Paradox of the Möbius Strip and Klein Bottle - A 4D Visualization
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- Опубликовано: 15 май 2024
- Embark on a mind-bending journey into the 4th dimension as we explore the fascinating geometry of the Möbius Strip and Klein Bottle. This video will take you on a whirlwind tour of time travel, geometric paradoxes, 4D visualization, and sentient primitive shapes.
CHAPTERS:
00:00 - A Hexagon Illusion
00:50 - Defining Topology, Manifold, and Boundary
02:11 - An Open 2D Manifold
02:25 - Riddle #1
02:39 - Cutting the Möbius Strip in half
04:05 - Cutting the Möbius Strip in thirds
04:34 - The Grandfather Paradox
05:13 - Grandfather Paradox Solution Using a Möbius Strip
07:11 - A Closed 2D Manifold
07:46 - Riddle #2
08:03 - Visualizing the Klein Bottle with an Ant
09:12 - Spatial and Temporal Dimensions
09:24 - Linus - Two Dimensions for a 1D Creature
10:26 - Squirrel - Three Dimensions for a 2D Creature
11:19 - Time Evolution of a Flattened Möbius Strip's Boundary
12:07 - Klein Bottle
12:36 - Visualizing the Klein Bottle in 4 Dimensions
Patreon: / andrewscampfire 
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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
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
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
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
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 👍
This might be one of the greatest videos/pieces of art I’ve ever seen.
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.
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
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!
@@drewscampfire 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 💪
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
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!
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 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
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
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!
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.
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
The last 15 seconds are pretty much the best thing i have seen. Awesome work.
You have an amazing talent for explaining wildly complex phenomena in a way everyone can understand! Thank you so much🙏🏼🙏🏼
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.
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!
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
Brilliant visualisation of the Klein bottle, makes so much more sense and less mind bending to try imagine how it doesn’t intersect its own surface. Thanks and keep up the good work.
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💛
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?
The best video I have watched about Möbius Strip and Klein Bottle. Great work!
Damn, this was really the only video I’ve seen on the fourth dimension that I actually walked away with a simple understanding of a Klein bottle and the fourth dimension. You’ve earned a like and a sub
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 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
this is cool i love seeing things like this it reminds us that there is more out there my favourite are the multiverse theories, pocket universes, things like that. i hope you start making videos again one day, i haven't seen this explained this well until now!!
This is one of the best explanation I have ever heard.
Kudos to you for the visuals and the script all of it came together so well.
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.
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 💯
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!
epic video! love the ending visualization in 4D visible to us in 3D (watched the end several times)
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
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
Best explanation ive come across yet. And i am soooo stoooopid with this stuff. Tyvm!!!
It is the best and most reasonable explanation of the 4th dimension, I‘ve seen till now.
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?
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
wow I have to say this actually, this video gave me the best presentation of 4th dimesion and it kept me excited during every minute. Amazing job !!!
nice!! I love when videos really can help me VISUALIZE things, thank you so much
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
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!
@@drewscampfire 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
This video made me finally be able to conceptualize what a fourth dimension means. Amazing!
Thank you for your time, effort and.... graphics.
This is truly one of the videos of RUclips, showing one of the strips of all time.
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
I GOT FUXKING GOOSEBUMPS WATCHING THIS OMG
He explained this so welll
What an amazing video. Absolute goosebumps watching that. Thank you
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
Now it's morbin time
Morbius: into the Morbius Strip will be epic
Hey this was an amazing video. Way higher quality than one would expect for an up-and-comer with a respectable 30k subs.
The info, pacing, bgm, everything was top notch. Except one thing. That visualization at the end bro, you needed to play that on repeat about 57 times. All different angles, speeds, colours contrasts shadows. Bro. BRO. I WANNA SEE IT BRO. I WANNA SEE IT OVER AND OVER WITHOUT CLICKING STUFF.
Having said all that I smashed that like and sub and I'll be keen to watch your channel grow fast.
Cheers from Canada
i love your explenation of how to interpret the 4th dimensions with 1d and 2d. you earned my subscription
It's Möbin time.
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.
@@vicky-vas7liss8 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 knew all of this but never seen the grandfather paradox applied to a mobious strip. That was enlightening
Amazing. Fantastic. Mind blowing. Yet simple. Ridiculously easy. Extraordinarily explained. Thank you.
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!!!!
0:20 I literally thought that it was a cube from the beginning
For the grandfather's paradox,
I have 2 solution theories i thought of myself (whether or not I'm the first to think of them, i do not know.)
1. Time no matter what will always correct itself one way or another, if as an example you move a specific rock at the grand canyon in the past, and that said rock was supposed to do something important in the future, another rock would take it place to do said "something".
1.2 A small idea of that theory is that instead of something being replaced, the change in the past will just completely be cancelled, as an example if you tried to kill your grandfather, no matter what you used or tried to do to kill your grandfather he will always live so you can be born.
2. Timelines in a Timeline.
If you do happen to find a way to travel in time, you wouldn't be able to go back in the past in your own timeline because it already happened and can not be changed but you instead go into a different timeline where your grandfather is being born and everything after that DID NOT happen yet (like a different universe that is set (using the video) in the 1940's, while your universe is set in 2021) so if you kill your grandfather in that timeline where it's the 1940's and everything after the 1940's didn't happen yet, you would change the future but only for that timeline, your own timeline would stay the same.
I know these objects, but what really shocked me, was that part with Möbius strip used in grandfather paradox! I think its quite genial!
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.
Morbius Strip
I was watching a bunch of videos about the 4th dimension and hypercube and came across this. I actually instantly saw the first image as a cube. Wasn't until you pointed out that it could have been a hexagon that I realized I was seeing it that way. Almost certainly because I had just been watching those videos about the hypercube
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.
This is probably the most beautifully animated topology video I have ever seen! Great job!
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 :)
@@drewscampfire @Jacky Luckewarm is spittin faxx
Loved this video and I'm gonna be around until this channel is dead
@@drewscampfire Thanks for creating the best movie ever! Möbius
@@drewscampfire It's morbin' time
this is amazing - so well done. so many other videos on dimensions add a lot of extra "fluff" which just unnecessarily complicates the video, but makes the speaker sound smart. This video, with the basic details and the stunning visuals, do a perfect job of explaining the dimensions. but now it makes everyone included, the viewers and the speaker, smart instead. :)
i really love this!!
kudos to you sir.
Thank you so much... im reading a book on the 4th dimension and i was struggling to understand fully what the words in the book was attempting to illustrate but i just couldnt grasp it until i watched your vids ❤🎉
This video would be a lot better if it was called the Morbius strip (10/10 best movie)
0:01
i immediately thought cube
Me too
same
Same
same lol, I thought he was going to say "or you could see it as a cube" and then say the impressive secret about this image, but the "impressive secret" was just that it really was a cube lol
I didn't feel represented 😢
After watching RUclips on end and feeling bored at the same time, there may come a time when you suddenly get excited to see something...…This is that video
Wow that woke me up this morning! Awesome video! 💯
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 was an incredible video. The time and effort taken to make this must have been immense. Thank you
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.
Thanks so much, really brilliant illustration of concepts that are wonderfully provocative
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 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
Well, that was waaay the best explanation to understand topography in 4 dimensions. Thanks!
This video was amazing. Very well explained!
That last showcase of Klein's Bottle is absolutely ingenious.
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.
Sminem narration is priceless. Thank you.
This is one of the best videos I have ever watched. Period.
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!
I genuinely read the title as "Morbius Strip" and I am not ashamed of myself.
This was an amazing video to explain the mobius strip.
Perfect illustration to get an introduction to Multiple dimensions
2:49 it's möbin' time
morbious changed my life. it can even solve paradox. i killed my grandfather but when im about to disintegrate i go to cinema and watch morbius. My body back to normal again and the paradox are solved. Thank you morbius #MorbiusSweep
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
What an awesome video!!! It is definitely the best explanation I’ve ever seen.
Morbius strip got me like: _💀_
I love the morbius strip
Ver esse vídeo e conseguir relacionar tudo o que tu disse com magia, relacionamentos, metafísica, tudo com animação e 3D. Astonishing job done here fellas!!!!!!! Greetings from Brazil!
This was such a good quality video. You're really talented!