Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 2]

This is part 2 of the series. We take a look at Hyperspheres, Hypercones, and Hypercubes (tesseract).
Graphics:
"Cono y secciones"
By Drini (Own work) [GFDL (www.gnu.org/cop...) or CC BY-SA 4.0-3.0-2.5-2.0-1.0 (creativecommons...)], via Wikimedia Commons
Music:
Secret Lives - David O' Brien (www.audionetwork.com)
Mystery Jazz - Jacob Simmons ([e-mail])
Journey Into the 4th Dimension - Jacob Simmons ([e-mail])
Three Chain Links - Die Historic: • Three Chain Links - Di... (Royalty Free Planet)
Aspire (piano)

[@xxseyroxx3970]

*meanwhile in flatland . . .* Visualizing 3D Geometry - A Journey Into the 3rd Dimension [Part 2]

[@ava_niche]

As you wrote this, I wondered, since the flatlanders can't quickly differentiate between letters just by looking at one edge (similar to how we don't know for sure which shape we're looking at by seeing only one side), do they use Morse code to communicate?

[@user-rs1df5gl7e]

@@ava_niche i think they will be using colors for visualization.

[@ava_niche]

@@user-rs1df5gl7e Try to imagine your ideas on a 3D world. We don't use colours to identify shapes or alphabets.

[@ThumbsTup]

@@ava_niche they probably use some kind of binary system or use colours

[@ava_niche]

@@ThumbsTup A binary system is essentially Morse code. Two bits (0 and 1 or dot and dash) are used in a pattern to communicate. Also, using colours would be rather inefficient since there's only so many colours but a lot of words.

[@Mikelaxo]

Imagine chilling in your room an suddenly a random floating shape appears out of nowhere morphing into different random shapes until it dessapears...

[@The_world_is_not_worthy_of_Him]

Thats called drugs

[@MegaMoh]

@@The_world_is_not_worthy_of_Him hyperdrugs*

[@felipepreciadojr.7882]

I swear to God me and 3 others saw that shit in the sky.... for years been trying to figure out wtf we saw.... can't wait to explain it to them So one night me and my buddy were chilling with 2 females we're driving around and we get to a stop sign. And we look up into the night sky and we see some kind of object up there flying around and hovering it look like it was breathing. And we were kind of mesmerized by it. Then we realize that there was nobody on the street oh, there was no sounds there was no wind there was no cars no traffic no people it was like time had stopped except for us and that thing up there floating. So now I realize it was something from the fourth dimension because that's exactly how it was moving the way this video explains it. And then the thing starts coming towards us. So we panicked and we took off. I remember we traveled for about a block and I can't remember anything past that none of us could

[@bigbopete2667]

That aint weed you smoking nigga...Weed dont make a nigga trip that hard.

[@hopelessdigger]

@@felipepreciadojr.7882 can you explain wtf?

[@infinity0077]

Alternate title idea: “Where lost nerf darts go”

[@micaelacrapo]

thats when the gun is so good that the bullet turns through the 4th dimension

[@cats1132]

That`s so funny aaaa

[@luamfernandez6031]

I am seriously considering the possibility of reaching some matter out of our 3 dimensional plane and making it be ours.

[@xaio-xen4433]

Imagine what geometry tests in the 4th dimension are like

[@carlose4314]

Volume and hypervolumes

[@jlydon29]

Take 5 grams of psilocybin and you will see 4D geometry. Or at least slices of it in 3D. I'm not even joking.

[@WYKLO]

*Flips hypertesseract table*

[@memerboi69.0]

TIME FOR 6D TESTS

[@Paycheck777]

Comprehendsble for them I assume, just as if we took a normal geometry test, but their challenge would be the fifth dimension.

[@wyntryx7977]

4 dimensional creatures: _theyre getting smarter_

[@ravemaster9915]

what if we live in the same universe as 4d'ers and they perceive things much differently from us?

[@hamster8706]

666 Dimensional creatures: *Laughs in deformation*

[@jhgames5381]

What if God is from a higher dimension than us and that is how he created everything from our dimension?

[@samerinaa]

@@jhgames5381 yes

[@genesisplus4325]

@@ravemaster9915 4th dimensional being: -"son, don't bother that nest of humans, they didn't do anything to you."

[@infoteka1708]

This is by far the best visualization and explanation of 4d dimension

[@arattactician5697]

I've never felt so scared by watching a cube rotate. This is, I don't know what this is...

[@nerodino5508]

"YOOOOOOOOO, THAT'S TRIPPY. HEY BUD, WHAT DRUG WAS THIS U PUT ON MAH DRINK? BUD?? WAIT, WHAT DO YOU MEAN THIS IS *REAL* BUD? EY BUD, WTF?"

[@christinehabib3236]

i felt kida weird to and creeped out

[@remi_noire]

Nero Dino drugs = cheats;)

[@CeeTee380]

Super trippy, but thanks to getting my mind blown by this vid, if I ever witnessed something similarly bizarre irl, maybe my memory banks will make the connection and I’ll recognize that it’s a 4d object.

[@austintroy2441]

@@viniboi9 i'd hope you wouldn't, because now you know exactly what would be happening. you are witnessing something from a dimension beyond your comprehension, maybe trying to communicate with you. divinity.

[@prouddad6665]

This absolutely helped me understand 4D. It was like a sleeping part of my brain waking up. Thank you.

[@ganaraminukshuk0]

If our reality was extrapolated to 4 dimensions... - Round earthers don't make sense, but flat earthers would make even less sense. - One of the simplest musical instruments would be the tetrahedron. - When you roll dice, any one die will display a number from 1 to 8 instead of 1 to 6; you can have regular dice that have 5, 8, 16, 24, 120, or 600 different results. - Intersections between three streets are commonplace; apart from going straight, turn lanes can go left, right, up, or down (hyper-up and hyper-down are the 4D directions and those are reserved for hyperflying). - In addition to widescreen and ultrawide, hypermonitors can also be deepscreen or ultradeep; hypermonitors that are widescreen are usually also deepscreen with an aspect ratio of 16:9:4, an upgrade from 4:3:2; a 1080p hypermonitor would have a screen resolution of 1920*1080*480, an ultrawide equivalent 2560*1080*480, an ultradeep equivalent 1920*1080*1920. A hypermonitors that is both ultrawide and ultradeep may require a GTX 1166400-T2 to run. - A 4K hypermonitor would have the same number of voxels as eight 1080p hypermonitors. - Cars have eight tires and would have 4 turn signals instead of 2. - A piano would have 7744 keys. (I have no good reason why.) - An MTG hypercard would have as much text as a deck of MTG cards in 3 dimensions. - You can draw a cube with absolutely no distortions on a piece of hyperpaper. - Painting is like reverse sculpting; instead of subtracting material from a 4D medium (like a block of hypermarble), you're adding pigment to a 3D canvas. - Elevators have to go hyper-up and hyper-down instead. - Klein bottles don't self-intersect like they do in 3 dimensions. - Hyperprinting is basically 3D printing. - People have a hard time learning octonions; quaternions and complex numbers are straightforward; 7blue1brown would also have a video on octonions. - There are speedtessing communities, not speedcubing communities. - This video would be titled "Visualizing 5D Geometry - A Journey Into the 5th Dimension [Part 4]"

[@Seb135-e1i]

Don't forget about the guy that makes a 4D shape out of Klein bottles and then everyone is frustrated because 4 dimensions is not enough and they need 5 for the hyper Klein bottle to work.

[@tmfan3888]

For the printing part, they would have hyperprinting (4d printing) in addition to both 2d and 3d printing. Hyperholography tech is available. Humans have more complicated body structures but is difficult to imagine in 3d. Buildings look like tesseroids instead of cuboids. In fact any cuboid objects in our 3d world will be tesseroid in 4d world. Windows are cuboid.

[@TheSuperMARIOnette]

I've just sh.t a hyperbrick...

[@jatgreen2995]

but 2d would be obsolete... it'd be like 1d to us, completely useless for showing any kind of information.

[@sky-persuitofwonder]

@@TheSuperMARIOnette lol

[@dan7291able]

Very cool, thank you so much for this Makes me wonder if the electrons that "pop in and out of existence" arent projections of 4 dimensional spheres or something...

[@againandagain174]

This opened my mind

[@thatnerdoverthere2248]

Hold the f*ck up. I literally didn't think of that. the random bits of matter that are always everywhere popping in and out of existence might just be another object colliding with our dimension!

[@jasondeng7677]

BRUH no, that does make sense. Very interesting theory, though it's probably a cylindrical structure since then it would pop in and out immediately instead of gradually. you can see it's clear cutting at the ends of a 3 dimensional cylinder. Interesting.

[@juanbilbao3848]

Random Chicken wait Strings are long cylinders String theory

[@jasondeng7677]

@@juanbilbao3848 Well

[@btipton]

This is one of the best videos about 4D I’ve found on KZbin.

[@robot-sensei]

me all video : *shows* *it* *on* *4D* *to* *3D* what the *** what is going on ?!!? *shows* *it* *on* *3D* *to* *2D* ohh right now I get it

[@gdlunar3773]

Shows 4D on the 3D model editor on the 2D monitor

[@robot-sensei]

:mindblown:

[@Iron-Jupiter]

Same here lol

[@Damianskull]

@@gdlunar3773 Sometimes I rhink people just dont listen what they are listening to, something that makes no sense. 3D model, the hell? You know that almsot everything in our world is 3D?

[@Damianskull]

@@xXY-FXx ALMOST, so it isnt 2d

[@gmalamat1393]

Good to know that ball I found wasn't glitching out of reality but was simply a 4D cone

[@chaitrakulkarni5034]

When u found the ball glitch

[@cycrothelargeplanet]

A random 4d ball glitched and started rotating on it's own then got teleported to the third dimension

[@Mina265]

a 4d cone would be a sphere coming into reality then coming out immediately. and its rotation in 4d would be like a round cube transforming into random shapes

[@owen7185]

This is by far the best study into 4d objects I've come across, really well done

[@doggoarmstrong9216]

And my mom said I'd never learn anything from "KZbins." _Haaaaaaaaaaa!_

[@tyhggb]

Doggo Armstrong hey, there are fucktards just finding out that the earth is flat on this platform as well. If only you could rank videos as actually educational or not.

[@sallymay3643]

That's funny. Hug ur mom!

[@Lumanova]

This video teaches more in 20 minutes than school teaches in years.

[@evaaranda2869]

@@sallymay3643 There should be a "Scholar KZbin" or "ED KZbin" after all we already have a "Music KZbin" And "KZbin Kids". The only problem is that it will probably result in political-intellectual policing from the KZbin staff hypermorons.

[@Jemar_Blount-Golden]

ikr: "Pika-chaaa!"

[@lirachasmody]

what this video teached me: how to troll 2d people

[@-mikko-1373]

You won't be laughing when random cube that changes colors and shape appears in your room

[@lirachasmody]

@@-mikko-1373 bruh

[@shooter5439]

@@-mikko-1373 hahahaha (not irony)

[@jestajoemc]

F_x woooosh

[@badtrwa4047]

Draw a circle around them

[@danielmiller2886]

Far and above the best demonstration of the fourth dimension on the internet.

[@meetsys]

Teacher: the test isnt confusing The test:

[@fetendo8291]

It's blank

[@NiLem98]

@@fetendo8291 No, it vanished into 4D space and you have to wait until a 3D slice of it is seen, that you are asked to solve until you solve the 4D test. The problem: there are infinite 3D slices of said test.

[@kathyaw1]

not confusing if you peice together each slice

[@Laffy-ix5xy]

You know what they say. If it isn't confusing, you don't understand it 😵

[@GB_0110]

It’s not confusing

[@chrissekely]

Imagine a normal empty/hollow 3D box. Let's assume it's cube shaped. This boxe's 2D faces can be unfolded to form a flat 2D shape. Would you please unfold a hollow tesseract's 3D sides into 3D space for us.

[@TheLazyEngineer]

interesting. Ill keep this in mind. Thank you.

[@quacking.duck.3243]

Chris Sekely IIRC they form kind of a cross shape, like the square faces of the cube, but at the intersection there are 4 cubes sticking out. The other 4 form the cross' shaft.

[@chrissekely]

Thank you both. I thought this may help the visualization/conceptualization process. It may for some people, but 4D is just hard regardless...

[@davidgalbraith356]

Yah this is what I thought i was going to see in the video which have been used by many professors to explain 3D to 4D changes just as 2D changes to 3D which made it slightly more convoluted because we can after all only see in a 3D plane so its very difficult to visualize that cube intersection as explained by Duck

[@cloverly8050]

imagine being insid the box as it fades out of third dimensional space time, your body being crushed/bumped into the fourth dimensional plane

[@charlestaylor3195]

You just blew my mind. I've been sitting here for 30 minutes, probably more, writing and rewriting a question. I started this journey on another subject with a burning question. Now instead of an answer, I have more questions that I can't even ask, yet. Looking at things from a different perspective is good, but when the perspective is. And I will stop right there, enough is enough, thank you excellent videos.

[@hyperlinkdreams]

why am i sad that i cant move in the 4th dimension

[@Kim-pb8qi]

you're not the only one

[@pranavvkr]

@Jameson Waters You mean we can get to the flat landers?

[@griffin7670]

Its easy, just close your eyes and push on your eyelids

[@_Killkor]

*The scary thought:* Shifting yourself along W-axis isn't the difficult part here. Consider this: To 4D-space standards, our 3D Universe is infinitely thin, lying entirely on W=0 point within this 4D space. I'd be insanely, if not impossibly hard, for a 3D being (like human) to perfectly align themselves with the plane of our Universe: in order to enter our Universe (and appear fully in it). Basically: You'd be forever stranded in the 4D space, always ending up next to the infinitely thin plane of our 3D Universe. For the observers within our 3D Universe, you wouldn't be phasing in and out of our Universe, like these 4D shapes did. You'd instantly flash in and out, much faster than light speed - in fact, nothing could detect you passing by. Remember - you're a 3D being. Your W-length is 0. If you were outside of our 3D Universe, floating right next to its plane within the 4D space, and decided to phase through our Universe, you'd appear inside our 3D Universe for an infinitely small moment, and right after that, you'd find yourself floating on the other side of our Universe's plane, completely missing it, missing stopping at exact W=0, due to inertia of your movement. Once again, stuck in 4D space, floating next to our 3D Universe. What I'm trying to say, after venturing into 4D by moving on the W axis, in order to return safe and sound into our 3D Universe, we'd have to make sure, our W coordinate displacement is equal to 0, with infinite precision. In a way, the fact we can't accidentally shift on W axis is a blessing. We wouldn't know, how to return.

[@user-rs1df5gl7e]

@@_Killkor wow seems you have picture it out on how a "Thing" looks like in 4D world with just a random shapes and colour appearing in a room. I envy you :< i might watch more 4D forum again for more knowledge about 4D space. Higher dimension confuse me, even teaseract(?) 🙁

[@ricmuch]

This makes me feel smart even though I'm really not

[@dole-brentbayalas854]

I must comment that you have underestimated your ability to comprehend.

[@destree6348]

Honestly same

[@Buttergirla]

Your mind is greater than I think

[@PC_Simo]

One thing that’s caught my attention is that in lot of videos and sources (NOT this one, though), especially about 4D knots and links, one might get the idea that you could link two spheres in a 4D-space. This is simply not true. You can only link a sphere and a circle (or a hypersphere and a point) in a 4D-space, and to link two spheres (or a hypersphere and a circle), you need a 5D-space. Generally, the combined dimension of your linkable components must be precisely 1 less than the dimension of the surrounding space. In other words, you can link an l-sphere and an m-sphere in an n-space, iff l+m=n-1. If l+m>n-1, the components will intersect; and if l+m

[@herculean616]

You're watching someone explain the 4D dimension in a 2D screen.

[@marcosrodriguez3235]

U realize what we see is the 2d but we live in 3D

[@brysonsirus7747]

Marcos Rodriguez and 2d creatures live in 2d but see a line segment.

[@sharp5624]

Herculean on your 3d phone (SCREEN also 3d)

[@sharp5624]

Herculean but.. the screeen for real is 3d but very thin. ya ya i kno dat u kno it

[@oxydd]

screen isn't really 2D but 4D in 2D in VISUALISING is looking VERY strange

[@EnfermeiroPensador]

This is the most amazing 4D visualization!! Thanks, you're awesome! For the next videos, you should try to represent more complex structures we see in our lives. Like a 4D house, 4D building, 4D car, etc...

[@IcaroCamposdeAPinto]

Whoa, I think this a little difficult to him to do this.

[@TheLazyEngineer]

+Rodrigo Bruno I will keep this in mind. I like this idea and I have some thoughts on how this can be done. Thanks!

[@bigpump2620]

Rodrigo Bruno nope your still seeing 3d on this video lol

[@SwarthySkinnedOne]

A 4D Donald Trump. Can you do it? That should be a cinch, right?

[@Kellognr]

We live in 4D, the 4th dimension has perspective, we need 5D stuff

[@helpme2401]

Science videos Vsauce Experiments *I sleep* Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 1] *Real shit?* Visualizing 4D Geometry - A Journey Into the 4th Dimension [Part 2] *A S C E N D E D*

[@MaximumBan]

Cant agree more!

[@charlesbrightman4237]

'Enlightened'? Copy and paste of my TOE: The 'gem' photon is the energy unit of this universe? Revised TOE: 3/25/2017a. My Current TOE: THE SETUP: 1. Modern science currently recognizes four forces of nature: The strong nuclear force, the weak nuclear force, gravity, and electromagnetism. 2. In school we are taught that with magnetism, opposite polarities attract and like polarities repel. But inside the arc of a large horseshoe magnet it's the other way around, like polarities attract and opposite polarities repel. (I have proved this to myself with magnets and anybody with a large horseshoe magnet and two smaller bar magnets can easily prove this to yourself too. It occurs at the outer end of the inner arc of the horseshoe magnet.). 3. Charged particles have an associated magnetic field with them. 4. Protons and electrons are charged particles and have their associated magnetic fields with them. 5. Photons also have both an electric and a magnetic component to them. FOUR FORCES OF NATURE DOWN INTO TWO: 6. When an electron is in close proximity to the nucleus, it would basically generate a 360 degree spherical magnetic field. 7. Like charged protons would stick together inside of this magnetic field, while simultaneously repelling opposite charged electrons inside this magnetic field, while simultaneously attracting the opposite charged electrons across the inner portion of the electron's moving magnetic field. 8. There are probably no such thing as "gluons" in actual reality. 9. The strong nuclear force and the weak nuclear force are probably derivatives of the electro-magnetic field interactions between electrons and protons. 10. The nucleus is probably an electro-magnetic field boundary. 11. Quarks also supposedly have a charge to them and then would also most likely have electro-magnetic fields associated with them, possibly a different arrangement for each of the six different type of quarks. 12. The interactions between the quarks EM forces are how and why protons and neutrons formulate as well as how and why protons and neutrons stay inside of the nucleus and do not just pass through as neutrinos do. THE GEM FORCE INTERACTIONS AND QUANTA: 13. Personally, I currently believe that the directional force in photons is "gravity". It's the force that makes the sine wave of EM energy go from a wide (maximum extension) to a point (minimum extension) of a moving photon and acts 90 degrees to the EM forces which act 90 degrees to each other. When the EM gets to maximum extension, "gravity" flips and EM goes to minimum, then "gravity" flips and goes back to maximum, etc, etc. A stationary photon would pulse from it's maximum extension to a point possibly even too small to detect, then back to maximum, etc, etc. 14. I also believe that a pulsating, swirling singularity (which is basically a pulsating, swirling 'gem' photon) is the energy unit in this universe. 15. When these pulsating, swirling energy units interact with other energy units, they tangle together and can interlock at times. Various shapes (strings, spheres, whatever) might be formed, which then create sub-atomic material, atoms, molecules, and everything in existence in this universe. 16. When the energy units unite and interlock together they would tend to stabilize and vibrate. 17. I believe there is probably a Photonic Theory Of The Atomic Structure. 18. Everything is basically "light" (photons) in a universe entirely filled with "light" (photons). THE MAGNETIC FORCE SPECIFICALLY: 19. When the electron with it's associated magnetic field goes around the proton with it's associated magnetic field, internal and external energy oscillations are set up. 20. When more than one atom is involved, and these energy frequencies align, they add together, specifically the magnetic field frequency. 21. I currently believe that this is where a line of flux originates from, aligned magnetic field frequencies. NOTES: 22. The Earth can be looked at as being a massive singular interacting photon with it's magnetic field, electrical surface field, and gravity, all three photonic forces all being 90 degrees from each other. 23. The flat spiral galaxy can be looked at as being a massive singular interacting photon with it's magnetic fields on each side of the plane of matter, the electrical field along the plane of matter, and gravity being directed towards the galactic center's black hole where the gravitational forces would meet, all three photonic forces all being 90 degrees from each other. 24. As below in the singularity, as above in the galaxy and probably universe as well. 25. I believe there are only two forces of nature, Gravity and EM, (GEM). Due to the stability of the GEM with the energy unit, this is also why the forces of nature haven't evolved by now. Of which with the current theory of understanding, how come the forces of nature haven't evolved by now since the original conditions acting upon the singularity aren't acting upon them like they originally were, billions of years have supposedly elapsed, in a universe that continues to expand and cool, with energy that could not be created nor destroyed would be getting less and less dense? My theory would seem to make more sense if in fact it is really true. I really wonder if it is in fact really true. 26. And the universe would be expanding due to these pulsating and interacting energy units and would also allow galaxies to collide, of which, how could galaxies ever collide if they are all speeding away from each other like is currently taught? DISCLAIMER: 27. As I as well as all of humanity truly do not know what we do not know, the above certainly could be wrong. It would have to be proved or disproved to know for more certainty.

[@Lumanova]

@@charlesbrightman4237 I am not gonna even bother read all that.

[@charlesbrightman4237]

@@Lumanova That's okay, it's only meant for intelligent people interested in such things.

[@moizsiddiqui5690]

Wonderfully made. I loved the fact that you moved from sphere to the tesseract. Due to media and all I suppose the most commonly known 4D object is the tesseract, perhaps in part due to a cool name! Yet it's the most difficult to understand in my opinion, compared to 4-sphere and 4-cone. I can imagine the homework gone into this. Major props buddy. Very well done.

[@BrooklyFire]

so when we see those horrible deformating glitches in videogames, they are actually from the 4th dimension!

[@veejaytabigne4721]

probably yes

[@Dirtfire]

Someone is working on a 4d computer game. I think the name is "Miegakure", or something similar. Look it up on youtube.

[@moosles1357]

@@Dirtfire thank you you are truly meta

[@slolilols]

*_What are you doing here Taiga?_*

[@BrooklyFire]

@@slolilols Ryūji?!

[@AndrewNovitsky]

So now we know why flatearthers don`t believe the earth is spherical. Coz they can only see in 2d

[@DarthTwilight]

@Wolfreign Valenford Bahaha. Nice one.

[@isaamthalhath4359]

@@DarthTwilight their brains are 1d not 2d

[@Lumanova]

Even 1D doesn't make sense to 0D brains.

[@shayanmoosavi9139]

And their brain is only 1D. Flat brain is a wrong phrase for them because it can also have complex neuron connections. Flat earthers lack that.

[@DarthTwilight]

Dealt with a flat-earther about a month ago. After I bombarded him with math and science, he said, "Just cuz I don't understand none of that science stuff don't mean I'm not a genius!" .....No, that's precisely what that means...

[@alexpearson8481]

This was just sensational. I love the corner perspective towards the end. That was my first glimpse of the geometry symmetry from 2-D to 3-D to 40

[@giin97]

I suspect that, were we to grab a spinning tesseract, we would have 4th dimension rotational inertia imparted to us, pulling us into a different orientation both impossible for us to perceive, and completely horrifying to observers. Is it weird that I want to try it even more now? Lol

[@Dadude12341]

Literally the last 20 minutes of 2001 A Space Odyssey

[@AnEchochet]

Giin I have a feeling some of the mushrooms operate in that plane. They might be able to give you a glimpse. 🤷🏼‍♂️

[@RoboPutinPresidentinCE]

@@AnEchochet bruh

[@ck2458]

That's sounds like the easiest way to move across the w axis that we all live on, if it exists. I never thought about that but if physics holds the same in all dimensions, that sounds correct. Fuck I want to try it too even tho I know I would likely never find our specific 3rd dimensional plane ever again. Fuck, wait. 4th dimensional space implies the existence of innumerous 3rd dimensional planes all simultaneously next to each other. Grabbing a tesseract would pull you through what you would perceive to be an infinite number of realities. Or some kind of 3D space with something or nothing in it. Or maybe it's all just math being impossible math again.

[@haziq_zm]

But that would never happen because when you'd touch the 4D object its impact will only be limited to 3D for 3D objects. Imagine the 2D creature being thrown away by the rapidly expanding circle (the sphere for us). It won't be enough to take him out of the plane as there won't be any force the could be applied to the in the z-axis. Same goes for us, you'd just be thrown away in the same dimensions you are in. I'm sorry to break it to you my friend.

[@abdullahiadedeji2116]

Our "w" address is zero. That's just out of this world. I'm speechless and awed by the accuracy of what you just did there.

[@angelastars27]

Internet

[@emperorpierogi9772]

0w0

[@moosles1357]

@@emperorpierogi9772 i read it that way at first

[@yasyasmarangoz3577]

@@moosles1357 ?

[@moosles1357]

@@yasyasmarangoz3577 a person wrote OWO

[@michelearagona4467]

4th dimension interests me a lot but i struggle even to imagine it. I watched lots of videos but most of them just confused me. These 2 videos thought are so well made and i finally got an idea of this dimension. Great video

[@zainiftekhar]

4D people have 3D mobile screen!??!?!?!?! And also 3D text?!?!?!! :○

[@zainiftekhar]

@@LibraryofAcousticMagic3240○_○

[@Iron-Jupiter]

😐😐😐😐

[@nar3947]

.O.

[@davoodoh3137]

@@LibraryofAcousticMagic3240I think waves could still go through another spatial dimension as it doesn't have any boundaries to what can come in. (If it really does exist)

[@user_hat]

vr in a nutshell

[@hatim9687]

my brain is fried

[@hatim9687]

yeeee thanks it helped a lot

[@recalcitrance2561]

Same omg

[@dreadhead170]

Same here. I just about understood the 1st part, but this is beyond my tiny brain.

[@top10bruhmoments67]

Wait what a brain

[@jncrook5409]

This is actually mindboggling! I've spent about the last 4 years trying to truly comprehend 4D and this video has iced the cake, well done!

[@AlienAnthony]

50 seconds in and he's brought 4D to a level of understanding for 3D beings. We see things in 2D to perceive things from 3D. A 4D creature would see things in 3D to perceive a 4D plane.

[@dylanokeeffe3431]

That's correct - but just remember we have 2 eyes, so there is still some perception of 3D depth there. However it comes more from the difference between the images from each of our eyes rather than a direct observation

[@AlienAnthony]

Well our depth perception is more of a parlor trick from making 2 2D images into giving it depth. A true 3D viewing eyeball would not only see all angles around a object. But it would see everything in our universe down to the atoms that make it up *Theoretically.* because yo have "depth" in a 4D plane you'll need to be able to see 2 3D slices of a 4D object. But that would require the ability to have a sensory organ that can see all of that without existing in the same space as the object or else the object would be floating in your theoretical 3D viewing eye. But I think there was a video that explains 4D light and Sounds so maybe there is a organism that can pick up on that? Who knows.

[@dylanokeeffe3431]

@@AlienAnthony I guess it would be like how a 2D flatlander can only "see" a 1D segment of their world at any point in time. However as observers in a 3D World they cannot perceive, we can see all of their world

[@AlienAnthony]

Precisely

[@raahilshammin7563]

Mind? Blown. Reality? Twisted. Hotel? Trivago.

[@eneflorian4486]

:))

[@fivenightsatlospollosherma5893]

Meme? Dead.

[@likira111]

Sphere? Inside out.

[@defaultyanny861]

Spy_Prototype_96.1.5-B HD this was months ago so I guess he started the meme?

[@fivenightsatlospollosherma5893]

@@defaultyanny861 Its origin started about 2 years ago so it's been quite a while. knowyourmeme.com/memes/trivago-guy

[@geetanjalikamath983]

Superb animations. Geometry was my weak subject in high school (esp conic sections) but this video showed how everything is in fact connected and makes sense whether or not we understand it.

[@thundergreen6288]

It's like my mind can't escape the 3D plane reality even how much hard I try to imagine Even imagination and dreams have limit

[@randomthoughtstheories6681]

well yeah, since we’re ya know, in the 3rd dimension...

[@bobjoshuadonggon6557]

No, imagination does not have a limit, only that you did not have the perception of the 4D.

[@eyoifee468]

Bob Joshua Donggon Imagination is limited to what you perceive. Just like how a born-blind person cannot imagine color, we cannot imagine 4D plane.

[@God_Yeeter]

My imagination and dreams can ascend to the 4th dimension

[@Jaburu]

it's because 4th dimension isn't real

[@RenoSydney]

Definitely the best video on visualizing 4d space! Great work put into your explanations, visualizations, and analogues.

[@Kellognr]

Reno Gregory you are wrong, we live in 4D which add perspective, scientist forget physical items in science of dimensions

[@nicolle6620]

I have been trying to understand the 4th dimension for years. This is the best explanation so far. Respect to the people that developed the computer program 👏🏼👏🏼👏🏼

[@felixroux]

If a small rotation looks like that, imagine how walking around with tons of stuff going on looks.

[@indiumlove]

it would look crazy to us

[@ProdbyMaxim]

@@indiumlove but normal for 4D beings. But how would lets say 1D beings react to like 10D objects?

[@JohnnyTwoFingers]

Kinda like the reality we live in and walk around in?

[@NoTtv420]

dmt

[@austiniscoolduh]

it would looks like the whole universe moving across time

[@Clay5701]

the 4th dimension police are looking for this guy

[@masonmiles3770]

the S dimeson

[@Rome101yoav]

You are such a talented person, the way you conveyed this truly mind-breaking concept just blows me away! Thank you so much for this, after several years trying to get a better understanding of the 4th dimension, only thanks to you I now finally have a clue what it looks and feels like and I grasp the concept. Your 2-d comparison visualizations really made the difference, as well as that cube you opened up entirely. Great job man, you're a helluva teacher!

[@OneTruth42]

I feel like so many new possibilites and realities just got opened up to me

[@raphaellasz3941]

This makes me phisicaly fustrated

[@jdmills123456789]

This is by far the best explanation/ visualization I’ve ever seen for 4D rotation

[@collinstout57]

it is solely beautiful and amazing to be able to barely comprehend this and yet be able to explain this in a simplistic way yet not know its actual nature through our senses except sight through geometry.

[@seupiorfadomundo35]

Yeah, u can. Try some magic mushrooms.

[@KematianGaming]

I think i just understood the 4th Dimension and my mind is blown beyond repair im now at about 10 Min and i can say i dont understand it my mind is still blown tho

[@masonmiles3770]

the NT dinension

[@destree6348]

Same, but I made it to 15 min lol

[@laureliemathe713]

Your explanation and ability to visualize this concept is a work of art beyond reach, thank you

[@lunguandreilaurentiu1324]

the aurora borealis or the northern lights seem to look like 3D representations of 4D objects in our world

[@leonardjames3524]

beautiful observation, I thought I was the only person who tried to imagine shapes behind the patterns the aurora made, your comment made me smile and cheered me up. THANK YOU.

[@Iron-Jupiter]

Hmmm I’m confused now

[@adrakinds]

3 dimensional slices of a hypercurtain in the sky

[@moosles1357]

but its scientifically proven how they work

[@iosefka7774]

@@moosles1357 I know right? I hate when people come away from videos like this and try to explain phenomena which has already been explained.

[@SM26]

I know I'm late to the party, but I wonder how a 4D being would "see" a Klein bottle fill water in/out...

[@wlockuz4467]

Every time you explain 4D to 3D visualization my brain hurts, but when you show the same example in 3D to 2D its like "of course".

[@rainonedavid3564]

Cue me losing brain cells trying to understand the math

[@openize1928]

Actually you're developing connections between the brain cells. You are waking the inactive cells up.

[@cato3016]

Amazing video! Easily the most coherent explanation of 4D geometry I've come across.

[@SaveSoilSaveSoil]

Twenty minutes of my life well spent! Thank you very much!

[@vedantpaliwal]

So basically all magic in Harry Potter was 3d slices of 4d hogwards

[@alihesham8167]

“If harry potter was in real life

[@jackgaulsfitnessvlog4802]

What if Just hear me out. What if That all of our 3d environments and everything we see in 3d are all just shadows being cast by 4d objects

[@redberriez5549]

Vedant Desai Films mine too and I’m definitely not going to sleep tonight

[@Kellognr]

Jack Gaul you are correct

[@CZghost]

Might be. Why not? Assuming there are infinite universes across the 4D space (and higher dimensions, as well), we could only imagine how it would actually go up in the "w" axis, how the outer hyperplanes look like. Our planet Earth may be a slice of higher dimension planet. What if a human being was capable of travelling through "w" axis? Through 4th dimension? How many interesting places could we potentially visit? This topic was discussed so many times, and depicted by number of sci-fi story tellers. By far the best I know, is a little sci-fi story named "Narka", writen by one teacher down in CTU in Prague. It had very cleverly and in very entertaining way depicted (described) how a human being would interact with higher dimension creatures and their worlds. Have you ever imagined a higher dimension plane? I tried so. I was never able to visualise more than 3 dimensions. Human brain is not capable of visualising the higher dimensions, until next generation, new evolution begins. If I take Interstellar, that's quite good example of higher dimension warping of 3D space, depiction of 5D tesseract unfolded through 4th dimension into 3D space. A one cube showing a little room throughout the time line displayed as a dimension, allowing interaction.

[@frostyib3365]

I was also thinking that because we cast a shadow of a 2-dimensional person so what if we are the shadow of the 4th dimension and the 4th dimension is a shadow of the fifth dimension and ....... it continues to infinity

[@Sushobhit333]

fidelity, yes and if these higher dimensions really exist then we probably are.

[@calvinfranklyn5499]

This lesson (and the Part 1) are perfect in their pacing and explanation of this concept, I think. This is the closest I've ever felt to having any notion of 4-D space.

[@davidgalbraith356]

Best representation i have ever seen and you literally just blew my mind I got so unbelievably excited when I saw the random movement of a 4D cube in a 3D plane and chuckled uncontrollably when the cube actually moved out of the planes just as a 3D object would appear to do on a 2D plane holy crap your a legend

[@GamebossUKB]

Been screwing around with this concept for a while now and I understood Dow it worked but couldn't visualize it at all. Somehow this video helped me see a 4 d shape in 4 d space in my mind. VERY trippy subject

[@CesareVesdani]

Can you illustrate in a new video on how to create a level 100 menger sponge and how pieces do you need to create each increasing iteration levels.

[@ChiragChaudhari]

The more I watch the video and the more I think about it, 4D isn't 100% fuzzy anymore! But with my mathematical and dimensional limitations it's still very hard to understand a few things. But I am just glad to even get an understanding of it's existence. Can you possibly explain how a 4D entity can see through a 3D box and what would be their version of a hyperbox?

[@KipIngram]

Well, the 3D box exists only in one "slice" of the 4D world, Use the flatland analogy for this. In flatland, a box is a square. Say we draw a star inside it. Now the flatlanders outside the box can't see the star. But we can see it, sitting right there inside the box. That's how a 4D being would see "right into" a 3D box.

[@KipIngram]

I suppose a 4D entity's "hyperbox" would be a 5D cube, right? All the same math that this video used to "track stuff" in 4D so it knew what was in our 3D slice could be extended to 5D, and we could draw 3D slices of that, too - it would get even weirder.

[@johnmorgan9916]

Is this what a MRI machine does? Allows us to "see" inside our 3 dimensional bodies.

[@Skynet_the_AI]

I am literally Blown away... i always knew since the turn of the millennium or just slighlty after that, that there was is something more to everything around us and life itself. Super fascinating stuff. Thanks to this particular visualization, i can Now can begin connect even more dots to the scope! Thank You.

[@bereskatuket7744]

This was incredible, can't believe i just saw this now...wish he were still active...

[@ezaiez]

Dude, that was mine blowing... I realy do appreciate the effort that you made in this video

[@franz.francisco]

this makes me so nervous, i'm having an existential crisis rn

[@soul02]

This is the best visual and explanation I've seen so far on this. Thank you

[@JValor88]

The logical continuation of this is to interpret more complex 4D figures in 3D space, particularly figures that have different expressions of movement. For instance, what would a 4D humanoid appear as to us, both while stationary and in different varieties of motion?

[@na93r]

wow 😮 this video blew my mind 🤯 the more we learn, the more we realize that our knowledge is just a drop in the ocean.

[@oscarguzman3017]

This was the best explanation of the fourth dimension I've ever seen

[@nightrous3026]

What if god was just a drunk 4th dimensional being and threw a baseball too hard and now we have the universe.

[@veejaytabigne4721]

exactly what im thinking

[@dense-as-blackhole]

The probability of you being stupid is more likely

[@thetimelords911]

To be fair, this is the only scientifically acceptable version of a "god", unless you include simulation theory.

[@thetimelords911]

@Drago While current theory suggests a maximum of 11 or so dimensions, as that's the limit of what we can conceive, we could very well be wrong. There might be infinite dimensions, who knows.

[@mahfoudseraf5995]

@@thetimelords911 God isn't bound by the concept of dimensions he can preceive all existing dimensions at once.

[@Erik31415]

I would like to see you animate how to build a simple block tower in 4D. Gravity is still in one direction, say -z. What directions can it fall over? Also which direction would a river flow in 4D? How to build a bridge over it? Can we use a bridge made of half ellipsoids? How strong is this bridge? Do we need more units of material for a bridge of unit length in higher dimensions? I know how to calculate 4D volumes and centers of mass, and moments of inertia. So I could calculate the amount of materials needed for the proposed bridges. It gets interesting when you try to calculate the strength of these bridges. As an Electrical Engineer I proposed a problem to my peers once about hyper dimensional capacitors and inductors. I would be honored if you tried to solve it. Send me a message if you are interested. In short it is about calculating the equivalent impedance of an n-dimensional integer lattice of complex valued impedances. Never had anyone (myself included) solve it.

[@TheLazyEngineer]

Great ideas. Love it! Send me an email. [e-mail]

[@Erik31415]

Anyone who is interested can find the puzzle as I proposed it here: www.dropbox.com/s/7j2n1mixwehdhpo/Circuits%20puzzle.pdf?dl=0 I would probably rephrase the questions a bit, but I made this a few years ago for a book for a Study Tour to the US which I organised.

[@Kellognr]

Erik W you dumb shit a 4D river would be our rivers here, SINCE WE ARE IN 4D 3D + Perspective = 4D

[@n.itrogen]

Polski ! YOU DUMB

[@Viktaraja]

I think in 4D gravity doesn't exist, or it is different.

[@toliet123]

Such amazing 4D visualization! I thought I learned enough about 4D objects until now. Thanks man! You've earned yourself my like and sub 👍👍

[@cea90]

Proof Flat Landers still exist: Part 1 200k views Part 2 142k views

[@13Gangland]

What does a game in a computer have to do with reality?

[@brysonsirus7747]

PraiseTheAlmightyGod when did he/she mention a game in a computer? I see the comment is edited so that might explain it..

[@nexfur]

"Let's watch KZbin on a 3d screen"

[@TheCrimsonDuckTTV]

would that mean we would be able to interact with what was in the screen?

[@masonmiles3770]

on a 3d screen how is that possibel

[@user-rs1df5gl7e]

@@TheCrimsonDuckTTV maybe holographic images will do. So you cant touch it.

[@timacann]

This has been the best explanation I’ve found so far. Thank you so much. Fascinating.

[@Warrenaterz]

_Suddenly started to question whether all of the planets and stars in the universe are just points where 4D hypercones are intersecting our 3D space..._

[@karthiks7843]

dude, you blew my mind !! thanks for sharing

[@schurch1569]

Wait... if we had access to the 4th dimension, we could pretty easily make holograms, since wed only need a 4d plain to show 3d objects

[@legendgames128]

r/boneappletea

[@paisita8520]

Yeah, since you can find a 4d plain in the store around the corner.

[@schurch1569]

SnT im sorry im from switzerland isnt that normal in your country too?!

[@paisita8520]

@@schurch1569 Totally man, I'm from Colombia and they give me a joint with the plain (The joint its a 4d object too).

[@seupiorfadomundo35]

@@paisita8520 true. I'm from Brazil and I got some mushrooms that allow us to see interdimensional creatures. But we can't move in the W axis, except during the trip... :(

[@stevewhitt9109]

This is the VERY BEST animation of 4D hypersphere visualized in 3D on youtube. Great Job!

[@user-dq9nx7ut3c]

would there be parrallel universe that everything is the 4th dimension or 5th dimension or would we be able to break the universe and travel thru the parrallel universe and study about the dimendion?

[@ianbyers1440]

Thank you! I now have a foundation to help visualize the fourth dimension. Well done 👍🏽

[@davidsapir9638]

I watch this video at least once a month, it's so well done and insanely thought provoking. And the atmospheric soundtrack is perfect.

[@ChillTox]

So this man is telling me 4D is just Minecraft’s farlands?

[@samsungalaxyxd1823]

*farlands in old versions (before 1.9 i think)

[@skpuneethkumar]

Wow That was something Previously I watched 3blue1browns video on " a trick to visualising higher dimensions " . This video perhaps, the first I have watched on this channel, pretty much concretised my those ideas. Damn. It also thought me why cross-sections are so important cos I've been ignoring them since 11th. Wow thanks to Mr.Narrator and Grant Sanderson Y'all just brought the high dimensional geometry down a few bogglees down the boggle scale. THANKS

[@Kellognr]

S.K.PUNEETH KUMAR... fuk you

[@robel9tail]

If a 4d creatures sees us, they see everything. Every atom is laid out side by side, easily understood. Not only us, but earth, and the sun, somehow all laid flat and their mechanisms clear as day. We can view the whole of a square, where nothing is hidden, so they can with a cube. That’s a cool implication of a tesseract having cube sides. Crazily enough, if our 3d space is curved in the 4th dimension in a particular way. There may be things we can see in our little 3d slice that they can’t. Made a poem about it!

[@averybell4273]

This is best explanation I have found for this.

[@mae_lia]

does this mean that people watching youtube in the 4th dimension are watching 3d videos, made of actual voxels

[@solarmaster3405]

Yes, Assuming 4D KZbin is even a thing.

[@KipIngram]

Yes, I think so, but it wouldn't be a 3D image similar to our world - it would be a "perspective projection" of 4D into 3D, which I think would be quite different. Just like how our 2D images aren't "slices of our 3D world," but rather are line of sight bits of many different slices.

[@winfredtai7544]

yes, but it's called youhypertube.

[@BangMaster96]

+The Glitchy Hand Imagine playing video games in the 4th dimension

[@MrVercetti202]

So this explains ghost sightings in the form of a shadow or a mist that appear from no where and keeps getting bigger and then smaller until it disappears, they're just 4th dimension creatures

[@richardferreday]

Best 4D representation video I've ever seen by far!! This really helped me so much, thank you for making it! I especially gained a lot of incite from the red wire frame stuff you did and the graph of how the hypercone looked at different points. I'd love to see all the 'platonic hypersolids' (?) represented in the same way... you've done the hypercube already of course, but I'm fascinated by the 24-cell and how it has 1152 lines of symmetry apparently, but also the 5-cell. I also enjoy the idea that there are emergent properties of objects that are higher dimensional that have no analogues in our dimension. (Like what you said about in 4D two orthogonal rotations can be done simultaneously or something?) It would be amazing to hear more little quirks like that. Because I bet there's loads.

[@Kellognr]

richardferreday fuk you all

[@bennemann]

insight, not incite. To incite is to provoke into action.

[@stuartslaugh2722]

@@Kellognr Not surprising that you can't even spell a curse word. Why did you even bother learning to read?

[@Globetrotter_Anirban]

Thank you for the video. I have no mathematics background but I came up with this entire 4D world and 3D projection idea myself just sitting in my patio one day. When I tried to explain my idea to my family and friends, they just laughed, not sure whether it was because they didn't understand or just didn't listen because I don't have any credential. I have been searching for a good video ever since (not for me but to show them) and now this video explains everything in a very simple manner and when I showed it to my wife she understood and appreciated. Now I get to show off that I came up with all these (and some more) just in one afternoon idling in my patio with a cup of coffee :) and a little disappointed knowing everybody knows this stuff already :(

[@vanillacokejunky]

I've struggled with this topic for a long time. I've heard the Flatland story 100 times already but always had trouble making the leap to the next step. Seeing the visuals on screen is really helpful for me to understand better. Thank you for making this.

[@TheLazyEngineer]

My professor used to tell me that only people who grew up during the 70's can picture the fourth dimension. Is he right?!

[@TheLazyEngineer]

+flip dp yes I want to continue this series as long as possible. Haven't decided the topic for the next video yet!

[@TheLazyEngineer]

+Pocketenderman [SGCS] they see lines. Watch Part 1. I mention it there.

[@Kochira]

Then, 1 dimensional beings see points?

[@IcaroCamposdeAPinto]

1D see points, 2D see lines, 3D see shapes and 4D see objects.

[@IcaroCamposdeAPinto]

We always see 1 dimension less we have.

[@teemo8247]

When i first watched a "4d toys" videos, the objects were just dissapearing, and i thought "What kind of random shit is this?" But now i actually UNDERSTAND how they are dissapearing, now I know that they werent random at all! Plz make more videos

[@Kellognr]

Teemo you dumb idiot it’s because any dimension above the pervious dimension we can not see and we are in 4D

[@n.itrogen]

Polski ! YOU DUMB

[@thelazerproject]

Polski ! Lol what you talking about he said that he did finally understand it

[@Buttergirla]

This one took about 2 or 3 times of watching but I got it now. Beautiful video.

[@niromax7328]

Very well explained, this is what I have been looking for

[@oenwilson2486]

Imagine being a 2D creature calling spheres a hypercircle

[@Hyrixous]

Underrated

[@RandomChannel982]

Imagine being a 3D creature calling a tesseract a "Hypercube"

[@aadhi1269]

so basically the study of the 4th dimension leads to the study of the concept of teleportation!! We are getting closer people to the next future!!

[@justinjensen1009]

This is great! What software did you use to create the 4D animations?

[@Kellognr]

Justin Jensen videos are 3D and we are 4D

[@Sushobhit333]

MS paint 4D

[@leosmi1]

@@Sushobhit333 lmao

[@leosmi1]

The question is not wich aoftware did he use...but, how he created the projections algorithms

[@taureon_]

@@leosmi1 you mean @L mao