impossible shape sorta like a figure 8 ,that was both consuming and expanding itself at the same time" it was what I now know to be a Klein bottle. I believe now that this vision was more profound than I originally thought.
Morbius really is one of the movies of all time, they even created paradoxes Edit: Morbius is so popular it was even used by Jolyne in the hit anime Jojo’s Bizarre Adventure
@@andrewscampfire What happens at 3:52 is super SUOER hard to visualize..would anyone even visualize it correctly of not shown..even Ramanujan..I doubt it..injust don't see how..when you try to picture it it looks like the strip would still be cut into two pieces..
The grandfather paradox is a hoax! Because no matter if you kill your parents in the past before being born and this is because you are already physically existing. So basically you can kill all your parents from the past to than come back in your time still alive.
@@c_dubbzz6127 it's one of those "i think you accidentally a word" or "have a day" kind of joke, where a word is left out intentionally for comedy, in this case, he left out the word, "best" or "greatest" or something like that, to insinuate that it's mundane or even bad. Which is why i said i disagree, since the video maker clearly put a lot of love into making the video, and it shows.
@@c_dubbzz6127 it was originally a meme started by the film morbius' less than flattering reception among fans and critics. For some godforsaken reason, it became a meme, and it is now everywhere with vaguely similar names to morbius
Man, you've explained it so well! Although I still failed to visualize the Klien Bottle in the Temporal Dimension, but man definitely a lot of valuable lessons!
Great video! There's just one small but cool thing I want to point out. Let's say you lived in a 2D world, like Squirrel. You would not see 2D, shapes like in the video. Take a paper and draw some shapes on it. Then, squeeze your head into the table(or whatever) to get into their perspective. While you see across the paper, you will notice that Squirrel can only see lines. While Linus, living in a 1D world, can only see dots(or 0D if you will). Furthermore, we, living in a 3D world, can only see 2D shapes. Then our brains just puts them together to understand the 3D world. You get it. We can't see the other side of stuff, because we can't see all dimensions of our world at once. And while we living in this universe can't see all the sides of a 3D object at once(unless it's clear of course but that was not the point), someone living in a 4D world on the other hand, could look down at our 3D universe and see everything at once. They could just sight above of what to us are closed areas(just like we could easily see the inside of a 2D box). And they could see all the sides of an object at once. While we could never look back and would have no idea if they were watching us. So think about that next time you think you have privacy!
Correct me if I'm wrong. But the fact that we don't see the fourth dimension is because we are in the fourth dimensional world not the third. I hope I didn't misunderstand you.
@@sheadick4899 No, we technically can't see 3D objects. We can only see 2D stuff from our perspective. For example when I look at a sphere, I see a sircle. But since the edges of the sircle appear darker, my brain tells me it's a sphere. Or when I look at a cube, depending on the angle, a see some rhombuses put together, and then my brain tells me it's a cube. But I can't see all the walls of the cube at once from one angle. Imagine you draw a stickman named Bob on a paper. If you draw a line next to Bob, he could not see the other side of it. And if you draw a box, and put a potato inside it, Bob could not see the potato. But we can easily see everything, because we can see all of the lines and 2D shapes at once. Hope that was a good explanation!
Finally, someone representing the fourth dimension that’s not just showing a sphere appear and get larger and then smaller and disappear. That last bit of showing what the edges of a Mobius strip look like going through the second dimension and then correlating that with the Kline bottle in the 3rd dimension was much more creative and did a better job of helping me try to conceive of it.
I know, right? Even more frustrating is that a hypersphere, the 4D equivalent of a sphere, looks nothing like that. So people who are trying to visualize all this stuff are not only not helped by the metaphor, it's actively harmful to the ability to understand basic shapes in the fourth dimension.
I'm a math student, I have a topology exam on Monday. This video is really fascinating, and connects to a whole bunch of things we defined and did formally in our courses. Thanks!
I dont know what you do for a living but you should go into teaching, the way you explain concepts is fantastic. You have a wonderful ability to take a complex subject and break it down and simplify it. Excellent video, great work.
This is probably the best introduction of some tricky geometry concepts, and a great explanation of Möbius Strips and Klein Bottles, that I've seen on RUclips. The one critique I have is sadly about the very end: I believe you moved the camera to accompany the music, but the movement ended up getting in the way of a clear visualization. Still, great video!
Yeah...its only even slightly tolerable at x.25 speed...the heinous addition of those rapid, chaotic jump cuts completely ruins the climax of the video and any chance of it doing what it was created to do...help visualize something. Whoever had the idea to take massive creative liberties with a *scientific principle demonstration video* of all things, especially when they were tame most of the video til being turned up to 11 for the hardest one to understand and most in need of clarity...they must've been smokin that fuckin gasoline. Great video up until the end, but unfortunately does not stick the landing at all. You can even tell by the grandiose textures and lighting sequences and whatnot used in the final render that clarity of scientific principle was clearly taking backseat to "style" and the generic flashy=good youtube formula for views. A shame really.
The thing is, you would never make sense of that representation. Nobody would. That part of the video isn't an explanation. That part is art. So let it sync up with the music.
Dude. I’ve seen what feels like endless videos on Klein bottles and Möbius strips to the point where it became mundane, and I almost didn’t watch because of it. Something made me watch, and I have to say this is probably the best video on the topic by far by building up so well logically to such a mind blowing visual. Thank you for this.
When you lift the intersecting line of the 2D Möbius Strip, it all instantly makes sense! To make the Klein Bottle not "intersect", it's needed to be put in the 4th dimension!
This is by far the best video I've seen ❤️❤️❤️. How on earth can anyone explain 1D, 2D,3D,4D,temporal dimension, mobius strip, Klein bottle all in a 13 minute video so perfectly..! Kudos man...! Just loved it🤩
Hello! Great video, although I will say I think the final clip of the klein bottle visualization through time would have been more impactful without the camera cuts. I think part of lower dimensional beings seeing cross-sections throughout time is that they can easily compare the new part to the old part, but when the camera jumps around it makes that much harder to do. Still excellent job! Very good explaining.
The only error I can see would be that the flatlander and linelander wouldn't see it the way you show. The line lander would only see a point, and the flatlander would only see a line, not the shape as a whole . The same way you cant see a full 3d object. Only a "flat" 2d representation of it constructed by our eyes. Aside from that(which was probably done for teaching sake) this video is amazing in almost every way.
This is one of the single best explainer videos I have ever seen. It is systematic, it doesn't assume prior knowledge so it's accessible to all. The visualizationz are well done. And deapite the enormity of the amount of time I think about higher dimensional spaces and time travel, I still learned a new thing (namely the Möbius strip solution to the grandfather paradox)
Whenever I see a Klein bottle, I think about how the "smaller" part just looks smaller because it is further away. And because the "intersecting" parts are of different apparent diameters despite actually being the same diameter they cannot be in the same place as one another. A Klein bottle is just what happens when you make a Mobius out of a cylinder instead of a strip.
The part where you explain the mobius strip was really well done. I watched the Klein bottle rendering like 30 -40 times in slow mo but still not able to visualize how it would look like 4D. Fascinating stuff
I really don't understand how this doesn't have as many views as it should have, this video is truly amazing. I still don't quite understand how to visualize the klein bottle, i've seen many representations as that one at the end but my stupid 3D brain just can't understand. (it would be nice to actually see it in 3D one frame at a time, like with a hologram because now i'm seeing it in 2D with my screen) I hope that one day we might will be able to build something in 4D to make certain gaps in space possible that in 3D would be closed off spaces. I wonder, is it hard to understand in 4D because of limits with biology or just the universe we live in or because we're used to seeing objects in 3D.
A cool way to think about it is just imagine two rings or circular strips that trace out the Klein bottle's surface over time. They start at the same point at the same time, and leave in opposite directions, moving through space (and time) tracing the shape of the bottle. At the 'point of intersection', one of the rings simply gets there before the other, so they're not at the same place at the same time, until they meet up at again. So using 4D with time as the 4th dimension, it's possible to have a Klein bottle with no self intersections. I made a demo of this in Geogebra a while back, similar to the one above but maybe easier to understand - I just have to finish it. Check back.
It's nice to see more 3d-slice visualizations of the klein bottle! The first and only other one I saw do this was 4D toys. To be clear, I think a 1D creature would more accurately see, from their perspective, a point changing its distance and same with the 2D creature which wouldn't only see a line changing its width, but for demonstration purposes I totally understand why you used a 3rd-person perspective of the geometry in the video.
Shading tells a lot about the shape. It could work in 2D, sadly I don't think it would work in 1D, but 3rd person is still easier for us to visualize than trying to show unfamiliar shaded lines that would 2D being see
but in flatland (2d space) he had to move around the mobius strip at every slice in time to tell there is no intersection. because he can only see lines and the interesting thing is behind the line. 2d guys can only see 1 dim. and only the use of x and y give them a clue of 2d.
Perhaps you could use colors to visualize extra dimensions? E.g. the parts of the Klein bottle that seem to intersect would actually have different colors, i.e. 4th-dimension coordinates
3:40 This explanation doesn't really explain the phenomenon. You can similarly cut a cylinder in half through the center without ever reaching its boundary, and it will nevertheless result in 2 separate pieces. I believe it's more readily seen using identification diagrams. Also, that solution to the grandfather paradox was really neat. I'd never seen it solved that way.
You could flatten a cylinder ( 2D-ish ) and cut it in halve, and then restore it to 3D. You will have two cylinders. You cant flatten the Mobius strip to 2D, it wil tear. You can't squish the turn of the mobius strip into 2D. It needs the third dimension to exist. So the cut will never reach the boundary as it would with a flattened cylinder, where the boundary would be the end of the cylinder, right before it turns into two pieces. The cut, just like the ant, will follow the mobius strip because It cant be flattened. The boundary of the mobius strip, right before it would turn into two pieces is, just like the ant, "infinite" and wont be reached.
Its not an oversight. The point is that the möbius strip only has one side while a cylinder has 2. If the möbius strip was to be cut into 2 without cutting the boundary, then that wouldnt happen
I have to say that this is easily one of the most understandable ways I have watched to try to understand something that I am not meant to understand. With what my brain already struggles to comprehend you have (in this video) managed to get me closer to understanding. You have a new subscriber in me. It makes me wonder even more what human beings do not see around us due to our limitations? Now I'm going to watch it again and sit in awe at how little I actually know. Your explanation of the grandfather paradox was so easy to understand when explained against the mobius strip.
I'm soo glad you touched upon the grandfather paradox! It never made any sense to me how people would call it a "paradox"... in my mind this was automatically a loop in which all possible states and simultaneously exist! And now I have a proper mathematical explanation as to how that is possible! Thank you very very much! Also, this was a really great video! Keep it up!
There is also another solution to the grandfather paradox where there must be something that always stops you from going to kill your grandfather when you go back in time, since you clearly are alive and your grandfather didn't die. Kind of like a Wile E. Coyote and Road Runner situation lol
@@cl4655 Holy! Wow that is an interesting way to think about it! Since something is a fact then you cannot change it by going back in time... but going back in time could be a way to go inside and watch what happens exactly in those times... but nothing would change because that was supposed to happen... It is like a hyper determined "fractal" of time traveling... I don't know why that word was stuck in my mind while I was looking at your reply... "Fractal"... But I guess the simplest answer to such a hyper determined universe would be just that time travel is impossible... so you can never kill your grandpa before you were conceived... but it's certainly not the only answer I would really like to expand on this idea! this was such a cool thing to think about! Thank you!
In my opinion, the mobius strip comparison doesn't work in this specific situation as an explanation for the grandfather paradox, as the mobius strip is complete, but the time period from 1940 to 2000 is only 60 years, and time did not start in 1940, meaning to represent year 1939 and before you need to connect a straight line to the mobius strip, which itself breaks mobius strip, turning it into a different shape The only way the mobius strip analogy could work is if the mobius strip encompasses all time, making the starting point the beiggining of the universe and the finish point the end of the universe
At 12:30 I thought I was ready for the experience. At 13:00 I realized I wasn’t 😅 I wish there where more angles and/or a longer animation to view this Klein bottle passing through our 3D space. Nice video!
We as humans don't jump cut to different places in space, wish we could see more like the squirrel character. First time experiencing 4D and we have to parse where we are looking from as well, is hard >_
@@ren_ergy we see in 2D and understand 3D, a 4D being can see in 3D because they can be in 2 or more places at the same time I'm guessing, hence 1 mind seeing 4 or more sides of a cube at the same time. just as we see more than 1, 2d face of a 3D object at once.
This is 🤯🤯🤯🤯 absolutely amazing animations!!! This animator deserves huge applaud... 12:38 this is the animation where I truly could visualise what a Klein bottle is!!!!
Best video out there that brilliantly illustrates dimensions and our perception of it and what time has to do with all of it!! Just great! Thanks for the effort
I do really love the explanation! I can understand all of them. But, the 4D projection of klein bottle into 3D at the end kinda makes me nauseous because the camera seems to jump and rotate randomly. Does anyone have the animation of that with a camera that doesn't move?
The movement made it dificult for me too… Try at 0,25 speed, it helped for me. You can it that is kinda like a cilinder entering itself to make a smaller cilinder that conects to its tail on the 4th dimension
@@nikzebnikzeb1389 the bottle needs to move in the 4th dimension to show the effect, true, but the camera should've stayed in a fixed position for clarity.
Incredible video and great explanation! I actually got my wedding ring made in a mobius strip shape (not cheap). When I first realized it only has one side I just ran my finger along it and arrived at that conclusion. How it's related to time, outside of an inverted mobius strip in Avengers Endgame being mentioned, I had no idea about that. So cool!
I knew about mobius strip and klien bottle for a long time but I was never able to grasp on how I can imagine it. This has given me a true perspective. Thanks for this. Brilliant work
This is the best visualization of the Möbius strip I've ever seen. 4:06 Noting the boundaries (edges) of the loop is key. You could also show what happens when you cut the strip into a 2n (even) and 2n+1 (odd) number of parts. All odd cuts will end up with a separate (but entwined) ring. It's not clear, though, if all even cuts will end up with a single loop or multiple separate intertwined loops.
I would love to see a part 2 of this that goes into more detail and shows more time assisted visualizations of the Klein bottle! (Also the fact that a Klein bottle is made from multiple mobius strips which is was shocked to not see mentioned considering the emphasis on them!)
@@cooly1234 only part of it needs to be in the fourth dimension, and that’s only where the bottle self-intersects. Here’s another video on it: ruclips.net/video/N_4VaG7ZQE8/видео.html
Ohhh that klein bottle timelapse at the end has given me a better understanding of 4d shapes than any other demonstration ive seen, thank you for sharing this
This video is so well made! The camera angles on the representation of the Klein bottle made it difficult for me to process what I was seeing, but everything else was perfect
Ok normally i don't write many comments but i have to say it. This video is so incredibly well done! Haven't listened so carefully to a video in a long time and wasn't even in the comments. just fantastic! Thank you very much!
Mannnn, you've done an amazing job on this! This is high quality stuff! Why is your channel not having a lot more subscribers and this video is not having many views. I'd say keep putting out great stuff, it'll pay off overtime.
Wow your interpretation of topology, manifolds, boundaries, and dimensions is so so so simple. I never understood these. And the example about 1D and 2D "organisms" are so interesting and easy to understand. I remember there's an animal with 2D vision, and I've always wondered how it sees the world. Now I kinda know!!! Thanks a lot!!!!
I agree but in the video you might notice that a 1D life being should be able to see a point to appear and disappear rather than a line. Instead a 2D life being should be able to see a line rather than circles and squares. Indeed a 3D life being in our universe can see 2D shapes to appear and disappear
I would love to see you try to discuss the Moebius strip version of the Grandfather Paradox as it would appear to everyone who is not traveling back in time. How does the duality of the timeline look to those who aren't part of the closed time loop, and do they perceive you as being alive or dead?
I think it depends on the loop. Like if ypu exist they know you now, next time you won’t be born so they wouldn’t know you. I think it will help to think about it as diffrent version of your self and the world that changes every time like an oscillating movement. I am not sure tho it’s how I think about it.
@@ahlamamr4659 The whole point, though, is that if you're outside the loop, past the point of the loop-back, what do you remember? Allegedly, there's only one timeline at that point, after all.
I believe the answer is that there 2 different time lines actually, one where you existed but no longer exist, and one that you have never existed. I believe this explains the multitude of universes, since for every decision made there is the other one being made as well in a parallel, similar but not quite the same universe, multiplying actually the strings of possibilities to infinity.
@@vas7ilissi8 Right, that's multiverse theory. My understanding - though @Andrew's Campfire is welcome to correct me if I'm wrong here - was that the video was positing that the Mobius Strip explanation reconciled the grandfather paradox to not require two timelines.
I watched the video, became amazed by the high quality of ideas, explanations and animations presented in it, and then discovered that you have only 873 subscribers????? You obviously fit in the millions of subscribers league, I'm serious. Please keep it like that, you'll blow up in seconds! Can't wait for the next one.
This is more than amazing.. I have seen too many videos that try to explain the 4D shapes and how we can be able to visualize or see them.... But my friend your vid is one of a kind.... It's simiply spectacular...
HOLY SHIT THAT WAS BEAUTIFUL. The animations are unparalleled! I've never seen such good animation in any educational video. Plus the amazing lighting, music and transitions, the whole flair for the dramatic really pleases the cinephile in me. Keep up the great work, man! This is brilliant.
Absolutely mind-boggling video! The material, the editing, the sequence, the ideas, every single letter in the script has been meticulously worked on. And the rendition of the temporal dimension is something that I have not seen any other RUclipsr do. Even George Gamow in 'One, Two, Three, Infinity' hasn't given as good an idea of time as you here.
Found this video out of nowhere recommended in my youtube recommendations. Your animations and explanations are so clear and perfect. Sad to see you stopped making new content at least a year ago. Hope it's all going well with you.
I appreciate the way you've described things and the visuals you've used. I am a visual learner and have never taken physics so this is really stimulating and helpful. (learning just for fun and you put the fun in it.) Thank you!
Oh wow the representation is so beautiful i cant believe it is even possible to create this animation. It still feels illegal to see the passage of time of the klein bottle The last clip gave me goosebumps and honestly it is the closest representation of 4D object that I have ever seen.
Excellent; especially the "grandfather" paradox. That a Möbius strip is created by a single 'belt' twisted then connected reminds me of the quantum spin issue for electrons. That is, such spins require a double twist to return to their original configuration.
wow! first of all this video has to be the best explanation for 4D. For the Grandfather Paradox, I was able to relate this to the basics of Quantum Mechanics, in which just like we have a BIT consisting of either 1 or 0 at a single time but in Quantum Mechanics, we have a Qubit, in which a Qubit has a 1 or 0 at the same time and one cannot not precisely tell which one is there similar to the Heisenberg Uncertainty principle.
This is sooooo well made, one of the best ones I have ever seen. The intro clarifying the concepts is awesome, and most people don't do it. The storytelling is 10/10. The animations are a divine gift, very well done and I know it's hard, love vídeos with a lot of them. I hope you do more (no pressure).
Wow, this was great. Even though I was ready for it, the 4D visualization at the end still broke my brain. This feels like an impossible skill to master, but I'm sure it can be trained like any other. For now though, I get really strong Uncanny Valley vibes with a hint of existential dread. Keep up the good work!
Like some of the comments said, the entire length of Klein bottle has the same diameter, just like the span of the Moebius strip is. However, different parts of the Klein bottle are situated closer or further in the fourth dimension from the observer, so the part intersecting the bottle appears very narrow, but it is actually just further back in 4D. It's how when you draw a cube on a piece of paper that is facing us up front - we draw the back wall as a "smaller square" inside of the "bigger square", the front wall, and connect them with diagonal lines. It doesn't mean that the back side of the cube is much smaller, but it's further away in third dimension from the observer, and there's no way to represent it in 2D other than making it look smaller. It goes analogously to 3D/4D. That is also why the most popular depiction of a tesseract is a "smaller cube" inside of a "bigger cube". The cube isn't smaller, it's the back side of the tesseract, and we need to rotate around it along 4D to see that the smaller cube "suddently" swaps the places with the bigger cube. In fact, they don't swap places, but we simply change our point of observation from front to back.
@@_Killkor Oh yeah, I understand the principle, it's just hard to grasp, i.e. it's still not natural for me to anticipate the next frame as the object rotates. Just a skill issue on my part. Thank you for the explanation, it helps!
A Mobius loop got me into big trouble in school when I was in 7th grade. I was sitting in class one day, bored to tears so I made a small Mobius loop. The girl at the next desk asked me what it was and unfortunately, I told her it was a "Mobius strip." I had forgotten she was a roaring bitch which she quickly reminded me of when she said, "Strip? Like take my clothes off" and proceeded to make a big stink to the teacher (I said she was a roaring bitch, didn't I?). I was s ent to the office where the Assistant Principal had no idea what I was talking about ("you can't fix stoopid") when I tried to explain what it was. Fortunately, he only took it and warned me not to do it again.
10/10. Great graphics, and really clear script. This is really compelling and educational! The only thing I half-expected you to include that wasn't in it was the idea of rotating a Möbius strip to make a Klein bottle, the same way you can rotate a ring to get a torus. But it doesn't matter, that's kind of an incidental fun fact.
The moment I watched this I immediately subscribed and turned the bell on, you explained the 4th dimension topic in the best way possible. I'm sure one day you will blow on youtube, with such a high quality content it's impossible not to.
Hey Andrew, I hope you are doing fine I want to thank you for your representation. This work and narration is perfect! Inspiring and enlightening. The most unique and important part, representation of the Klein Bottle could have a stable point of view. I mean, personally I would not prefer to fly around something that I'm witnessing for the first time. I know that you added this camera movements in order to compensate the lack of depth on our 2D displays. But adding one stable witness's perspective (maybe from several points around the object) could help us a lot! Assuming you already have the 3D object modeled, I ask you to add another inspection of the scene please. Warm regards, -Cem
Thank you for giving a name (Mobius strip) for what I always use to draw as a child and seen in my mind and all the creations of sculptures I made trying to represent these things. I still have some of the drawings and partial sculptures remaining somewhere. Many decades old.
I've heard people suggest time as being the 4th dimension, and as much as I accepted that as a possibility, I never really understood how that would work. This video does a really good job of explaining that. I especially like your visual of the Klein bottle moving through 3d space
Time is a temporal dimension, which is not the same as a spatial dimension. It's not entirely inaccurate to say we live in a four dimensional reality, but it is a bit misleading; it would be more accurate to say we live in a reality with three spatial dimensions and one temporal dimension. Most of the time that people are talking about 4D anything, they're referring to four spatial dimensions. I'm only saying this because I have seen people claiming definitively that time is "the" 4th dimension, and that's simply not true. Now that I think about it, though, the reason we can only see one slice of the Klein bottle at once is because we can only perceive one point in time at a time. If we lived in a world with two temporal dimensions, it might be possible to see the entire Klein bottle at once since we could (presumably) see a 2D slice of time instead of a single point.
Mathematically, time can be represented and called a 4th dimension. But time is distinctly different than spatial dimensions. It has different physical units. We do calculate velocity as meter per second or m/s. There may be some meaning to a meter x second, but I'm not sure what that is. And in Relativity, for calculating the invariance metric, time gets the unit imaginary number tacked onto it. At some point, you realize that the reason nobody has done a really god job of explaining something is because everyone is struggling with it. That is to say that there will be bad explanations, by people who are just repeating some words they read by someone who presented a loose analogy. And if there is a good explanation, it can only be presented with mathematics because it can't be well visualized and goes far beyond our sense of intuition.
Genius explanation! Also, no matter how wonderful our innovations get, the last part kinda makes us feel so primitive ... Watching squirrel trying to comprehend the 3D shapes using lines, something we obviously understand was entertaining. Then comes us trying to comprehend what 4D could possibly be using the same concept as squirrel is kind of... mind boggling.
Man, I can see the möbius strip and time travel concept in a movie plot or trope somewhere. Incredible explanations and animation for a complex subject.
one of the best videos ive ever seen thats like this. your explanations and enthusiasm is wonderful and i loved watching all the models and animations. it makes it so much more intriguing and fun to watch :) thank you!
Jolyne's Mobius Strip counter against C-Moon was one heck of a +1000 IQ move on her behalf. She embodied her great grandfather's cleverness after all on that one scene.
The best part was when the Möbius strip said the iconic line “It’s Mobin time”. Truly indescribable in the 3rd dimension
iconic part was when Morbius stripped, the whole audience gasped and cheered for him
Wow so funny so original
truly indespcicable*
@@astrida111 glad you like it.
Knew that there was gonna be at least one of these
That grandfather paradox solution means that even if time travel is possible, you still can't change the past. Wonderful...
Or it basically proves there two sides to everything that happens
When a Person is born , he/she is not born
When a Person is dead, he/she is not dead
When a Person is eating,he/she is not eating
Basically there are two dimensions in the flow of time(could be infinite),Supposedly we may be mistaken that a time machine doesn't travel back in time, it simply help us move through dimensions , that way the guy from Dimension 1 travelled to Dimension 2 to kill his grandfather and he never gets born in Dimension 2 there thereby continuing the flow of time in Dimension 2 while Dimension 1 stays completely unaffected
Think my friend has made time machine I used it and go back in time and killed his grandfather 😂
But I travel back after killing his grandfather time machine would have disappeared now
@@gtaofficial6507 no Time machine can only help us travel through 2 opposite dimension , u just travelled to 2nd dimension where your friend never existed to kill his grandfather thereby continuing the timeline of 2nd dimension(ur friend doesn't come to exist in 2nd dimension while he does exist in 1st dimension and no time machine cannot be used to travel back in time in the same dimension , it's maybe like a bridge which helps us travel back in time in opposite(2nd dimension) dimension thereby solving the Grandfather paradox
@Shakyadeep Panda what about multiple timelines existing?
That will solve it
The graphics in this video are absolutely amazing. This is the closest I've ever come to being able to visualize the 4th dimension. Nicely done!
It's Mobin time
*Mobsolutely
It's möbin time
the last 10 seconds was a tease of the fourth dimension to my eyes
why does it make no sense
This freaked me out. 10 years ago I had no idea of this concept. 10 years ago I smoked DMT for the first time... My experience was not like the stereotypical one you read accounts of on the internet. I was simply presented with shape in a void... I described it to friends as "an impossible shape sorta like a figure 8 ,that was both consuming and expanding itself at the same time" it was what I now know to be a Klein bottle. I believe now that this vision was more profound than I originally thought.
I think psychedelics are the only reason I understand any of this
The human mind is amazing
@@xzavierreed word
Morbius really is one of the movies of all time, they even created paradoxes
Edit: Morbius is so popular it was even used by Jolyne in the hit anime Jojo’s Bizarre Adventure
lol
i legit clicked because i saw morbius on the title lmao
came to look for this comment
It's morbin' time
Great 👍
I love the way you explained this once seemingly difficult concept in a way that is easily digestible. Great video, hope to see more!
I'm glad you enjoyed it!
@@andrewscampfire What happens at 3:52 is super SUOER hard to visualize..would anyone even visualize it correctly of not shown..even Ramanujan..I doubt it..injust don't see how..when you try to picture it it looks like the strip would still be cut into two pieces..
The grandfather paradox is a hoax! Because no matter if you kill your parents in the past before being born and this is because you are already physically existing.
So basically you can kill all your parents from the past to than come back in your time still alive.
Me too I like this video
Truly a Morbius sweep 💪
Truly one of the 4d visuals of all time.
@@c_dubbzz6127 no, he's not missing the adjective, YOU're missing the joke.
Although I disagree with him, i actually quite enjoyed the graphics.
@@c_dubbzz6127 it's one of those "i think you accidentally a word" or "have a day" kind of joke, where a word is left out intentionally for comedy, in this case, he left out the word, "best" or "greatest" or something like that, to insinuate that it's mundane or even bad. Which is why i said i disagree, since the video maker clearly put a lot of love into making the video, and it shows.
@@c_dubbzz6127 Because you dont understand a joke but everyone else does then that doesnt mean that its stupid. Have a day :)
@@c_dubbzz6127Blame the movie Morbius for starting this joke
@@c_dubbzz6127 it was originally a meme started by the film morbius' less than flattering reception among fans and critics. For some godforsaken reason, it became a meme, and it is now everywhere with vaguely similar names to morbius
Man, you've explained it so well! Although I still failed to visualize the Klien Bottle in the Temporal Dimension, but man definitely a lot of valuable lessons!
It’s called the Klein bottle
Wow. A well thought out reply that explains the gaps... and it gets... deleted? This platform...
@@MadScientist267 what was that comment?
@@MadScientist267 pls upload it in some website so we can also see it
Slow down the video to 0.25 and up the quality as high as you can, worked well for me could see it then
Great video! There's just one small but cool thing I want to point out.
Let's say you lived in a 2D world, like Squirrel. You would not see 2D, shapes like in the video. Take a paper and draw some shapes on it. Then, squeeze your head into the table(or whatever) to get into their perspective. While you see across the paper, you will notice that Squirrel can only see lines. While Linus, living in a 1D world, can only see dots(or 0D if you will). Furthermore, we, living in a 3D world, can only see 2D shapes. Then our brains just puts them together to understand the 3D world. You get it. We can't see the other side of stuff, because we can't see all dimensions of our world at once.
And while we living in this universe can't see all the sides of a 3D object at once(unless it's clear of course but that was not the point), someone living in a 4D world on the other hand, could look down at our 3D universe and see everything at once. They could just sight above of what to us are closed areas(just like we could easily see the inside of a 2D box). And they could see all the sides of an object at once. While we could never look back and would have no idea if they were watching us. So think about that next time you think you have privacy!
Correct me if I'm wrong. But the fact that we don't see the fourth dimension is because we are in the fourth dimensional world not the third. I hope I didn't misunderstand you.
@@sheadick4899 No, we technically can't see 3D objects. We can only see 2D stuff from our perspective. For example when I look at a sphere, I see a sircle. But since the edges of the sircle appear darker, my brain tells me it's a sphere. Or when I look at a cube, depending on the angle, a see some rhombuses put together, and then my brain tells me it's a cube. But I can't see all the walls of the cube at once from one angle.
Imagine you draw a stickman named Bob on a paper. If you draw a line next to Bob, he could not see the other side of it. And if you draw a box, and put a potato inside it, Bob could not see the potato. But we can easily see everything, because we can see all of the lines and 2D shapes at once. Hope that was a good explanation!
This comments needs to be highlighted
@@fridamamen2081 lemme watch some Neil de Grass Tyson again. I will come back to you.
@@fridamamen2081 thank you so much I will also reread your explanation until it makes sense.
Finally, someone representing the fourth dimension that’s not just showing a sphere appear and get larger and then smaller and disappear. That last bit of showing what the edges of a Mobius strip look like going through the second dimension and then correlating that with the Kline bottle in the 3rd dimension was much more creative and did a better job of helping me try to conceive of it.
It's like trying to conceive a house made of water inside a volcano
klein
I know, right? Even more frustrating is that a hypersphere, the 4D equivalent of a sphere, looks nothing like that. So people who are trying to visualize all this stuff are not only not helped by the metaphor, it's actively harmful to the ability to understand basic shapes in the fourth dimension.
I'm a math student, I have a topology exam on Monday. This video is really fascinating, and connects to a whole bunch of things we defined and did formally in our courses. Thanks!
Glad you got something out of it!
I dont know what you do for a living but you should go into teaching, the way you explain concepts is fantastic. You have a wonderful ability to take a complex subject and break it down and simplify it. Excellent video, great work.
This is probably the best introduction of some tricky geometry concepts, and a great explanation of Möbius Strips and Klein Bottles, that I've seen on RUclips. The one critique I have is sadly about the very end: I believe you moved the camera to accompany the music, but the movement ended up getting in the way of a clear visualization. Still, great video!
Yeah...its only even slightly tolerable at x.25 speed...the heinous addition of those rapid, chaotic jump cuts completely ruins the climax of the video and any chance of it doing what it was created to do...help visualize something. Whoever had the idea to take massive creative liberties with a *scientific principle demonstration video* of all things, especially when they were tame most of the video til being turned up to 11 for the hardest one to understand and most in need of clarity...they must've been smokin that fuckin gasoline. Great video up until the end, but unfortunately does not stick the landing at all. You can even tell by the grandiose textures and lighting sequences and whatnot used in the final render that clarity of scientific principle was clearly taking backseat to "style" and the generic flashy=good youtube formula for views. A shame really.
Thissss !!!
i hope the creators read these two comments :)
I felt the same, I recommend, ruclips.net/video/N_4VaG7ZQE8/видео.html&ab_channel=%5Bmtbdesignworks%7BMiegakure%2C4DToys%7D%5D
The thing is, you would never make sense of that representation. Nobody would. That part of the video isn't an explanation. That part is art. So let it sync up with the music.
Dude. I’ve seen what feels like endless videos on Klein bottles and Möbius strips to the point where it became mundane, and I almost didn’t watch because of it. Something made me watch, and I have to say this is probably the best video on the topic by far by building up so well logically to such a mind blowing visual. Thank you for this.
My name💛
When you lift the intersecting line of the 2D Möbius Strip, it all instantly makes sense! To make the Klein Bottle not "intersect", it's needed to be put in the 4th dimension!
Dayum
Mœbius
Blessed are they which do hunger and thirst after righteousness: for they shall be filled. Matthew 5:6 💙✨
But how it would not intersect
@@jaydevsolanki1047 this is the problem it won't intersect but we can't imagine how because we can't see 4d
This might be one of the greatest videos/pieces of art I’ve ever seen.
I knew the concept before, but the way you explain it on simple examples is astounding, really good job!
Iam presently in the very basics of 4d or quantum theory..
If I have to learn from the scratch what would you suggest me to do ?
@@DashingDextr start by not asking on random comments
the teacher we neeed
@@ggsapthen by what?
This is by far the best video I've seen ❤️❤️❤️. How on earth can anyone explain 1D, 2D,3D,4D,temporal dimension, mobius strip, Klein bottle all in a 13 minute video so perfectly..! Kudos man...! Just loved it🤩
Facts 💯
Hello!
Great video, although I will say I think the final clip of the klein bottle visualization through time would have been more impactful without the camera cuts. I think part of lower dimensional beings seeing cross-sections throughout time is that they can easily compare the new part to the old part, but when the camera jumps around it makes that much harder to do.
Still excellent job! Very good explaining.
Agreed!
Aghhh my thoughts exactly... it was almost the clearest explanation but it cuts specifically when I feel like my brain is starting to grasp it. :(
I would add different angles simultaneously in a divided screen.
It helps to slow the play-back speed in settings
@@lorihime Of course it does! The government would prefer us not expand or understanding of the 4th dimension.
The only error I can see would be that the flatlander and linelander wouldn't see it the way you show. The line lander would only see a point, and the flatlander would only see a line, not the shape as a whole . The same way you cant see a full 3d object. Only a "flat" 2d representation of it constructed by our eyes. Aside from that(which was probably done for teaching sake) this video is amazing in almost every way.
This is one of the single best explainer videos I have ever seen. It is systematic, it doesn't assume prior knowledge so it's accessible to all. The visualizationz are well done. And deapite the enormity of the amount of time I think about higher dimensional spaces and time travel, I still learned a new thing (namely the Möbius strip solution to the grandfather paradox)
@DON'T ok i wont, thanks for the disclaimer
Is that really a solution or just a metaphor?
Whenever I see a Klein bottle, I think about how the "smaller" part just looks smaller because it is further away. And because the "intersecting" parts are of different apparent diameters despite actually being the same diameter they cannot be in the same place as one another. A Klein bottle is just what happens when you make a Mobius out of a cylinder instead of a strip.
Just blew me away with that thought
@@zacharyteibel8580 Glad to be able to share my attempts at trying to make the fourth dimension more visualizable.
This explanation is perfect. I legit got a little queasy trying to visualize this!
ooh. damn.
This explanation is even better than the video tbh
I loved watching Möbius. My favorite part was when he said "It's Möbing time" and he Möbiused all over those guys.
Möbius
Mobiß
@@Bossman50. møbū§
@@darealbeesechurger ∆∆Œ®81V5
@@wittymchitty þø⁷đə
The part where you explain the mobius strip was really well done. I watched the Klein bottle rendering like 30 -40 times in slow mo but still not able to visualize how it would look like 4D. Fascinating stuff
I really don't understand how this doesn't have as many views as it should have, this video is truly amazing. I still don't quite understand how to visualize the klein bottle, i've seen many representations as that one at the end but my stupid 3D brain just can't understand. (it would be nice to actually see it in 3D one frame at a time, like with a hologram because now i'm seeing it in 2D with my screen) I hope that one day we might will be able to build something in 4D to make certain gaps in space possible that in 3D would be closed off spaces. I wonder, is it hard to understand in 4D because of limits with biology or just the universe we live in or because we're used to seeing objects in 3D.
Give it time
A cool way to think about it is just imagine two rings or circular strips that trace out the Klein bottle's surface over time. They start at the same point at the same time, and leave in opposite directions, moving through space (and time) tracing the shape of the bottle. At the 'point of intersection', one of the rings simply gets there before the other, so they're not at the same place at the same time, until they meet up at again. So using 4D with time as the 4th dimension, it's possible to have a Klein bottle with no self intersections. I made a demo of this in Geogebra a while back, similar to the one above but maybe easier to understand - I just have to finish it. Check back.
@@tedsheridan8725 alright
@@marcoasturias8520 very underated reply
It got more views after Morbius and will get even more in this fall
It's nice to see more 3d-slice visualizations of the klein bottle! The first and only other one I saw do this was 4D toys.
To be clear, I think a 1D creature would more accurately see, from their perspective, a point changing its distance and same with the 2D creature which wouldn't only see a line changing its width, but for demonstration purposes I totally understand why you used a 3rd-person perspective of the geometry in the video.
Yup, exactly how we as 3D beings can only see a 2D projection of 3D objects
Shading tells a lot about the shape. It could work in 2D, sadly I don't think it would work in 1D, but 3rd person is still easier for us to visualize than trying to show unfamiliar shaded lines that would 2D being see
but in flatland (2d space) he had to move around the mobius strip at every slice in time to tell there is no intersection.
because he can only see lines and the interesting thing is behind the line.
2d guys can only see 1 dim. and only the use of x and y give them a clue of 2d.
Actually to see distance [change] would not the 1D creature need stereoscopic view ie. need a second dimension ;)
Perhaps you could use colors to visualize extra dimensions? E.g. the parts of the Klein bottle that seem to intersect would actually have different colors, i.e. 4th-dimension coordinates
3:40 This explanation doesn't really explain the phenomenon. You can similarly cut a cylinder in half through the center without ever reaching its boundary, and it will nevertheless result in 2 separate pieces. I believe it's more readily seen using identification diagrams.
Also, that solution to the grandfather paradox was really neat. I'd never seen it solved that way.
You're right! I can't believe I overlooked that cylinder counterexample, so thank you!
@@andrewscampfire great video, but yeah I didn’t think about that
You could flatten a cylinder ( 2D-ish ) and cut it in halve, and then restore it to 3D. You will have two cylinders.
You cant flatten the Mobius strip to 2D, it wil tear. You can't squish the turn of the mobius strip into 2D. It needs the third dimension to exist. So the cut will never reach the boundary as it would with a flattened cylinder, where the boundary would be the end of the cylinder, right before it turns into two pieces. The cut, just like the ant, will follow the mobius strip because It cant be flattened. The boundary of the mobius strip, right before it would turn into two pieces is, just like the ant, "infinite" and wont be reached.
i didn't see any solution to the paradox, just a neat visualization. any paradox could be pictured as a loop.
Its not an oversight. The point is that the möbius strip only has one side while a cylinder has 2. If the möbius strip was to be cut into 2 without cutting the boundary, then that wouldnt happen
I have to say that this is easily one of the most understandable ways I have watched to try to understand something that I am not meant to understand. With what my brain already struggles to comprehend you have (in this video) managed to get me closer to understanding. You have a new subscriber in me.
It makes me wonder even more what human beings do not see around us due to our limitations?
Now I'm going to watch it again and sit in awe at how little I actually know. Your explanation of the grandfather paradox was so easy to understand when explained against the mobius strip.
I'm soo glad you touched upon the grandfather paradox!
It never made any sense to me how people would call it a "paradox"... in my mind this was automatically a loop in which all possible states and simultaneously exist!
And now I have a proper mathematical explanation as to how that is possible!
Thank you very very much! Also, this was a really great video! Keep it up!
Wow, you are very smart!
@@liviemillie6455 Ok... I'm not going to lie... I really like being called smart!
Thank you!
There is also another solution to the grandfather paradox where there must be something that always stops you from going to kill your grandfather when you go back in time, since you clearly are alive and your grandfather didn't die. Kind of like a Wile E. Coyote and Road Runner situation lol
@@cl4655 Holy! Wow that is an interesting way to think about it!
Since something is a fact then you cannot change it by going back in time... but going back in time could be a way to go inside and watch what happens exactly in those times... but nothing would change because that was supposed to happen...
It is like a hyper determined "fractal" of time traveling... I don't know why that word was stuck in my mind while I was looking at your reply... "Fractal"...
But I guess the simplest answer to such a hyper determined universe would be just that time travel is impossible... so you can never kill your grandpa before you were conceived... but it's certainly not the only answer
I would really like to expand on this idea! this was such a cool thing to think about! Thank you!
In my opinion, the mobius strip comparison doesn't work in this specific situation as an explanation for the grandfather paradox, as the mobius strip is complete, but the time period from 1940 to 2000 is only 60 years, and time did not start in 1940, meaning to represent year 1939 and before you need to connect a straight line to the mobius strip, which itself breaks mobius strip, turning it into a different shape
The only way the mobius strip analogy could work is if the mobius strip encompasses all time, making the starting point the beiggining of the universe and the finish point the end of the universe
At 12:30 I thought I was ready for the experience. At 13:00 I realized I wasn’t 😅 I wish there where more angles and/or a longer animation to view this Klein bottle passing through our 3D space. Nice video!
ikr
We as humans don't jump cut to different places in space, wish we could see more like the squirrel character. First time experiencing 4D and we have to parse where we are looking from as well, is hard >_
@@ren_ergy we see in 2D and understand 3D, a 4D being can see in 3D because they can be in 2 or more places at the same time I'm guessing, hence 1 mind seeing 4 or more sides of a cube at the same time. just as we see more than 1, 2d face of a 3D object at once.
longer animation? lol play with the time ... or just slow down the video speed ;-)
some chanel already show it
This is 🤯🤯🤯🤯 absolutely amazing animations!!! This animator deserves huge applaud...
12:38 this is the animation where I truly could visualise what a Klein bottle is!!!!
Completely agree. The animations are amazing.
I want that in a loop!
the angle should have stayed the same, i couldn't understand anything since everything was moving so fast
You can also just look one up lol the exits. Ppl have made them out of glass
Best video out there that brilliantly illustrates dimensions and our perception of it and what time has to do with all of it!! Just great! Thanks for the effort
This is probably the most beautifully animated topology video I have ever seen! Great job!
I do really love the explanation! I can understand all of them.
But, the 4D projection of klein bottle into 3D at the end kinda makes me nauseous because the camera seems to jump and rotate randomly.
Does anyone have the animation of that with a camera that doesn't move?
The movement made it dificult for me too…
Try at 0,25 speed, it helped for me. You can it that is kinda like a cilinder entering itself to make a smaller cilinder that conects to its tail on the 4th dimension
exactly
same here, i found this which goes back and forth with it a lot
ruclips.net/video/N_4VaG7ZQE8/видео.html
if you don't mve it can't work ?
@@nikzebnikzeb1389 the bottle needs to move in the 4th dimension to show the effect, true, but the camera should've stayed in a fixed position for clarity.
This is truly one of the videos of RUclips, showing one of the strips of all time.
Incredible video and great explanation!
I actually got my wedding ring made in a mobius strip shape (not cheap). When I first realized it only has one side I just ran my finger along it and arrived at that conclusion. How it's related to time, outside of an inverted mobius strip in Avengers Endgame being mentioned, I had no idea about that. So cool!
I knew about mobius strip and klien bottle for a long time but I was never able to grasp on how I can imagine it. This has given me a true perspective. Thanks for this. Brilliant work
This is the best visualization of the Möbius strip I've ever seen.
4:06 Noting the boundaries (edges) of the loop is key. You could also show what happens when you cut the strip into a 2n (even) and 2n+1 (odd) number of parts. All odd cuts will end up with a separate (but entwined) ring. It's not clear, though, if all even cuts will end up with a single loop or multiple separate intertwined loops.
Oh cram it up your ass buddy!!!!
I would love to see a part 2 of this that goes into more detail and shows more time assisted visualizations of the Klein bottle! (Also the fact that a Klein bottle is made from multiple mobius strips which is was shocked to not see mentioned considering the emphasis on them!)
Yes. A Klein bottle is topologically constructed from two Möbius strips joined along their edges.
@@Brawler_1337 along their edges in the 4th dimension?
@@cooly1234 only part of it needs to be in the fourth dimension, and that’s only where the bottle self-intersects.
Here’s another video on it: ruclips.net/video/N_4VaG7ZQE8/видео.html
Ohhh that klein bottle timelapse at the end has given me a better understanding of 4d shapes than any other demonstration ive seen, thank you for sharing this
This was an incredible video. The time and effort taken to make this must have been immense. Thank you
This video is so well made! The camera angles on the representation of the Klein bottle made it difficult for me to process what I was seeing, but everything else was perfect
Ok normally i don't write many comments but i have to say it.
This video is so incredibly well done! Haven't listened so carefully to a video in a long time and wasn't even in the comments. just fantastic! Thank you very much!
guys stop liking
the likes have reached the holy number
the last representation of the klein bottle via time,it just moved me. It's absolutely amazing and touched my soul. Thank you for the video
Mannnn, you've done an amazing job on this! This is high quality stuff! Why is your channel not having a lot more subscribers and this video is not having many views.
I'd say keep putting out great stuff, it'll pay off overtime.
Thanks! Currently making another :)
@@andrewscampfire @Jacky Luckewarm is spittin faxx
Loved this video and I'm gonna be around until this channel is dead
@@andrewscampfire Thanks for creating the best movie ever! Möbius
@@andrewscampfire It's morbin' time
Wow your interpretation of topology, manifolds, boundaries, and dimensions is so so so simple. I never understood these. And the example about 1D and 2D "organisms" are so interesting and easy to understand. I remember there's an animal with 2D vision, and I've always wondered how it sees the world. Now I kinda know!!! Thanks a lot!!!!
What animal sees in 2d?
@@shrinebow. And the OP fails to provide an explanation. Nice.
I agree but in the video you might notice that a 1D life being should be able to see a point to appear and disappear rather than a line. Instead a 2D life being should be able to see a line rather than circles and squares. Indeed a 3D life being in our universe can see 2D shapes to appear and disappear
I would love to see you try to discuss the Moebius strip version of the Grandfather Paradox as it would appear to everyone who is not traveling back in time. How does the duality of the timeline look to those who aren't part of the closed time loop, and do they perceive you as being alive or dead?
Great question!
I think it depends on the loop. Like if ypu exist they know you now, next time you won’t be born so they wouldn’t know you. I think it will help to think about it as diffrent version of your self and the world that changes every time like an oscillating movement. I am not sure tho it’s how I think about it.
@@ahlamamr4659 The whole point, though, is that if you're outside the loop, past the point of the loop-back, what do you remember? Allegedly, there's only one timeline at that point, after all.
I believe the answer is that there 2 different time lines actually, one where you existed but no longer exist, and one that you have never existed. I believe this explains the multitude of universes, since for every decision made there is the other one being made as well in a parallel, similar but not quite the same universe, multiplying actually the strings of possibilities to infinity.
@@vas7ilissi8 Right, that's multiverse theory. My understanding - though @Andrew's Campfire is welcome to correct me if I'm wrong here - was that the video was positing that the Mobius Strip explanation reconciled the grandfather paradox to not require two timelines.
I have seen many videos explaining this concept but this is by far the greatest explanation I have seen.
I watched the video, became amazed by the high quality of ideas, explanations and animations presented in it, and then discovered that you have only 873 subscribers????? You obviously fit in the millions of subscribers league, I'm serious. Please keep it like that, you'll blow up in seconds! Can't wait for the next one.
Crash bandicoot profile picture is funny
This is more than amazing..
I have seen too many videos that try to explain the 4D shapes and how we can be able to visualize or see them....
But my friend your vid is one of a kind.... It's simiply spectacular...
Wow thanks!
HOLY SHIT THAT WAS BEAUTIFUL.
The animations are unparalleled! I've never seen such good animation in any educational video. Plus the amazing lighting, music and transitions, the whole flair for the dramatic really pleases the cinephile in me. Keep up the great work, man! This is brilliant.
I knew all of this but never seen the grandfather paradox applied to a mobious strip. That was enlightening
This video is great, i love the thing about the mobius strip explaining a “paradoxical” time loop and all of it, it’s great
morbius*
I loved the part when he said "Its Morbin Time" in 4D. It blew my mind
Pooor brains believing things that not exist xD
"It's Möbing time"*
Where? I didn´t get it
@@susannadanner906 The title says mobius which looks like the movie title: Morbius. It was pretty so-so and people say "It's Morbin Time" as meme
@@hyo-arashi-dubz mathematics would be a hell of a nightmare for your lil peanut top
Absolutely mind-boggling video! The material, the editing, the sequence, the ideas, every single letter in the script has been meticulously worked on. And the rendition of the temporal dimension is something that I have not seen any other RUclipsr do. Even George Gamow in 'One, Two, Three, Infinity' hasn't given as good an idea of time as you here.
Found this video out of nowhere recommended in my youtube recommendations. Your animations and explanations are so clear and perfect. Sad to see you stopped making new content at least a year ago. Hope it's all going well with you.
0:20 I literally thought that it was a cube from the beginning
I am truly amazed.
Man you yourself deserve an award for explaining this so easily!
This video is incredibly good and professional. If you continue like this, youll reach much more attention very soon! Well done
It is the best and most reasonable explanation of the 4th dimension, I‘ve seen till now.
Thanks Jolyne, very cool
I appreciate the way you've described things and the visuals you've used. I am a visual learner and have never taken physics so this is really stimulating and helpful. (learning just for fun and you put the fun in it.) Thank you!
Oh wow the representation is so beautiful i cant believe it is even possible to create this animation. It still feels illegal to see the passage of time of the klein bottle
The last clip gave me goosebumps and honestly it is the closest representation of 4D object that I have ever seen.
yoooo dude same, I don't think I've seen a cooler shape
imma hope and pray we get hot Klein bottle edits on Tiktok someday🤞
why does everything give people goosebumps now a days
@DON'T CLICK THIS VIDEO bot
@@bigfinger799 you shouldn't care about that coz different things make different people excited.
@@parikshitkulkarni3551 fair enough
This is crazy and soo dann good explained! Big thanks!
Excellent; especially the "grandfather" paradox. That a Möbius strip is created by a single 'belt' twisted then connected reminds me of the quantum spin issue for electrons. That is, such spins require a double twist to return to their original configuration.
This was excellent. Well-done. Extremely good graphics. Also, very well explained!
wow! first of all this video has to be the best explanation for 4D. For the Grandfather Paradox, I was able to relate this to the basics of Quantum Mechanics, in which just like we have a BIT consisting of either 1 or 0 at a single time but in Quantum Mechanics, we have a Qubit, in which a Qubit has a 1 or 0 at the same time and one cannot not precisely tell which one is there similar to the Heisenberg Uncertainty principle.
That's perfect explanation I ever seen my entire life
This is sooooo well made, one of the best ones I have ever seen. The intro clarifying the concepts is awesome, and most people don't do it. The storytelling is 10/10. The animations are a divine gift, very well done and I know it's hard, love vídeos with a lot of them. I hope you do more (no pressure).
That last showcase of Klein's Bottle is absolutely ingenious.
Wow, this was great. Even though I was ready for it, the 4D visualization at the end still broke my brain. This feels like an impossible skill to master, but I'm sure it can be trained like any other. For now though, I get really strong Uncanny Valley vibes with a hint of existential dread. Keep up the good work!
Like some of the comments said, the entire length of Klein bottle has the same diameter, just like the span of the Moebius strip is. However, different parts of the Klein bottle are situated closer or further in the fourth dimension from the observer, so the part intersecting the bottle appears very narrow, but it is actually just further back in 4D. It's how when you draw a cube on a piece of paper that is facing us up front - we draw the back wall as a "smaller square" inside of the "bigger square", the front wall, and connect them with diagonal lines. It doesn't mean that the back side of the cube is much smaller, but it's further away in third dimension from the observer, and there's no way to represent it in 2D other than making it look smaller. It goes analogously to 3D/4D. That is also why the most popular depiction of a tesseract is a "smaller cube" inside of a "bigger cube". The cube isn't smaller, it's the back side of the tesseract, and we need to rotate around it along 4D to see that the smaller cube "suddently" swaps the places with the bigger cube. In fact, they don't swap places, but we simply change our point of observation from front to back.
@@_Killkor Oh yeah, I understand the principle, it's just hard to grasp, i.e. it's still not natural for me to anticipate the next frame as the object rotates. Just a skill issue on my part. Thank you for the explanation, it helps!
A Mobius loop got me into big trouble in school when I was in 7th grade. I was sitting in class one day, bored to tears so I made a small Mobius loop. The girl at the next desk asked me what it was and unfortunately, I told her it was a "Mobius strip." I had forgotten she was a roaring bitch which she quickly reminded me of when she said, "Strip? Like take my clothes off" and proceeded to make a big stink to the teacher (I said she was a roaring bitch, didn't I?). I was s ent to the office where the Assistant Principal had no idea what I was talking about ("you can't fix stoopid") when I tried to explain what it was. Fortunately, he only took it and warned me not to do it again.
Morbius Strip
10/10. Great graphics, and really clear script. This is really compelling and educational! The only thing I half-expected you to include that wasn't in it was the idea of rotating a Möbius strip to make a Klein bottle, the same way you can rotate a ring to get a torus. But it doesn't matter, that's kind of an incidental fun fact.
He fAILED us
Basically its the circle from 90's and ted ed flat land combined video. 🧐
The moment I watched this I immediately subscribed and turned the bell on, you explained the 4th dimension topic in the best way possible. I'm sure one day you will blow on youtube, with such a high quality content it's impossible not to.
For the first time, I fully understand 4D. Thank you!
0:01
i immediately thought cube
Me too
same
Same
Hey Andrew, I hope you are doing fine
I want to thank you for your representation. This work and narration is perfect! Inspiring and enlightening.
The most unique and important part, representation of the Klein Bottle could have a stable point of view. I mean, personally I would not prefer to fly around something that I'm witnessing for the first time. I know that you added this camera movements in order to compensate the lack of depth on our 2D displays. But adding one stable witness's perspective (maybe from several points around the object) could help us a lot! Assuming you already have the 3D object modeled, I ask you to add another inspection of the scene please.
Warm regards,
-Cem
Amazing and simple visualization of quite a complex concept, really cleared up a lot of things, thanks for the video
Thank you for giving a name (Mobius strip) for what I always use to draw as a child and seen in my mind and all the creations of sculptures I made trying to represent these things.
I still have some of the drawings and partial sculptures remaining somewhere. Many decades old.
This video would be a lot better if it was called the Morbius strip (10/10 best movie)
I've heard people suggest time as being the 4th dimension, and as much as I accepted that as a possibility, I never really understood how that would work. This video does a really good job of explaining that.
I especially like your visual of the Klein bottle moving through 3d space
Time is a temporal dimension, which is not the same as a spatial dimension. It's not entirely inaccurate to say we live in a four dimensional reality, but it is a bit misleading; it would be more accurate to say we live in a reality with three spatial dimensions and one temporal dimension. Most of the time that people are talking about 4D anything, they're referring to four spatial dimensions. I'm only saying this because I have seen people claiming definitively that time is "the" 4th dimension, and that's simply not true.
Now that I think about it, though, the reason we can only see one slice of the Klein bottle at once is because we can only perceive one point in time at a time. If we lived in a world with two temporal dimensions, it might be possible to see the entire Klein bottle at once since we could (presumably) see a 2D slice of time instead of a single point.
Mathematically, time can be represented and called a 4th dimension. But time is distinctly different than spatial dimensions. It has different physical units. We do calculate velocity as meter per second or m/s. There may be some meaning to a meter x second, but I'm not sure what that is. And in Relativity, for calculating the invariance metric, time gets the unit imaginary number tacked onto it. At some point, you realize that the reason nobody has done a really god job of explaining something is because everyone is struggling with it. That is to say that there will be bad explanations, by people who are just repeating some words they read by someone who presented a loose analogy. And if there is a good explanation, it can only be presented with mathematics because it can't be well visualized and goes far beyond our sense of intuition.
Now it's morbin time
Morbius: into the Morbius Strip will be epic
Genius explanation!
Also, no matter how wonderful our innovations get, the last part kinda makes us feel so primitive ...
Watching squirrel trying to comprehend the 3D shapes using lines, something we obviously understand was entertaining. Then comes us trying to comprehend what 4D could possibly be using the same concept as squirrel is kind of... mind boggling.
My favourite bit what the part where he said “It’s möbing time”; truly a work of art.
Man, I can see the möbius strip and time travel concept in a movie plot or trope somewhere. Incredible explanations and animation for a complex subject.
It was shown in Avengers Endgame when Tony creates a simulation to design a time travel mechanism.
Wow, excellent work! Thank you for pushing the boundaries 🙏
I can't stop watching.
one of the Best educational video ever seen.
2:49 it's möbin' time
Absolutely incredible work, thank you for making this.
one of the best videos ive ever seen thats like this. your explanations and enthusiasm is wonderful and i loved watching all the models and animations. it makes it so much more intriguing and fun to watch :) thank you!
This video made me finally be able to conceptualize what a fourth dimension means. Amazing!
This is one of the best videos I’ve ever seen, great job man, visuals and explanation were flawless 🙌🏻🙌🏻🙌🏻
This is one of the strips of all time
Just watched the video fully and man, that build up to the klein bottle was one of the best things ive seen in youtube in good while.
0:08 well jokes on you i thought it was a cube all along
Same
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I GOT FUXKING GOOSEBUMPS WATCHING THIS OMG
He explained this so welll
Amazing video!
I loved the part where you combined mobius strip and time travel.
Jojo fans getting recommended this after part 6 finale
Thank god, I thought I was the only one
Jolyne's Mobius Strip counter against C-Moon was one heck of a +1000 IQ move on her behalf. She embodied her great grandfather's cleverness after all on that one scene.
6:27 Schrödinger's strip
Amazing. Fantastic. Mind blowing. Yet simple. Ridiculously easy. Extraordinarily explained. Thank you.