Paradox of the Möbius Strip and Klein Bottle - A 4D Visualization

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Fireside

Fireside

Күн бұрын

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

Пікірлер: 4 700
@storm8498
@storm8498 Жыл бұрын
The best part was when the Möbius strip said the iconic line “It’s Mobin time”. Truly indescribable in the 3rd dimension
@jamostudios7596
@jamostudios7596 Жыл бұрын
iconic part was when Morbius stripped, the whole audience gasped and cheered for him
@astrida111
@astrida111 Жыл бұрын
Wow so funny so original
@Lifeislikemypfp
@Lifeislikemypfp Жыл бұрын
truly indespcicable*
@Anonymous2627
@Anonymous2627 Жыл бұрын
@@astrida111 glad you like it.
@Black-ut8ld
@Black-ut8ld Жыл бұрын
Knew that there was gonna be at least one of these
@MonoTony00
@MonoTony00 Жыл бұрын
That grandfather paradox solution means that even if time travel is possible, you still can't change the past. Wonderful...
@shakyadeeppanda1737
@shakyadeeppanda1737 Жыл бұрын
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
@gtaofficial6507 Жыл бұрын
Think my friend has made time machine I used it and go back in time and killed his grandfather 😂
@gtaofficial6507
@gtaofficial6507 Жыл бұрын
But I travel back after killing his grandfather time machine would have disappeared now
@shakyadeeppanda1737
@shakyadeeppanda1737 Жыл бұрын
@@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
@sonicthehedgehog1606
@sonicthehedgehog1606 Жыл бұрын
​@Shakyadeep Panda what about multiple timelines existing? That will solve it
@AnweshAdhikari
@AnweshAdhikari 7 ай бұрын
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!
@tanjaklein777
@tanjaklein777 28 күн бұрын
It’s called the Klein bottle
@PBlague
@PBlague 10 ай бұрын
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!
@liviemillie6455
@liviemillie6455 9 ай бұрын
Wow, you are very smart!
@PBlague
@PBlague 9 ай бұрын
@@liviemillie6455 Ok... I'm not going to lie... I really like being called smart! Thank you!
@cl4655
@cl4655 9 ай бұрын
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
@PBlague
@PBlague 9 ай бұрын
@@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!
@vovabars1234
@vovabars1234 8 ай бұрын
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
@mortanicus5871
@mortanicus5871 Жыл бұрын
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!
@boejudden9011
@boejudden9011 Жыл бұрын
It's Mobin time
@m_r-ock6508
@m_r-ock6508 Жыл бұрын
*Mobsolutely
@EpitomeOfLigma
@EpitomeOfLigma Жыл бұрын
It's möbin time
@ZoraPMC
@ZoraPMC Жыл бұрын
the last 10 seconds was a tease of the fourth dimension to my eyes
@Owellivan
@Owellivan Жыл бұрын
why does it make no sense
@dees649
@dees649 Жыл бұрын
I love the way you explained this once seemingly difficult concept in a way that is easily digestible. Great video, hope to see more!
@drewsfireside
@drewsfireside Жыл бұрын
I'm glad you enjoyed it!
@leif1075
@leif1075 Жыл бұрын
@@drewsfireside 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..
@gregandark8571
@gregandark8571 Жыл бұрын
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.
@ff-zt1gs
@ff-zt1gs Жыл бұрын
Me too I like this video
@joehair3446
@joehair3446 Жыл бұрын
Truly a Morbius sweep 💪
@benjoshua3049
@benjoshua3049 5 ай бұрын
This might be one of the greatest videos/pieces of art I’ve ever seen.
@enigmaz9
@enigmaz9 8 ай бұрын
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.
@spoompls42069
@spoompls42069 Жыл бұрын
Truly one of the 4d visuals of all time.
@moncef0147
@moncef0147 Жыл бұрын
@@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.
@moncef0147
@moncef0147 Жыл бұрын
@@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.
@artik_2763
@artik_2763 Жыл бұрын
@@c_dubbzz6127 Because you dont understand a joke but everyone else does then that doesnt mean that its stupid. Have a day :)
@feathermanr7577
@feathermanr7577 Жыл бұрын
@@c_dubbzz6127Blame the movie Morbius for starting this joke
@johnroach9026
@johnroach9026 Жыл бұрын
@@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
@glyphix42
@glyphix42 Жыл бұрын
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.
@like-icecream
@like-icecream Жыл бұрын
It's like trying to conceive a house made of water inside a volcano
@American_PhilippineA
@American_PhilippineA Жыл бұрын
klein
@ThePCguy17
@ThePCguy17 Жыл бұрын
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.
@alliecharacky6388
@alliecharacky6388 11 ай бұрын
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!
@balpreetsingh6765
@balpreetsingh6765 10 ай бұрын
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
@philcoast1031
@philcoast1031 Жыл бұрын
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 KZbin. 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!
@DrkStrSkt
@DrkStrSkt Жыл бұрын
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.
@deathtobtc8419
@deathtobtc8419 Жыл бұрын
Thissss !!!
@spiritseas
@spiritseas Жыл бұрын
i hope the creators read these two comments :)
@B.U.T.F.I
@B.U.T.F.I Жыл бұрын
I felt the same, I recommend, kzbin.info/www/bejne/hJCXh5R9bL-Ee5o&ab_channel=%5Bmtbdesignworks%7BMiegakure%2C4DToys%7D%5D
@tripasect1271
@tripasect1271 Жыл бұрын
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.
@andreaiacco18
@andreaiacco18 Жыл бұрын
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!
@drewsfireside
@drewsfireside Жыл бұрын
Glad you got something out of it!
@celestinjohannesbuche523
@celestinjohannesbuche523 Жыл бұрын
The quality of this video is incredible! Best 4D presentation I have come across.
@drgothmania
@drgothmania 10 ай бұрын
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!!!!
@shrinebow.
@shrinebow. 9 ай бұрын
What animal sees in 2d?
@DanteComerComer
@DanteComerComer 8 ай бұрын
@@shrinebow. And the OP fails to provide an explanation. Nice.
@savitar6231
@savitar6231 3 ай бұрын
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
@fridamamen2081
@fridamamen2081 Жыл бұрын
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!
@sheadick4899
@sheadick4899 Жыл бұрын
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.
@fridamamen2081
@fridamamen2081 Жыл бұрын
@@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!
@Merrsharr
@Merrsharr Жыл бұрын
This comments needs to be highlighted
@sheadick4899
@sheadick4899 Жыл бұрын
@@fridamamen2081 lemme watch some Neil de Grass Tyson again. I will come back to you.
@sheadick4899
@sheadick4899 Жыл бұрын
@@fridamamen2081 thank you so much I will also reread your explanation until it makes sense.
@WeyounSix
@WeyounSix Жыл бұрын
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.
@earnmoneyonline2756
@earnmoneyonline2756 Жыл бұрын
My name💛
@RamanSingh-zo5hf
@RamanSingh-zo5hf 17 күн бұрын
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
@dogma8538
@dogma8538 11 ай бұрын
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!
@UncleRJ
@UncleRJ Жыл бұрын
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!
@Titch.
@Titch. Жыл бұрын
Dayum
@vishwarao6064
@vishwarao6064 Жыл бұрын
Mœbius
@Andrew-Johnson
@Andrew-Johnson Жыл бұрын
Blessed are they which do hunger and thirst after righteousness: for they shall be filled. Matthew 5:6 💙✨
@jaydevsolanki1047
@jaydevsolanki1047 Жыл бұрын
But how it would not intersect
@basil9519
@basil9519 Жыл бұрын
​@@jaydevsolanki1047 this is the problem it won't intersect but we can't imagine how because we can't see 4d
@lechtaczka1272
@lechtaczka1272 Жыл бұрын
I knew the concept before, but the way you explain it on simple examples is astounding, really good job!
@DashingDextr
@DashingDextr 10 ай бұрын
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 ?
@ggsap
@ggsap 9 ай бұрын
@@DashingDextr start by not asking on random comments
@siddharthchaturvedi8195
@siddharthchaturvedi8195 7 ай бұрын
the teacher we neeed
@ayuballena8217
@ayuballena8217 3 ай бұрын
@@ggsapthen by what?
@uriahgiroux9694
@uriahgiroux9694 8 ай бұрын
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!
@cris77781
@cris77781 Жыл бұрын
One of the best videos i've ever seen on youtube. Very interesting, the subject isn't easy to comprehend but the explanation is understandable and smooth. Good job
@ultimatelifeformkars8388
@ultimatelifeformkars8388 Жыл бұрын
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
@filipsperl
@filipsperl Жыл бұрын
lol
@exDOGE
@exDOGE Жыл бұрын
i legit clicked because i saw morbius on the title lmao
@atrocium
@atrocium Жыл бұрын
came to look for this comment
@Driga_
@Driga_ Жыл бұрын
It's morbin' time
@markus4925
@markus4925 Жыл бұрын
Great 👍
@mohammadbasheer1930
@mohammadbasheer1930 Жыл бұрын
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🤩
@pravin5451
@pravin5451 Жыл бұрын
Facts 💯
@a9raag
@a9raag 8 ай бұрын
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.
@ahhgeez
@ahhgeez 7 күн бұрын
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!!
@1997oreosFTW
@1997oreosFTW Жыл бұрын
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.
@henrik.johnsen
@henrik.johnsen 8 ай бұрын
Agreed!
@lorihime
@lorihime 8 ай бұрын
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. :(
@MrJaimeaquerol
@MrJaimeaquerol 8 ай бұрын
I would add different angles simultaneously in a divided screen.
@4Grace4Truth
@4Grace4Truth 8 ай бұрын
It helps to slow the play-back speed in settings
@DanteComerComer
@DanteComerComer 8 ай бұрын
​@@lorihime Of course it does! The government would prefer us not expand or understanding of the 4th dimension.
@hamburgeryumyum7491
@hamburgeryumyum7491 Жыл бұрын
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.
@marcoasturias8520
@marcoasturias8520 Жыл бұрын
Give it time
@tedsheridan8725
@tedsheridan8725 Жыл бұрын
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.
@hamburgeryumyum7491
@hamburgeryumyum7491 Жыл бұрын
@@tedsheridan8725 alright
@andre3420
@andre3420 Жыл бұрын
​@@marcoasturias8520 very underated reply
@sweeperb0t778
@sweeperb0t778 Жыл бұрын
@@andre3420 agreed
@stuartmillington7080
@stuartmillington7080 5 ай бұрын
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.
@guptaabhinav94
@guptaabhinav94 10 ай бұрын
The last 15 seconds are pretty much the best thing i have seen. Awesome work.
@Frostyflytrap
@Frostyflytrap Жыл бұрын
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.
@MCreeper-eg9xy
@MCreeper-eg9xy Жыл бұрын
Yup, exactly how we as 3D beings can only see a 2D projection of 3D objects
@MrOrzech1
@MrOrzech1 Жыл бұрын
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
@xaverstenliz8466
@xaverstenliz8466 Жыл бұрын
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.
@Axel_Andersen
@Axel_Andersen Жыл бұрын
Actually to see distance [change] would not the 1D creature need stereoscopic view ie. need a second dimension ;)
@SolomonUcko
@SolomonUcko Жыл бұрын
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
@roemer2201
@roemer2201 Жыл бұрын
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!
@helldronez
@helldronez Жыл бұрын
ikr
@ren_ergy
@ren_ergy Жыл бұрын
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 >_
@hunterkudo9832
@hunterkudo9832 Жыл бұрын
@@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.
@v.gedace1519
@v.gedace1519 Жыл бұрын
longer animation? lol play with the time ... or just slow down the video speed ;-)
@danurkresnamurti3598
@danurkresnamurti3598 Жыл бұрын
some chanel already show it
@CyRus_HH_9091
@CyRus_HH_9091 9 ай бұрын
It is the best and most reasonable explanation of the 4th dimension, I‘ve seen till now.
@renaminginprogress6903
@renaminginprogress6903 8 ай бұрын
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
@matthewmcbride2893
@matthewmcbride2893 Жыл бұрын
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)
@eltiofresca4998
@eltiofresca4998 Жыл бұрын
@DON'T ok i wont, thanks for the disclaimer
@gabor6259
@gabor6259 Жыл бұрын
Is that really a solution or just a metaphor?
@tentative_flora2690
@tentative_flora2690 Жыл бұрын
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.
@zacharyteibel8580
@zacharyteibel8580 Жыл бұрын
Just blew me away with that thought
@tentative_flora2690
@tentative_flora2690 Жыл бұрын
@@zacharyteibel8580 Glad to be able to share my attempts at trying to make the fourth dimension more visualizable.
@JoeLeonardo
@JoeLeonardo Жыл бұрын
This explanation is perfect. I legit got a little queasy trying to visualize this!
@variancewithin
@variancewithin Жыл бұрын
ooh. damn.
@VladikVP
@VladikVP Жыл бұрын
This explanation is even better than the video tbh
@maxborn7400
@maxborn7400 7 ай бұрын
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.
@moseskim3942
@moseskim3942 11 ай бұрын
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.
@changsangma1915
@changsangma1915 8 ай бұрын
It was shown in Avengers Endgame when Tony creates a simulation to design a time travel mechanism.
@Budkalon
@Budkalon Жыл бұрын
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?
@Crawzitow
@Crawzitow Жыл бұрын
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
@astroceleste292
@astroceleste292 Жыл бұрын
exactly
@jemesmemes9026
@jemesmemes9026 Жыл бұрын
same here, i found this which goes back and forth with it a lot kzbin.info/www/bejne/hJCXh5R9bL-Ee5o
@nikzebnikzeb1389
@nikzebnikzeb1389 Жыл бұрын
if you don't mve it can't work ?
@philcoast1031
@philcoast1031 Жыл бұрын
@@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.
@evotw4853
@evotw4853 Жыл бұрын
This is probably the most beautifully animated topology video I have ever seen! Great job!
@laszloujvari2938
@laszloujvari2938 8 ай бұрын
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.
@kiwi319
@kiwi319 9 ай бұрын
You have an amazing talent for explaining wildly complex phenomena in a way everyone can understand! Thank you so much🙏🏼🙏🏼
@smileyp4535
@smileyp4535 Жыл бұрын
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!)
@Brawler_1337
@Brawler_1337 Жыл бұрын
Yes. A Klein bottle is topologically constructed from two Möbius strips joined along their edges.
@cooly1234
@cooly1234 Жыл бұрын
@@Brawler_1337 along their edges in the 4th dimension?
@Brawler_1337
@Brawler_1337 Жыл бұрын
@@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: kzbin.info/www/bejne/hJCXh5R9bL-Ee5o
@ejesports8275
@ejesports8275 Жыл бұрын
This was an incredible video. The time and effort taken to make this must have been immense. Thank you
@RafaelXavierOcc
@RafaelXavierOcc 28 күн бұрын
nice!! I love when videos really can help me VISUALIZE things, thank you so much
@henaadlakha
@henaadlakha 9 ай бұрын
The best video I have watched about Möbius Strip and Klein Bottle. Great work!
@GuiParchs156
@GuiParchs156 Жыл бұрын
This is truly one of the videos of KZbin, showing one of the strips of all time.
@cerentoks7713
@cerentoks7713 Жыл бұрын
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!
@rohinkumar6453
@rohinkumar6453 10 ай бұрын
guys stop liking
@rohinkumar6453
@rohinkumar6453 10 ай бұрын
the likes have reached the holy number
@Az_o_o
@Az_o_o 7 ай бұрын
This is one of the best videos I have ever watched. Period.
@user-ie5zg4zv5f
@user-ie5zg4zv5f 11 ай бұрын
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
@Rahul-ml2xb
@Rahul-ml2xb Жыл бұрын
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!!!!
@jakegerstein
@jakegerstein 8 ай бұрын
Completely agree. The animations are amazing.
@Xagecoff
@Xagecoff 8 ай бұрын
I want that in a loop!
@hbxit1888
@hbxit1888 6 ай бұрын
the angle should have stayed the same, i couldn't understand anything since everything was moving so fast
@kaseyrolow
@kaseyrolow 5 ай бұрын
You can also just look one up lol the exits. Ppl have made them out of glass
@jackylukewarm3257
@jackylukewarm3257 Жыл бұрын
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.
@drewsfireside
@drewsfireside Жыл бұрын
Thanks! Currently making another :)
@raghavshukla1090
@raghavshukla1090 Жыл бұрын
@@drewsfireside @Jacky Luckewarm is spittin faxx Loved this video and I'm gonna be around until this channel is dead
@EpitomeOfLigma
@EpitomeOfLigma Жыл бұрын
@@drewsfireside Thanks for creating the best movie ever! Möbius
@OhioButtShakerGyattMachine9500
@OhioButtShakerGyattMachine9500 Жыл бұрын
@@drewsfireside It's morbin' time
@seekocon
@seekocon 3 ай бұрын
Amazing. Fantastic. Mind blowing. Yet simple. Ridiculously easy. Extraordinarily explained. Thank you.
@bielxcorrea
@bielxcorrea 4 ай бұрын
This video made me finally be able to conceptualize what a fourth dimension means. Amazing!
@DavidRTribble
@DavidRTribble Жыл бұрын
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.
@bobrickleson2087
@bobrickleson2087 Жыл бұрын
Oh cram it up your ass buddy!!!!
@safegourd
@safegourd Жыл бұрын
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
@EliasMheart
@EliasMheart 13 күн бұрын
That was really well made! I wish there'd be an un-cut version of the visualization of the Klein Bottle, I feel like continuity may have helped me to visualize it better in my head... But still, really really good
@esmademirel7601
@esmademirel7601 11 ай бұрын
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 !!!
@JacobGoodman
@JacobGoodman Жыл бұрын
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.
@drewsfireside
@drewsfireside Жыл бұрын
You're right! I can't believe I overlooked that cylinder counterexample, so thank you!
@itismethatguy
@itismethatguy Жыл бұрын
@@drewsfireside great video, but yeah I didn’t think about that
@StandardName562
@StandardName562 Жыл бұрын
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.
@calinguga
@calinguga Жыл бұрын
i didn't see any solution to the paradox, just a neat visualization. any paradox could be pictured as a loop.
@broor
@broor Жыл бұрын
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
@segevstormlord3713
@segevstormlord3713 Жыл бұрын
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?
@Marissa_J
@Marissa_J Жыл бұрын
Great question!
@ahlamamr4659
@ahlamamr4659 Жыл бұрын
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.
@segevstormlord3713
@segevstormlord3713 Жыл бұрын
@@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.
@vicky-vas7liss8
@vicky-vas7liss8 Жыл бұрын
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.
@segevstormlord3713
@segevstormlord3713 Жыл бұрын
@@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.
@cypherash
@cypherash 7 ай бұрын
Just what i needed to visualise 4th Dimension , Best part about the video would be the fact that narration of explanations let my mind visualise the shape first then it would make much more sense in visual representation.
@legendaryHoldings
@legendaryHoldings 8 ай бұрын
I knew all of this but never seen the grandfather paradox applied to a mobious strip. That was enlightening
@penz1as
@penz1as Жыл бұрын
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.
@meirihagever9132
@meirihagever9132 Жыл бұрын
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.
@jaymcmb
@jaymcmb Жыл бұрын
Crash bandicoot profile picture is funny
@marcosfig.2934
@marcosfig.2934 3 ай бұрын
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!
@jessicabramhall4425
@jessicabramhall4425 3 ай бұрын
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 ❤🎉
@decreasing_entropy3003
@decreasing_entropy3003 Жыл бұрын
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 KZbinr do. Even George Gamow in 'One, Two, Three, Infinity' hasn't given as good an idea of time as you here.
@Sk0rpi0nus
@Sk0rpi0nus Жыл бұрын
I loved watching Möbius. My favorite part was when he said "It's Möbing time" and he Möbiused all over those guys.
@darealbeesechurger
@darealbeesechurger Жыл бұрын
Möbius
@Bossman50.
@Bossman50. Жыл бұрын
Mobiß
@darealbeesechurger
@darealbeesechurger Жыл бұрын
@@Bossman50. møbū§
@wittymchitty
@wittymchitty Жыл бұрын
@@darealbeesechurger ∆∆Œ®81V5
@darealbeesechurger
@darealbeesechurger Жыл бұрын
@@wittymchitty þø⁷đə
@lolepiking3240
@lolepiking3240 10 ай бұрын
i love your explenation of how to interpret the 4th dimensions with 1d and 2d. you earned my subscription
@alijoueizadeh2896
@alijoueizadeh2896 Ай бұрын
Thank you for your time, effort and.... graphics.
@andrewmuhsen8763
@andrewmuhsen8763 Жыл бұрын
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...
@drewsfireside
@drewsfireside Жыл бұрын
Wow thanks!
@phodisomaroeshe7071
@phodisomaroeshe7071 Жыл бұрын
It's Möbin time.
@splex7
@splex7 6 ай бұрын
I can't stop watching. one of the Best educational video ever seen.
@eightysyxxem
@eightysyxxem 11 ай бұрын
Best explanation ive come across yet. And i am soooo stoooopid with this stuff. Tyvm!!!
@orbismworldbuilding8428
@orbismworldbuilding8428 Жыл бұрын
This video is great, i love the thing about the mobius strip explaining a “paradoxical” time loop and all of it, it’s great
@_Quandale_Dingle_
@_Quandale_Dingle_ Жыл бұрын
morbius*
@aquibkhan9385
@aquibkhan9385 Жыл бұрын
I am truly amazed. Man you yourself deserve an award for explaining this so easily!
@dibakarroy4958
@dibakarroy4958 9 ай бұрын
What an awesome video!!! It is definitely the best explanation I’ve ever seen.
@mariaj4883
@mariaj4883 5 ай бұрын
This was such a good quality video. You're really talented!
@eshedruf
@eshedruf Жыл бұрын
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.
@justpantsu
@justpantsu Жыл бұрын
I do have to say, this video is arguably the best and easiest to understand explanation of the 4th dimension and the visualization was genuinely amazing. Like, for real. I don't tend to comment much, but sometimes you just gotta nudge the algorithm because more people gotta see this.
@Rianblo
@Rianblo 11 ай бұрын
Sminem narration is priceless. Thank you.
@rivantage9446
@rivantage9446 9 ай бұрын
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.
@NickAndriadze
@NickAndriadze Жыл бұрын
That last showcase of Klein's Bottle is absolutely ingenious.
@flookaraz
@flookaraz Жыл бұрын
I've seen like probably 10 videos on this topic and this is easily the best one. i don't think any of the ones I've watched have incorporated the temporal dimension at all. your explanation was crystal clear.
@pepekont3736
@pepekont3736 4 ай бұрын
Great video!! I m so happy to finally see i m not the only one thinking its not a paradox as there could be many shapes where time determines the shapes' lengths and different events envolving the same subjects corresponds just to different sides of the shape.For example the mobius strip could hold 2 different events the klein bottle 3 another shape 4 and so on to infinity as dimensions are infinite as well.However i must point out that the final visualisstion needed some work and steadiness, i highly recommend the wikipedia visualization if anyone finds hardship with that part it will be clear as day.Thank you for the work you put in this amazing subject!
@sug4rb0mb
@sug4rb0mb 10 ай бұрын
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.
@terrykosowick594
@terrykosowick594 Жыл бұрын
This was excellent. Well-done. Extremely good graphics. Also, very well explained!
@andylee4245
@andylee4245 Жыл бұрын
I had so many moments of feeling mind-blown throughout this. Your explanations and animations are superb. Keep making videos!
@drewsfireside
@drewsfireside Жыл бұрын
Thanks, will do!
@WildarCZ
@WildarCZ 8 ай бұрын
I know these objects, but what really shocked me, was that part with Möbius strip used in grandfather paradox! I think its quite genial!
@vikramvakil1862
@vikramvakil1862 Ай бұрын
Absolutely brilliant!!!
@eon1311
@eon1311 Жыл бұрын
0:20 I literally thought that it was a cube from the beginning
@cemcankaya9282
@cemcankaya9282 Жыл бұрын
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
@iknowyouwannadie7334
@iknowyouwannadie7334 Ай бұрын
This video is art for me...truly beautiful
@andrewethansbreakroom2588
@andrewethansbreakroom2588 2 ай бұрын
Wow that woke me up this morning! Awesome video! 💯
@macronencer
@macronencer Жыл бұрын
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.
@daddyburkitt5893
@daddyburkitt5893 11 ай бұрын
He fAILED us
@Agent-ie3uv
@Agent-ie3uv 11 ай бұрын
Basically its the circle from 90's and ted ed flat land combined video. 🧐
@mrguapo2215
@mrguapo2215 Жыл бұрын
This is one of the best videos I’ve ever seen, great job man, visuals and explanation were flawless 🙌🏻🙌🏻🙌🏻
@pnp23npn
@pnp23npn 8 ай бұрын
Well, that was waaay the best explanation to understand topography in 4 dimensions. Thanks!
@unknown-vl1fp
@unknown-vl1fp 2 ай бұрын
I GOT FUXKING GOOSEBUMPS WATCHING THIS OMG He explained this so welll
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