The Fourth Dimension Is Real ✨

Ойын-сауық

A documentary about the hidden beauty of the Fourth Dimension.
00:00:00 - Introduction
00:00:41 - Part 1: History
00:01:37 - 4D in Art
00:04:15 - 4D in Movies
00:07:56 - 4D in Games
00:11:25 - Part 2: Dimension
00:13:33 - Reality
00:18:01 - Part 3: Visualisation
00:19:42 - Orthographic Projection
00:20:28 - Perspective Projection
00:21:33 - Cross-Section
00:23:40 - Part 4: Geometry
00:23:50 - Rotations
00:26:23 - Construction
00:28:54 - Outro
00:30:20 - Credits
●●● Credits ●●●
Script, Voice, Editing: Alan Zucconi
- FEZ II Teaser: • Fez II - Announcement ...
- "Adventure" by @dzasterpeace
- "Doctor Who" by Ron Grainer & Delia Derbyshire
All animations have been made in Unity using Shapes by @acegikmo: assetstore.unity.com/packages...
This video was made possible by the support of many patrons on Patreon.
●●● References ●●●
(1) • How do non-euclidean g... by @DigiDigger
(2) • Cracking the 4D Rubik'... by @Mathologer
(3) • SIGGRAPH 2020 Technica... by @marctenbosch
(4) • How Imaginary Numbers ... by @veritasium
(5) • Imaginary Numbers Are ... by @WelchLabsVideo
(6) • Visualizing quaternion... by @3blue1brown
(7) • Further adventures in ... by @henryseg
(8) • So I Guess I'm Making ... by @CodeParade
(9) • I visualized 4D shapes... by @ArtemYashin
●●● Extra Resources ●●●
- "Things to Make and Do in the Fourth Dimension" by @standupmaths: amzn.to/3YZVXqC
- "The Visual Guide To Extra Dimensions" by Chris McMullen: amzn.to/3OUDcQR
- "Flatland" by Edwin A. Abbott: amzn.to/45LDOig
- "The Fourth Dimension and Non-Euclidean Geometry in Modern Art": amzn.to/3sAWbbC
●●● Social Links ●●●
🐦 Twitter ► / alanzucconi
💰 Patreon ► / alanzucconi
🌐 Website ► www.alanzucconi.com

Пікірлер: 134

  • @WiLDbEAsTGameSHere
    @WiLDbEAsTGameSHere8 ай бұрын

    You couldn't understand the 4th dimension? Don't worry , potatoes can't learn algebra.

  • @ikes_Pikes

    @ikes_Pikes

    5 ай бұрын

    I laughed so hard when I saw this comment even though I do understand the 4th dimension

  • @WiLDbEAsTGameSHere

    @WiLDbEAsTGameSHere

    5 ай бұрын

    @@ikes_Pikes thx man i appreciate that.

  • @ashrreal
    @ashrreal6 ай бұрын

    You are criminally underrated

  • @AlanZucconi

    @AlanZucconi

    6 ай бұрын

    I KNOW RIGHT? 🥲🤣

  • @Sandix_A
    @Sandix_A8 ай бұрын

    This documentary is a masterpiece

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    This comment is a masterpiece 😎

  • @nickel1909
    @nickel19098 ай бұрын

    You made an awesome explanation about the 4th dimension, probably the clearest one i’ve ever seen. This vídeo deserves way more recognition

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank you! 🙏 KZread doesn't like that I post only one documentary a year! 🤣

  • @wauthethird
    @wauthethird8 ай бұрын

    A documentary about fractals would be awesome, if this vid is anything to go by.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank you! The next one in planning on making will probably be about emergent behaviours! Although I did write a couple of articles about fractals on my blog!

  • @Jabrils
    @Jabrils8 ай бұрын

    I'm a sucker for a good video journey into the 4th dimension. Great work Alan

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Hey! Thank you SO! much! 😊 It means a lot, especially from you! 🙏 I wish I could make videos faster and turn this into a full-time thing... but apparently one video every 6 months is not really enough to please the algorithm! 🤣

  • @DigiDigger
    @DigiDigger8 ай бұрын

    Wow, you did an amazing job! I can tell you put a lot of love into this and it resulted in this incredibly high quality and interesting documentary. I'm honestly really impressed with the quality of this, keep up the good work!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Aww, thank you so much Digit!!! 😭🙏 It means a lot, especially coming from you! ✨ I wish I had more time to make content as often as the algorithm would like me to! 😅

  • @littlestacy
    @littlestacy8 ай бұрын

    The Fez 2 trailer music at the start gave me psychic damage at the thought of what might have been.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I've been VERY public about the fact that 10 years on, I still wasn't over the loss of what FEZ II could have been. And I'm being VERY serious. I think this documentary was my way of letting go of my grief.

  • @not2shabby694
    @not2shabby6945 ай бұрын

    For most of my life I've had little to no trouble describing the 4th dimension. Now picturing it, that's a different story. When I was younger, about 11 years old, I was in my great grandmother's living room watching TV. Some science program was on and I was enthralled. The episode was about flatland. While it discussed the concept of a 2d world, something clicked in my head. I realized that beings in the 2nd dimension, or "flatland", would see things in the 1st dimension and could only differentiate distance with light or the 2d equivalent. I then realized that we are the same, just bumped up a dimension. Everything we see is a 2 dimensional image and distance is only determined by light and shadows, as far as our brains are concerned. So, for the 4th dimension, you just bump everything up a dimension. So a fourth dimensional being would see everything in the 3rd dimension. If a 2d resident was sitting in his room, looking out a window, a 3d resident could look at them and see their internal organs, their entire house, and even the space around their house. Of course, the distance visible depends on the size of this flatland in comparison to the 3d resident. Now imagine a 4d resident looking at us, the 3d resident. They would be able to see our organs, the entire building, every room, as well as the insulation in the walls, and the space around the building. Just like us looking at flatland, they would see every angle, of every being and object. All while staying completely invisible to us. I believe that humans are capable of picturing and understanding a 4d plane, if we had a reference for one. It's impossible to picture it if we don't have any idea as to what it looks like. There is absolutely no shape or image to give us an idea of it's true form. The situation reminds me of the king who had a pet tiger. He loved the tiger so much that when it passed away, he wanted it stuffed so it would remain with him. The taxidermist he gave the job to lied about knowing what a tiger looked like. So with only the skin and bones of the animal and no idea what it looked like, he attempted to recreate it. It looked very goofy and not really like a tiger at all. That's a true story and you can look up a picture of the stuffed tiger. My point is, even though the taxidermist had the skin and bones of the thing he needed to recreate, he failed miserably. So imagine if he didn't have the skin or bones of the tiger. He only had a confusing, vague, and sometimes contradicting description of what a tiger looked like. Now imagine the description of said tiger completely destroyed the laws of physics and simply couldn't exist in a physical form in our universe. It's nearly impossible to fully picture something if you've never seen it. It becomes definitively impossible when you have absolutely 0 references to go by. When literally everything you've ever experienced is from a 3 dimensional perspective, you can not imagine existing in a true 4th dimension.

  • @AlanZucconi

    @AlanZucconi

    5 ай бұрын

    Thank you for sharing this!

  • @shueibdahir

    @shueibdahir

    10 күн бұрын

    I just realised something. The 3d games and software we play aren't actually 3d. The content exists in a 3d plane but its projected through a 2d camera. Our eyes work like that too. Depth perception isn't actually 3d. Even rotating the 3d object allows me on to perceive the surface a 2d. I cannot see behind it and in front simultaneously. I'd have to occupy all the space around it at once. To perceive 3d to me would mean you'd have to occupy the entire 3d space at once at the same time. I'm truly ignorant here but could that be something like the medium the 3d space exists in? Kinda like how a line imexists inside a paper, leaf, tree or anything that has a 2d surface? What comes into my mind and like i said i dont know anythibg and could never prove this, is that it is the medium which this 3d space itself occupies. So the issue to me isn't about perceiving the world in 4d, but what blows our mind is perceiving it in 3d. Perceiving it in 4d is just beyond our imagination. My mind tellse there's no way. That would be like bending space onto itself. Like i said i don't know what i'm saying. It just purely informed speculation

  • @nullandvoid7881
    @nullandvoid78818 ай бұрын

    I am amazed that you captured so many of my favorite uses of 4D and 4D-like moments in games and media, seeing them all together and one video actually sent chills down my spine! Incredible work, thank you for all the time you put into this!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank YOU for such a kind comment! ❤️ I've been working non stop on this documentary for many months, so I'm really glad you liked it! Definitely lot of love went into its making!

  • @ttvamps
    @ttvamps8 ай бұрын

    Thank you :) Amazing work.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    You're too kind! Glad you liked it though!

  • @willemvandebeek
    @willemvandebeek8 ай бұрын

    Thank you for making and sharing this 4D documentary. Absolutely amazing! Did you know that knots don't exist in 4D space? They will just untangle by sliding over into the 4th dimension. o_O It's such an alien space, which I think I would know by now, but actually I still don't understand at all...

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thanks! 4D geometry is so fascinating!

  • @zaknafein3745
    @zaknafein37458 ай бұрын

    Well done, Alan!! It's humbling to see so much love for FEZ.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Hey Renaud! 🤩 Great to see the video somehow found its way to you! Contacting Polytron is ...surprisingly difficult! 🤣 I actually had a small section about Flatland, but it didn't make it into the final cut! I thought FEZ was already, in its own way, a sort of 3D flatland! And yes, this is indeed a love letter to FEZ. 💌 It's a game that didn't just inspire people, but one that actually changed lives. Mine included. So thank you for helping making that possible. 🙏 If you look at the comments, many are actually expressing their grief at the cancellation of FEZ II. And I think "grief" is the proper word to use here, because its loss is something many are not over yet. I think that in a kinder world, this documentary would have been about FEZ II instead. So in a way, this was my way of letting go of that grief, and making peace with the fact that no, we don't actually live in that kind world I long for.

  • @CaptainJeoy
    @CaptainJeoy8 ай бұрын

    Wow! Such a beautiful video, Alan. This really re-sparked my old interest in the topic of 4D. Thank you.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    You're too kind! But I'm glad you enjoyed it! 😊

  • @Eidio8888
    @Eidio88888 ай бұрын

    my teacher!!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    my student! !

  • @WiLDbEAsTGameSHere

    @WiLDbEAsTGameSHere

    8 ай бұрын

    My friend ?

  • @jooeelzh
    @jooeelzh6 ай бұрын

    Great video! Thank you!

  • @AlanZucconi

    @AlanZucconi

    6 ай бұрын

    You're welcome! ☺️

  • @whateep
    @whateep8 ай бұрын

    Unsurprisingly another amazing video! THis was really interesting!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank you so much! 🙏 I wish I had more time to make more videos! 🥲

  • @tdiogo_gamer
    @tdiogo_gamer5 ай бұрын

    Great video! How does this still have only 5k views?

  • @AlanZucconi

    @AlanZucconi

    5 ай бұрын

    Because I'm at the mercy of the chaotic god that is the KZread algorithm. 🥲

  • @williammorris-julien
    @williammorris-julienАй бұрын

    Fantastic! Loved it!

  • @AlanZucconi

    @AlanZucconi

    Ай бұрын

    Thanks! ✨

  • @Poly_0000
    @Poly_00008 ай бұрын

    you're breaking my heart using the fez 2 trailer in the beginning. God I wish that game came to be. anyways, amazing video!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I have the EXACT same feeling. 🥲 This has been my own way to get over the grief.

  • @seriousOmajan
    @seriousOmajan8 ай бұрын

    Hell yeah I'll sub!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    🙏

  • @ProtopopGames
    @ProtopopGames8 ай бұрын

    How you find the time to create this astounds me

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    It's because I work *every* day. 🥲💀

  • @Roxor128
    @Roxor1288 ай бұрын

    Heh, heh, heh... The video compression could not comprehend your outro!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I KNOW RIGHT??? It's so painful that some games can only be fully appreciated if you play them, as video compression is so unforgiving!

  • @smartocean7777
    @smartocean77778 ай бұрын

    Beautiful video.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank you so much! Glad you liked it!

  • @RaiJolt2
    @RaiJolt23 ай бұрын

    The beginning of this video is soooo dang good. Gives me og tron vibes

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    Thanks! It took a long time to get it right!

  • @RaiJolt2

    @RaiJolt2

    3 ай бұрын

    You’re welcome! I love the effort you put in your videos

  • @whitelatex
    @whitelatex5 ай бұрын

    You might call me crazy but I think I understand why we can't understand a rotation on a wx, wy, wx, wz axis, no and why we can't see 4d, but the factor of how our brain perceives shapes Geometrics always seeing in perspective even changing the shape of the object and therefore when we see a 4d object as a thesis we see the cube phase because we cannot understand that it is flat and to prove this, draw two squares without connecting them with canvases, you can see the square but connect one and you will see a cube our brain gets used to seeing everything as square rectangle cubes It is not a mental limitation but a practical one However, there may be a shortcut to this practice the touch without picking up any object, if a 1 year old child sees the 3d shadow of something and sees that something moving, he will think that it has changed the shape but if you give the cube to the child without touch, he can understand how the rotation works the d axis is just a blind angle in our vision that everything from all directions looks the same but if we hold it in our hand the progression of rotation w can be recorded We possibly do not understand the 4d of objects because we are not taught as children to visualize them now everything I said sounds like crazy nahh and it's just a reflection that I did with some experiments to visualize and project 3d leftovers from something 4d like tesranc lol

  • @jeannerani3967
    @jeannerani39672 ай бұрын

    I have been in the fourth dimension, if you’re there you understand it. Don’t let anybody deceive you and say you can’t get there.

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    Which train did you take?

  • @sparker938
    @sparker9386 ай бұрын

    I love this documentary 😊

  • @AlanZucconi

    @AlanZucconi

    6 ай бұрын

    Awww, thanks! I had a lot of fun making it! ✨ There are more documentaries with a similar style on my channel, in case you're interested!

  • @shueibdahir
    @shueibdahir10 күн бұрын

    Just as the cube is made of squares, the tesseract to my mind looks like it's made up of several fused cubes rotating along an axis my mind cannot yet comprehend. But i'm starting to understand

  • @AlanZucconi

    @AlanZucconi

    8 күн бұрын

    It's definitely one way to help understanding!

  • @ayyappaj8111
    @ayyappaj81118 ай бұрын

    Eye opener 23:47 Thanks for the great video! Mainly from second half of the video it was awesome!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I know right! The rotation planes are such a common misconception! 🤣

  • @nonac95
    @nonac958 ай бұрын

    That intro reminiscent of FEZ 2 was HARD to watch… 😢 PD: fucking amazing video man, congrats!!!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I KNOW RIGHT? 🥲 I wanted to pay respects to what the game could have been!

  • @Eidio8888
    @Eidio88888 ай бұрын

    OMG IM LATER BUT ITS WHAT I WANT !!!!!THANKS, GOLDSMITH!!

  • @marshmatter
    @marshmatter8 ай бұрын

    Finally, Fez II

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    It was my way up pay homage to what FEZ II could have been. 🥲

  • @StreetSurfersAlex
    @StreetSurfersAlex8 ай бұрын

    Why are the likes hidden?

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Are they? 😲

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Fixed!

  • @joyeze5036
    @joyeze50368 ай бұрын

    Apt 👌

  • @Daydreamer0605
    @Daydreamer06055 ай бұрын

    Maybe the 4th dimension was friends we made along the way

  • @AlanZucconi

    @AlanZucconi

    5 ай бұрын

    Ok, but in which direction? 🧐

  • @AllesWasFunnyIst
    @AllesWasFunnyIst4 ай бұрын

    I would love to see a video about Fractals

  • @AlanZucconi

    @AlanZucconi

    4 ай бұрын

    And I'd love to make it! ✨

  • @robrab2000
    @robrab20008 ай бұрын

    Superb 🤌🏽

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Super comment 🤌

  • @emw2708
    @emw27083 ай бұрын

    Something I struggle with is that wouldn't like a hypersphere, a hypercube be made up of an uncountable number of 3D slices intrinsically linked along its 4th axis? How do you square (heh, get it?) this model with the 8 cube tesseract one?

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    Well the same is true for a traditional 3D cube. It's made out of infinitely many zero-thickness 2D squares along its third axis. But at the same time, you can join 6 2D squares at their edges to create a cubic shell! 💪

  • @emw2708

    @emw2708

    3 ай бұрын

    ​@@AlanZucconi but if you were able to link an infinite number of cubes along the 4th axis (within a finite distance ofc) would it inherently become a tesseract with 8 cube face, or something different?

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    @@emw2708 Yes, that would become a tesseract! This is because you can (intuitively) imagine a tesseract as a 3D cube that moves over time. Every time slice would be a different point along the W axis.

  • @emw2708

    @emw2708

    3 ай бұрын

    @@AlanZucconi Oh I think I get it. I'm thinking of the wireframe tesseract too literally, when really the wire frames (at their most pronounced point) represent the two cubes at each end of its 4D height I think? While all the other 3D frames are the cubes in between? Like a line of cubes coming at you but the cube closest to you is still attached to the cube in the back in like a spherical loop through the centers of the cubes. Trippy!

  • @emw2708

    @emw2708

    3 ай бұрын

    I guess this would explain how a 4D observer would also be able to see inside of you. If it was only 1 cube I think it would be turned inside out when its wrapping back around without the other cubes protecting those angles.

  • @CriticalBrainTube
    @CriticalBrainTube8 ай бұрын

    Hi Alan, I live in the fourth dimension. You have a mole on the underside of your left arm that I think you should get checked out. Otherwise, cheers on this breakthrough video!

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I'm calling my GP right now! 😲

  • @octosaurinvasion
    @octosaurinvasion8 ай бұрын

    Here for when this randomly blows up to 773k views in three years

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    I'll put that on my calendar! 😎

  • @JayS.-mm3qr
    @JayS.-mm3qr21 күн бұрын

    If there were things in the 4th dimension, we would see evidence of it. I don't see things appearing and disappearing.

  • @AlanZucconi

    @AlanZucconi

    21 күн бұрын

    That's not necessarily the case. In many theories, including string theories, those extra dimensions are "compressed".

  • @JayS.-mm3qr

    @JayS.-mm3qr

    21 күн бұрын

    @@AlanZucconi compressed eh? Interesting.

  • @Kyoki_Electric
    @Kyoki_Electric7 ай бұрын

    Yay I'm becoming insane again :D

  • @AlanZucconi

    @AlanZucconi

    7 ай бұрын

    It's one of the many risks of being exposed to the fourth dimension.

  • @columbus8myhw
    @columbus8myhw8 ай бұрын

    It is not accurate to say that points on the Koch curve can't be described with a single coordinate. They can. The "topological dimension" (as it's known) of the Koch curve is 1. There is another notion of dimension, the "Hausdorff (or fractal) dimension," which puts it between 1 and 2.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Thank you for the clarification! This is actually really great to know!

  • @Cutiekk_YT_Roblox
    @Cutiekk_YT_Roblox3 ай бұрын

    i was going to get the monument valley game but it cost 4 dollars

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    It's money well spent!

  • @jeromej.1992
    @jeromej.19926 ай бұрын

    Ah, no honorable mention of 4D miner. :( afaik it also has accurate 4 dimension representation.

  • @AlanZucconi

    @AlanZucconi

    6 ай бұрын

    I see it's not out yet! I'll try to post about it when it comes out!

  • @aprilbrent5851
    @aprilbrent58513 ай бұрын

    Would be nice to have the names of the games next to the picture!

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    They are! 😅

  • @aprilbrent5851

    @aprilbrent5851

    3 ай бұрын

    @@AlanZucconi wow it’s so tiny. Saw it thanks! Please keep up the great work ❤️

  • @AlanZucconi

    @AlanZucconi

    3 ай бұрын

    @@aprilbrent5851 thanks! 🙏

  • @Crates-Media
    @Crates-Media2 ай бұрын

    "... a line is a one-dimensional object..." (proceeds to show something that is neither a line nor in one dimension)

  • @Crates-Media

    @Crates-Media

    2 ай бұрын

    "Are numbers real?" (suggests that negative numbers aren't real when they are mathematically defined as "real numbers")

  • @Crates-Media

    @Crates-Media

    2 ай бұрын

    "Let me show you this 3x3 matrix which has 9 dimensions..." (no idea it has 6 linearly independent vectors and 6 dimensions max)

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    That's an interesting point! But the number of dimensions is a different concepts to the number of linearly independent vectors! Something with 9 degrees of freedom still remains a 9-dimensional object, even if all of those are 0s!

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    Ah! Well, I *hate* that REAL NUMBERS are called "real". It's such a bad word!!! Because the world "real" (used in everyday life) has a very different meaning to "real" (used in mathematics). It's a bit like "significant". It means something in English, and it means something different in Statistics.

  • @nicolaecalin4217
    @nicolaecalin42178 ай бұрын

    Why no live chat

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    There's a live chat RIGHT NOW! Try refreshing the page!

  • @matthewventures
    @matthewventures8 ай бұрын

    Einstein and others have said time is the fourth dimension, could you address that?

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Sure! What you're referring is known as SPACETIME. Basically, to identify an event in our universe you need FOUR coordinates: WHERE it happened (x, y, z) and WHEN it happened (t). So we live in 4 dimensions: three spatial ones, and one temporal. But Einstein's spacetime is still 3D when it come to space. What I'm talking in the video is imagining a universe where there are FOUR spatial coordinates: x, y, z and w.

  • @fezblock100
    @fezblock1008 ай бұрын

    My username liked this

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    My username liked your username 😎

  • @SimenRenslemo
    @SimenRenslemo2 ай бұрын

    :) :D

  • @mashalbatool2499
    @mashalbatool24992 ай бұрын

    How this possible that 4 dimension is real

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    Not sure if you had a chance to watch the entire video yet, but it's explained there!

  • @mashalbatool2499

    @mashalbatool2499

    2 ай бұрын

    Oh ok

  • @OddRagnarDengLerstl
    @OddRagnarDengLerstl3 ай бұрын

    4 dimensions exist, but maybe not 4 spacial dimensions.

  • @OddRagnarDengLerstl

    @OddRagnarDengLerstl

    3 ай бұрын

    Very interesting video. The focus is mainly on 4 spacial dimensions. Often time is considered the 4th. I often rather think of time as the zero'th dimension. Could more temporal dimensions be possible?

  • @whoami0x
    @whoami0x2 ай бұрын

    Isn't 4 dimension time ?

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    Not necessarily. You can use time to show a 4D dimensional object: i.e. showing a 3D object changing over time. But it's like saying that the 3rd dimension of a 3D object is time, and you're showing 2D slices of our world. "True" 4D objects are different from 3D objects which are changing over time.

  • @whoami0x

    @whoami0x

    2 ай бұрын

    @@AlanZucconi 😴😴💤 thanks for your time

  • @DonaldKronos
    @DonaldKronos8 ай бұрын

    You were doing fine right up until the point where you decided to assume the two dimensional beings would only be able to see a slice of a three-dimensional object that intersects with their two dimensions. That's not how Imaging works. Already humanize essentially have a two-dimensional surface and the lens that casts a projection of the world around us onto that two-dimensional surface. If we used the same lens but only a one-dimensional slice of our retina, we would get pretty much the effect that you're talking about seeing only a one-dimensional projection of a two-dimensional slice of a 3D World from our point of view, but a different sort of lensing system could be used to project the 3D scene onto the linear strip of retina, and likewise a two-dimensional being able to see three-dimensional objects could do so properly if the three-dimensional scene were projected onto it's effectively one-dimensional retina. That's not a slice. It's a projection, but it's not a projection of a projection. It's a direct projection.

  • @AlanZucconi

    @AlanZucconi

    8 ай бұрын

    Hi! That's an interesting point! I wasn't talking _directly_ about how eyes and retinas would work in 2D. Mostly because that would entail a lot of assumptions! My main argument is that only the 3D points that intersect the 2D plane would physically manifest in that 2D world. So those are the only points that can actually appear and be perceived by beings locked in a 2D slice. How they would physically "see" it, is not something I've really discussed!

  • @mashalbatool2499
    @mashalbatool24992 ай бұрын

    But it looks so werid were it found

  • @xNathan2439x
    @xNathan2439x2 ай бұрын

    This video is cap (ill update later if it turns out to not be cap) [i haven't watched the video yet]

  • @AlanZucconi

    @AlanZucconi

    2 ай бұрын

    💯🚫🧢 The title is definitely click-baity in the sense that is attracts people's curiosity. But I promise it is not click-baity in the sense that what you see in the thumbnail/title is not what it contains. The fourth dimension is 100% real. But "real" doesn't mean "physical". We use four-dimensional objects every day (such as quaternions and homogeneous coordinates!). They're REAL, but they're not PHYSICAL! In a similar way numbers are real, but they're not physical.

  • @Tuttigiu
    @Tuttigiu10 күн бұрын

    Hey Fourth is size.

  • @AlanZucconi

    @AlanZucconi

    8 күн бұрын

    📏

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