Perfect Shapes in Higher Dimensions - Numberphile

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Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions.
More links & stuff in full description below ↓↓↓
Extra footage (Hypernom): • Eating 4D Polytopes (H...
More videos with with Carlo: bit.ly/carlo_videos
Edit and animation by Pete McPartlan
Pete used Stella4D --- www.software3d.com
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22 мар 2016

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Комментарии : 8 тыс.

@000netko 3 года назад

"You can basically figure it out yourself" -Carlo Sequin on 5 dimensional polytopes Nobody has ever believed in me as much as this guy

@andonandonov7793 3 года назад

@mishikomishiko9088 3 года назад

LOL

@thankor 3 года назад

Haaaahaaa

@mopsbackupaccount5128 3 года назад

Same

@theatrefirefly 3 года назад

Most underrated comment on all of youtube for all of time. thank you.

@chronovac 5 лет назад

When I watch these videos, i simultaneously feel both smarter and dumber

@Alex_Hernandez999 5 лет назад

That's how being smart feels

@powerinknowledge2392 5 лет назад

That's called learning, first you dont know what you dont know, then you know what you dont know, then you know

@atryan1125 5 лет назад

I just feel dumber

@RedGallardo 4 года назад

The more you know the more unknown you're able to see around you. There's a parable about that.

@JonCombo 4 года назад

@@alicec1533 Forth Dementia.

@minie7950 3 года назад

“this is a icosahedron” me who plays dnd: ah yes, a d20

@GregtheGrey6969 3 года назад

No mention of the 10 sider for some reason...the forgotten solid.

@jacoblynch8844 3 года назад

Sides aren’t regular polygons :(

@theprodigal72 2 года назад

@@jacoblynch8844 *polyhedra

@realmless4193 2 года назад

@@jacoblynch8844 they actually can be, the problem is that the vertices aren't the same.

@Thiago-ck5iu 2 года назад

@@theprodigal72 polygons*

@nikdoesstuff9338 3 года назад

Ah yes those famous rpg dice... The d4, the d6, the d8, the d10, the d20, and the dTEAPOT

@lukiepoole9254 2 года назад

Not d12?

@daveslamjam 2 года назад

the deapot

@MorningLightMtn 7 лет назад

Somewhere in 4D space, there are 4D idiots like us gawking at 4D mathematicians trying to imagine common 4D shapes crunched into unimaginable 5D hypershapes

@threewagthepenguin9869 7 лет назад

And so on lol...

@MuzikBike 7 лет назад

and are confused at how 3D biology could even exist.

@neildhan 7 лет назад

Have any of you ever read Flatland by Edwin A. Abbott. I admit, to my shame, that I never finished it. Nonetheless, I think you might find it very interesting given these comments.

@TruKave 7 лет назад

NusXrrnak Somewhere in 1d space, 1d scientists are wondering how they even exist.

@Misterlegoboy 7 лет назад

somewhere in 0D space, there is a very small speck doing nothing.

@MarkOates2 6 лет назад

This guy has the perfect accent for the word tetrahedron

@nanu4144 5 лет назад

if you know how to roll your r's then you can also say it like him

@guitargeorge1874 5 лет назад

I like his pronunciation on the word square. "Sqvare" :)

@wtfduud 5 лет назад

It's like a german-scottish mix.

@EdoTimmermans 5 лет назад

According to Google Translate icodahedron is pronounced as i-co-sa-hee-dron. I just had to check this after hearing him say ee-co-sa-hee-dron.

@protonix07gaming8 5 лет назад

Tetraheedraun!!

@Rune3D 3 года назад

As a 3D artist, I actually find this very interesting. That was a fun bit about the Utah Teapot! It comes with every single 3D graphics software known, and I see it all the time, but I actually never knew it had a name!

@user-gr6he3hg1u Год назад

JEWS!!!!!

@snailcheeseyt 10 месяцев назад

@@user-gr6he3hg1u??

@spirit_x64 5 месяцев назад

It's actually one of the oldest memes in the computer feld. And it still funny to think about 💀

@mortal19901001 3 года назад

Keep re-watching this over and over again, his explanation is so simple yet so elegant. Sad I never got to meet him in person, he must have been a very interesting person to talk to about the World and everything surrounding us

@rurihime4965 2 года назад

You made me think he died or something

@gamemeister27 2 года назад

He's still kicking. 79 years old!

@ekkekrosing8454 2 года назад

@@rurihime4965 same

@garnet1918 Год назад

Confirmed still alive!

@PC_Simo Год назад

@@rurihime4965 My thoughts, exactly 😨.

@johnathonwaymire9483 3 года назад

I feel like my brain gets so close to imagining higher dimensions before breaking completely.

@johnsaylor1583 3 года назад

Mine doesn't

@aliensasquatch7485 3 года назад

@@johnsaylor1583 ok.

@johnsaylor1583 3 года назад

@@aliensasquatch7485 I don't remember commenting that. But, mine does as well. I can't fathom anything beyond the box I live in.

@jobtenbosch349 3 года назад

@@johnsaylor1583 or maybe you could, but then your mind broke completely and now you don't remember.

@the0master200 2 года назад

Me too. I am like "yes, yes, i got it, I can imagine it, I can see it, nope. I am just too 3d for all of this."

@shpongle7322 4 года назад

The fact that he can visualize this and explain it so clearly really shows how abstract this man can contemplate. So difficult to do

@freddybenelli9100 4 года назад

Is this clear to you? 😂

@albertorivas6339 4 года назад

Remenber Nikola Tesla? Read about him.....

@lilfr4nkie 4 года назад

alberto rivas I’ve not heard Tesla touch on higher dimensions, can you give me a theory of his you have in mind?

@shpongle7322 4 года назад

alberto rivas I have several books about Tesla.. what makes you think I haven’t heard or read about him lol. So random

@azap12 3 года назад

@@shpongle7322 just another 4d mysticism delusional dude hahaha

@scptime1188 2 года назад

Mathematicians: there are 5 regular polygons in 3d space jan Misali: 48, take it or leave it.

@Peztllence 2 года назад

jan Misali It's a toki pona thing where only names are capitalized

@JonathanMandrake 2 года назад

To be fair, the difference is the definition: Jan misali also accepts polygons that aren't strictly convex, which allows for self intersection, planar tiling and the other things he shows, but if you were to actually define it, most mathematicians would probably restruct them to be strictly convex, and call the other ones semi-polygons or something like that. They're still interesting, but also different. It's actually quite similar to how some people say 0 is prime, while most mathematicians define primes as natural numbers (excluding the 0, should it be considered a natural number in this system), and 0 acts quite different than the other primes

@zackbuildit88 Год назад

@@JonathanMandrake it’s not Jan Misali, it’s jan Misali, “jan” is just the toki pona word for person, it’s not his actual first name

@beetlegob Год назад

@@zackbuildit88 Misali would be proud (maybe)

@zackbuildit88 Год назад

@@JonathanMandrake also, just saying, most mathematicians studying these shapes actually do allow non strictly convex solids, hence their early inclusion in the video

@damienboykin7772 3 года назад

The 6D Hypercube structure really looks like a Metatron Cube. And the 5D polytope, when he tilted it at an angle, made pentagrams with the negative space.

@kyoai 7 лет назад

That guy has an amazing voice/accent mix.

@ianedmonds9191 7 лет назад

He's a good lecturer. It's his job to hold your attention.

@highlewelt9471 7 лет назад

I always wonder what accent it could be

@jarryda 7 лет назад

I thought it was some kind of Scottish, but apparently he's from Switzerland.

@PooperScooperTrooper 7 лет назад

Sample it, loop it, fuck it.

@RAL_III 7 лет назад

Go Switzerland! It is the best country!!!

@wariouswarious9364 5 лет назад

Meanwhile in a higher dimension: "Mom, can you buy me some real toys... I'm tired of playing with these Rhombic Triacontahedrons"

@tomasmieger6826 5 лет назад

Oh kid. Just play ball, it rolls in any dimension.

@Dexuz 5 лет назад

@@tomasmieger6826 "MOM, everytime I try to roll this 3D ball it just falls over :c"

@willardaustria 4 года назад

@@Dexuz Underrated comment!

@christopherochoa4145 4 года назад

"The fun will never end, it's Adventure Time!"

@_skzstay1264 4 года назад

Mom: sure son, do you like a triangle or a cube?

@evank3718 3 года назад

Props to the animator the visuals in this were amazing

@ColinBache 3 года назад

Awesome video!! I’ve been searching for ages for an answer to why there are only 5 Platonic solids in 3 dimensions. Not only is this the first explanation that I find instantly intuitive and concise, it’s also demonstrated beautifully. The extension into the higher dimensions and reference to fewer dimensions is also a wonderful way to contextualise the whole concept of perfect solids. Thanks so much! 🙏❤️

@lilmarionscorner 8 месяцев назад

❌❌ ❌❌ ❌❌ ❌ FloorFloorFloorFloor It fell.

@Abdega 6 лет назад

*[SCREAMS GEOMETRICALLY]*

@ksp-crafter5907 5 лет назад

Ramiel ;)

@tiagobelo4965 5 лет назад

radbarij nice

@squareheart7077 5 лет назад

Like when liquid metal goes down Neo's throat.

@HolahkuTaigiTWFormosanDiplomat 5 лет назад

um..

@tear728 5 лет назад

ERASE MEEEE!

@cashbag 4 года назад

Trying to understand 4D in a 3D world through a 2D screen.

@legokenobi1185 4 года назад

With a 1D time line

@haellm9192 4 года назад

@@legokenobi1185 time is actually 4th dimensional structure

@harold9924 4 года назад

@@legokenobi1185 And I'm having a 0D thought about how arrogant you are. Edit edit edit: THE INSULT WAS MENT FOR THE GUY RIGHT ABOVE ME SORRY TROLLI I LIKE YOUR COMMENT

@casualipcroboticist6336 4 года назад

trolli gettin' roasted into inexistance

@natedecoco615 4 года назад

@@legokenobi1185 time isnt 1d

@toma_1225 Год назад

Making a 3D out of a 5D shape means that you are taking the shadow of the shadow of that 5D shape 🤯

@derekhasabrain 2 года назад

It was so satisfying that I was able to understand some semblance of 4D space when he was describing why the "smaller cube" isn't inside the "bigger cube", because in 4D all of the edges and faces would be exactly the same, but the perspective and warping of them as a projection would make it look like this

@odinseikatsu4952 5 лет назад

Trying to picture 4D is kinda like trying to play a movie in a music player

@brysonsirus7747 4 года назад

More like getting a calculator to say 2+2=5. It’s not really hard, it’s just impossible. :3

@brysonsirus7747 4 года назад

Although getting a movie to play in a music player is also impossible so what am I saying?

@xxCrimsonSpiritxx 4 года назад

you can run the audio only though, that's like projecting 4D in 3D sim

@IndigoGollum 4 года назад

@@xxCrimsonSpiritxx So if I put a Doctor Who dvd on my cd player it would just play the audio? That's kinda cool.

@loller7 4 года назад

It's possible to see images in audio spectogram :p

@logicplague2077 5 лет назад

I bet your 3D printer would literally cry if it could lol.

@misanthropicisolation4013 5 лет назад

As opposed to figuratively?

@nicholasmolberg1043 5 лет назад

He's granted his 3d printer eyes.

@AnymMusic 5 лет назад

New torture test

@itsmeminime7958 5 лет назад

ΔISEPTICONS 4 EVER AHAHHAHAH

@UwU-wl4ep 5 лет назад

He can Print tears

@AdlerMow 2 года назад

He is a mix of Carl Seagan and Admiral Picard, and his coolness factor a multiplication of both taken to the cube.

@drustanastrophel9538 3 года назад

The hyper cube alone made my head hurt, by the time he reached the 600-cell I felt my brain trying to burst out of the top of my skull

@phuturephunk 7 лет назад

I really wish, if only for a moment, I could actually experience perceptive awareness of an additional spatial dimension.

@chrislynch6545 7 лет назад

Perhaps one day we will have this opportunity. You could conceivably teach yourself to conceptualize in four dimensions if you provided your brain with 4-d input. You'd need a computer wired directly into your brain. Computers have no trouble with higher-dimension geometry.

@martingrof1685 7 лет назад

***** who?

@indiangrimreaper8247 7 лет назад

phuturephunk me too... but we could always try weed 😅😅😅

@tonykostov928 7 лет назад

actualy we do but we don't realise it and we can't feel it

@ThePedroEtc 7 лет назад

That's how crazy people are made

@Jack.Strait 5 лет назад

The idea of 1D honestly scares me more than 4D

@SalveSandWonk 5 лет назад

JackStrait *scares in 0D*

@mauz791 5 лет назад

@@SalveSandWonk *screams on *point**

@SoluKissin 5 лет назад

The band or the dimension?

@Jack.Strait 5 лет назад

@@SoluKissin The band obviously

@BrettChungus 5 лет назад

Thanks for that horrifying vision. This video contextualized that statement.

@SK-vk9jf 2 года назад

14:08 is the projection that somehow really clicked with me. I felt like I "see" this and that was a huge moment of joy.

@_charademon_ 3 года назад

This video: exists Me, an anime watcher: RAMIEL

@mamalogon 2 года назад

I was just looking for this comment.

@GDSCLag 2 года назад

@@mamalogon lol same

@wandererinthedust276 8 лет назад

At first I was all, "OMG! PRETTY SHAPES!" but then I was like, "What even is life?"

@raiden490 8 лет назад

lool

@Angloth 8 лет назад

+Wanderer in the Dust LSD

@jeroenconinx6121 8 лет назад

LSD is the best

@kozhikkaalan 7 лет назад

hahahahahahh. love your comment

@victorsousa7239 7 лет назад

@koalawithchaingun53 6 лет назад

Watching 4D objects represented in 3D projections on a 2D screen.... seems legit

@some1112 5 лет назад

With our 1D brain

@garysutherland7004 5 лет назад

@@some1112 You don't perceive the world with only your brain. Logic is one dimension you can use to observe what you perceive with the five senses. That is perceiving with six dimensions.

@pralayhait7276 5 лет назад

and also with eyes which can only see 2d on their own

@dylanburfoot1262 5 лет назад

@Gary Sutherland r/Whooosh

@DandiLionism 5 лет назад

OBVIOUSLY our imagination is bigger than our eyes

@feraskiki655 3 года назад

" Could you show to a NON-mathematician in an intuitive way." That is the right approach...

@dream__soda7900 Год назад

4d space must look terrifyingly awesome.

@tone618 Год назад

trust me its beyond anything you can comprehend

@tone618 Год назад

litteraly

@666thecreature Год назад

@@tone618 have you been there?

@guptahaha 11 месяцев назад

@@tone618 you sound so definitive, have you been there?

@invzmk 3 месяца назад

hes been there and so have you

@seantobin5235 8 лет назад

do a video on the Utah teapot

@omfgmouse 8 лет назад

+Sean Tobin yes, please!

@ximenabriones5040 8 лет назад

Yes!

@rich1051414 8 лет назад

+Sean Tobin I think the '6th platonic solid' is only a honorary title. It does not actually earn it. Its just extremely common. Its like the 'hello world' model of 3d rendering engines.

@frostcrackle2374 8 лет назад

+Sean Tobin your body is ready for it, isn't it

@eschelon9067 8 лет назад

+Sean Tobin Yes, please do.

@Zichfried 3 года назад

And this is why they shouldn't call "4D movies" the 4D movies. Excellent video. Thank you!

@colelevel2654 3 года назад

Ye legit wtf

@ez_is_bloo 3 года назад

Nahh.. Dimensions could mean multiple things. And 4D movies add another dimension to the watching experience. Our universe itself is 4D because it also has 1 temporal TIME dimension.

@A.Mayflower127 3 года назад

@@ez_is_bloo so all movies are 4D then...

@lou7319 3 года назад

Movies depict 3d images on a 2d screen. The moment a third dimension is involved in displaying the movie, in the movie's universe this is 4d. (There is no screen protruding out of the screen but visually it appears that way so I do consider that an extra dimension in presentation)

@seandaly2211 3 года назад

@@A.Mayflower127 not necessarily. All "3D" movies are technically 4D, but 2D movies are only 3D because its 2 dimensions of space plus one dimension of time

@braydenfrederick7879 2 года назад

His accent mixed with talking math stuff is quite a soothing experience tbh

@TM-wn6fj 2 года назад

I think of the measure polytope duals to be the "bipyramid" series. The line bipyramid is the square, then the square bipyramid is the octahedron, then the octahedral bipyramid is the 16 cell, and so on.

@r0b0tiks 5 лет назад

People in 4D space are writing down notes in 3D

@neymarjr4566 5 лет назад

Le funny 😜

@tea5316 4 года назад

love it lol reminds me of a movie

@Soilad 4 года назад

And people in 2D are writing in 1d

@electro-magnetik528 4 года назад

Which movie..??

@saharshbehal8766 4 года назад

can't imagine that though

@tijmenvanderree487 8 лет назад

I understand some of these words.

@milo1685 8 лет назад

loool

@victorotene 8 лет назад

Then you're doing well.

@kawaiipotatoes2951 8 лет назад

I understood what cube meant

@enderman6777 7 лет назад

Then why use it?

@Samstar369 7 лет назад

That's the joke.

@emmanuelgiouvanopoulos8273 11 месяцев назад

This man is, honestly, a very cool guy. He knows and loves his shapes (polytopes) in 2d, 3d and higher dimensions. He was a cool collection of them, and his relation with them is VERY wholesome.

@loquacity4765 2 года назад

Thank you very much, Numberphile and Carlo Sequin. I have always struggled with this level of mathematics beyond "you can't imagine a 4D shape" so I was astonished to find myself grasping the concepts (with some rewinding). Sequin's style is intuitive and captivating and I can't believe that I now have not only a page of notes, as if I were at school again, but an appreciation of the beauty and mystery of these forms. You've made my day!

@BulletTheEnforcer 4 года назад

This gentleman has managed to engender two emotions within me simultaneously: feelings of absolute childlike wonder and confusion. Interestingly enough, even though I was lost at times, I still felt that what he presented in this video is learnable and, thus, possible to understand. I enjoyed myself immensely.

@phillipchavez1321 3 года назад

Wow, same

@MegazoneMusic23 3 года назад

I certainly did as well. Ive always been fascinated with these topics of dimensions. And I even chuckled when he mentioned its a great toy for kids! 23:10

@D4narchy 3 года назад

I like how he corrected the "so they're like evil twins" to "they're more like nice twins actually!" like he loves these shapes.

@pietrufarrugia9617 3 года назад

@@D4narchy his wonder is beautiful

@betteryou7hanme 3 года назад

But we can also perceive all 3 of the physical dimensions of our reality, which can only be achieved by observing from at least one dimension higher. Can't see a point unless you're beside it. Can't view a line unless you are behind it. Can only view 2d shapes, by hovering above them. Where does our consciousness reside?

@SyphistPrime 6 лет назад

Also fun idea to think about, in 4D space all shadows would be 3D if you had 4D lighting. Try to wrap your head around that.

@Orakwan 6 лет назад

nice one

@IamKingofInternet 5 лет назад

So are we just shadows of 4d beings? And are they shadows of 5d beings? What is the shadow of an infinite dimension being?

@semi-mojo 5 лет назад

Imagine watching TV in the 4d universe

@Nejvyn 5 лет назад

Well, you actually do. You live in a 3D space and travel through time, so you move through four dimensions. A TV screen in this very 4d universe has two dimensions in space plus the passage of time, making it 3d. So an actual 2d TV could look like a moving line (1 dimension in space and 1 in time) or like a picture (2 dimensions in space, but no in time).

@avigindratt7608 5 лет назад

And what would 4d light look like? It would still be pure energy. One photon of that light would be, what, like infinitely more energetic than a photon in 3 dimensions, am I right? Insane.

@toddmiller6232 Год назад

I just did a project on 4-dimensional regular polytopes, and there are actually 19 of them (that I could find). These include the regular star 4-polytopes and the 4D honeycombs. Additionally, there are definitely more than three regular polytopes in dimensions higher than the fourth, due to the existence of hypercube honeycombs. So that makes at least four. Whether the star polytopes are applicable to the fifth, sixth, etc. dimensions I'm not sure of. Some sources say no. In the end, this just comes down to how we define a regular polytope. This video makes the assumption that regular polytopes are convex, finite, do not have any holes, aren't self-intersecting, etc. Without these assumptions, more becomes possible. :)

@AlexisTwoLastNames 3 года назад

this channel is making me realize i want to study this kind of conceptual math along with financial math and quantitative analysis

@zyaicob 2 года назад

Go for it, Jane Street awaits

@sunriseavefan98 5 лет назад

The fact that three dimensional beings can even figure out the properties of four dimensional objects amazes me.

@RJavier007 5 лет назад

You are sick

@cjlwhite1 5 лет назад

@@RJavier007 what.

@michaelnortheast394 5 лет назад

@@RJavier007 I am wondering what warranted that response...

@RJavier007 5 лет назад

@@michaelnortheast394 he refers to people as beings as if he was not a human himself

@jacoblittmann2807 5 лет назад

Or can they?

@theRealPlaidRabbit 8 лет назад

I love the Platonic solids, but only as a friend.

@burpie3258 8 лет назад

+theRealPlaidRabbit that's offensive, yo.

@theRealPlaidRabbit 8 лет назад

+burpie Love can be between one rabbit and a bunch of polytopes. Even if it's not that kind.

@burpie3258 8 лет назад

theRealPlaidRabbit Can it also be between a rabbit and... a polar bear? :-D

@theRealPlaidRabbit 8 лет назад

burpie A snowshoe hare-- until the bear gets hungry! :)

@perirana1078 8 лет назад

+theRealPlaidRabbit Platonic Solids can be renamed the "Friendzoned" Solids... XD

@cathie_486 Год назад

i managed to have a visualization of 4d space through the eyes of 3d, which is that in 4d we add a new axis and that new axis makes it so when you look at 3d cubes being attached, in 4d there's a new axis, which makes the cubes not entirely attached, which is how we can fold it, because of the new axis creating more space

@masterspark9880 3 года назад

There’s this toy I have that would really help this guy explain polyhedra. It’s a bunch of equilateral triangles and squares with the same side lengths, and every side has a magnet so you can stick them together to make 3D shapes

@AlanKey86 8 лет назад

The diagrams, the colours, the animations are all just wonderful! 5 stars! or should that be "5 Platonic Solids!"

@pmcpartlan 8 лет назад

+AlanKey86 Thanks Alan, was that your lovely twinkly stuff over the polyhedra?

@AlanKey86 8 лет назад

+Pete McPartlan It was indeed :)

@pmcpartlan 8 лет назад

+AlanKey86 5 Stellated Polyhedra.

@adrianhaus 8 лет назад

+AlanKey86 5 Thumbs up

@__Bruh 5 лет назад

@AlanKey86 - there would only be four stars in three dimensions - the stellar dodekahedron, great dodekahedron, great stellar dodekahedron, and great icosahedron.

@bibasik7 6 лет назад

Don't be ashamed of yourself if you're confused. It took Super Mario 11 years to figure out 3D.

@xRyann_ 5 лет назад

Really underrated comment.

@NickLM2008 5 лет назад

*N I C E*

@SineEyed 5 лет назад

Yeah but 11 years our time is only like 35 minutes 4D time, so...

@donovanmahan2901 5 лет назад

When Mario dies in the 3d world, does he jump out in a 4th dimension?

@jfern6673 5 лет назад

Bibasik another dipshit comment, searching for praise while providing stupidity without intelligence..

@BIG.pisquared 3 года назад

What a wonderful explanation! Thank you for helping us to learn something that is so fascinating in such a fun way. Professor, this has been a true delight!

@skullmastergamer 3 года назад

6:17 That honestly looks really cool

@patwalsh9360 5 лет назад

I have my unit 3 and 4 English and Psychology exams tomorrow but this is far more important

@alejrandom6592 5 лет назад

How was it

@alejrandom6592 5 лет назад

I need to know you can't leave half of a story

@justinmolanick7989 5 лет назад

It's your life dude and your money

@alejrandom6592 5 лет назад

Anserw

@patwalsh9360 5 лет назад

yo sorry dude. went well 👍🏼 will be getting into uni!

@mg222. 7 лет назад

They need to start giving these higher dimensional polytropes more creative names like Maximum Overdrive Ultra Hyper Cube because you can never have too many epic adjectives

@matshbocks 6 лет назад

MG222 super mega Omni ultra nega pneumono hyper alternative meta ultra polyvoxel

@alexc4924 6 лет назад

I'm sure they'll end up named like the radio frequency bands. point: ultra low cube line: very low cube square: low cube cube: medium cube tesseract: high cube 5d hypercube: very high cube 6d hypercube: ultra high cube 7d hypercube: super high cube 8d hypercube: extremely high cube 9d hypercube: tremendously high cube 10d hypercube: light cube 11d hypercube: ridiculous cube 12d hypercube: ludicrous cube

@loveless8241 6 лет назад

MG222 Super Kami Isocahedron

@hydrathermal9030 6 лет назад

Not when I shift into MAXIMUM OVERDRIVE

@flyingspacebrainedidiot 5 лет назад

Erm... That would be incredibly weird.

@jhosp89 3 года назад

11:50. The fact the yellow cube is not actually inside the blue cube as it would appear and is also in fact the same size as the blue cube but just appears to be smaller due to our perception as he said is just amazing and mind boggling! I wish we could find a way to visualize the 4th dimension in its entirety! I try so so hard to see it in my mind which I know you can't but I'm so fascinated by it I have to try.

@patrickogier7419 10 месяцев назад

If the fourth dimension is time, then the movement of the cube from one position to the other as your perception changes due to the movement would explain it. The time that it takes to move is actually the fourth dimension.

@vivianwilfred1768 3 года назад

Even though I could only understand some parts of the explanation, the explanation was amazing for someone with such less knowledge on higher dimensions. If you can do more videos on higher dimensions on how to comprehend them, it would be great.

@siddiqislam4035 5 лет назад

mathematicians: there are only five platonic solids utah teapot: 😤😤😤😤😤

@TheLegend-jp1vg 5 лет назад

@Jason Lee Its not just pissed its steaming

@eldnahym 4 года назад

The Legend27 name checks out

@BrutusAlbion 4 года назад

@@eldnahym it's actually a freesian teapot but whateffs

@harrisonsimmons5256 4 года назад

😂😂😂

@deouro 4 года назад

utah teapot: hold me tea...

@EllieVaricuber 7 лет назад

I have no idea what this man is talking about, but it's damn cool!

@RoaringTRex 7 лет назад

Lol!

@izaakfewton7536 7 лет назад

Lol. I love you mate! :)

@EllieVaricuber 7 лет назад

Love u 2

@flinchfu 7 лет назад

El Milto I'm pretending to understand it... ow my brain.

@RtsShrtFrRtthw 7 лет назад

Flinch Fu same!

@AntoanetaDD 3 года назад

Never had it better and clearer explained... an amazing way about it, dear professor... Truly thankful I am for such a smooth transition from 2D to 3D, 4D, ..., into infinity... and perhaps further...???

@sharvilpatel1651 2 года назад

I always require '"the string theory"' to understand higher dimensions. And you are more genius. 🤗🤗

@williamaleman5460 5 лет назад

So far I am just enjoying the shapes.

@Alwis-Haph-Rytte 5 лет назад

Yeah because the rest is just imaginary mathematical BS to make themselves feel smart. Sure it's math theory, but since it's outside what we/they can see, feel, experience in a 3D world, it's speculation on mathematical theory. But the shapes are unique.

@brysonsirus7747 4 года назад

Mr Rytte Excuse me..what exactly are you saying? “to make themselves FEEL smart?” That is just a doosh thing to say..

@davidmurvai40 4 года назад

Enjoying the shapes... That's something I do on pornhub XD

@Proxyincognito 8 лет назад

My brain shut down at 18:27 and everything lost its semantic value.

@theodoros_1234 8 лет назад

+Gazeth Sonica RIP

@yoruneko34 8 лет назад

Same

@Jossandoval 8 лет назад

+Gazeth Sonica Hehehe semantics :drooolz: I haz losst it.

@kunstderfugue 8 лет назад

+Gazeth Sonica defintely takes some practice to keep up with the more abstract topics in mathematics

@Proxyincognito 8 лет назад

Energy Core Very true, but thats also what makes it so much fun xD

@THC800 3 года назад

That Rhombic Triaconthahedron (22:58) is a mind blowing 6D shape. It has cubes as its faces!

@PC_Simo Год назад

Yes; and tesseracts (4D-hypercubes), as its cells, and penteracts (5D-hypercubes), as its hypercells. However; the Rhombic Triacontahedron is only the convex hull of that particular projection, not the object, itself (Rhombic Triacontahedron is actually a 3D-object, as is evident from the suffix: ”-hedron”); the real deal is a 6D-hypercube.

@RooiGevaar19 3 года назад

I love the way he pronounces "tetraheedrron" and "sqvares". And overall films with him are marvellous

@CheeseTruffles 6 лет назад

who else felt extremely satisfied watching the animations

@Ioganstone 6 лет назад

Hark! Indeed. The motion feature segmentation of this piece was rather the most symbolic yet inert, inscrutably binomial for one to grasp.

@jktube5143 6 лет назад

@tenletters5889 7 лет назад

4d liquid would be the trippiest thing imaginable

@nyanates 3 года назад

This is the best demonstration of Platonic solids I’ve seen yet.

@stromboli183 3 года назад

This channel is pure gold.

@MaRiahhTurnerPoliticalMakeup 4 года назад

6:56 man im so used to these crazy seamless segueways nowadays i almost thought mans was gonna try to sell me a tea pot

@the_phoe 6 лет назад

I like the question the young guy asks, he's smart enough to make these kind of interviews actually interesting

@Alexisasful 5 лет назад

Or maybe the questions are pre-scripted?

@r_____________________ 5 лет назад

I think the questions are scripted.

@Eicee-yg6jh 5 лет назад

Well... He couldn't answer the first question

@yurijpfaifer7940 Год назад

I love how dices of DND are platonic solids.

@alyzanyam5734 2 года назад

This is making me tired like my math class but unlike my math class I don't want it to stop :D

@Harrow_the_Ninth 8 лет назад

Hats off to the animator! And to professor Séquin, of course.

@noahheninger 4 года назад

Interview: Like an evil twin. Guy: Like a nice twin actually. This guy really loves shapes.

@stylis666 4 года назад

It's a platonic kind of love :p

@KevinKurzsartdisplay 3 года назад

So do I! Shapes are interesting

@mateuszszulecki5206 2 года назад

Thanks to this im gonna consider the octahedron and the cube as friends

@horrorspirit Год назад

@@stylis666 Get out

@PC_Simo Год назад

@@stylis666 Now; *_THAT’S_* a solid pun 👍🏻!

@babyfactory587 2 года назад

whoa! his 4d object collection is awesome

@charbelazar686 2 года назад

Now that's a proper science lesson, thank you very much for conveying such important knowledge in the most simplistic realistic fun way!

@syahmiqawiem 5 лет назад

We all live in 3 dimensional sphere earth while this guy live in his 6 dimensional rhombic triacohedron earth

@thefamousarthur 4 года назад

What?

@natedecoco615 4 года назад

@Audy Simon flat earther shush

@chicassoproductions8527 4 года назад

First qurstion I would have personally is in respect to his use of the word "in". So we don't live ON the sphere? We live IN the sphere? This is Hallow Earth theory right? Why then hush the flat earther?

@gavinbrown216 4 года назад

Chicasso Productions atmosphere

@matildadunkley6084 4 года назад

@@gavinbrown216 we live under the atmosphere not in it.

@DiceDecides 5 лет назад

24:23 "like an evil twin" "nice twins actually" Few seconds later "EVIL TWIN"

@Sirrwinn 4 года назад

Scrolled down just to find this lol my favorite part

@francisruizyamba6149 4 года назад

DiceDecides looks like thats his only speech

@MohammadAli-iz9ld 4 года назад

Yeah i like eminem too

@akoya5139 Год назад

the image of the heptagon shoving the other one away with the sound affect is absurdly funny

@AngeloXification Год назад

Imagine walking around an object but it appears to change its perspective as you are walking around it. As if it is an image projected into your field of view. When you get closer to it, it appears to envelope your field of view expanding as you get closer. There is no "surface", it's as if as you move "towards" it, it appears to expand exponentially. It would be so trippy to see higher dimensional objects projected in a way we could glimpse their form.

@northwind6199 7 лет назад

First time in my life I properly understood 4+ dimensions.

@jamzsmp 7 лет назад

NorthWind Achievement get!

@davidl.fernandez2940 6 лет назад

Dude... thats a bigass claim but if you say it must be true. Gratz. Im still on it!

@czechm4te 6 лет назад

same before I thought that it was just nonsense!

@user-go5ri2yg5f 8 лет назад

Please let this guy narrate more videos!

@evabeyza 2 года назад

That is absolutely amazing. I have just learned polyhedrons and the video comes up within a few time

@kerriann04 3 года назад

Barely understood a thing, but man, this dude was super interesting and I believed every word he said.

@rithikkumars1676 7 лет назад

Imagining 4d figures in your 3d head while watching it being illustrated on a 2d screen... My brain: *Nope*

@diamondpixelators475 5 лет назад

i feel ya

@user-ky7mf2kp2v 5 лет назад

And processing it with your 1d brain

@ninamilosavljevic8kg 5 лет назад

@@Corgi_fax no. we should instantly colonise mars

@IceX92 7 лет назад

It's almost like he making up those big word to make his speech appear more photosynthesis

@sinatraforeign 7 лет назад

Icex Aoki he is a professor tho, technically he's just osteoporosis.

@Ray-hx3rm 7 лет назад

Icex Aoki great he's trying to make his speech more cycle where plants make their food

@geckertim5126 7 лет назад

These comments are so dodecylbenzenesulfonate.

@hero_py 7 лет назад

Icex Aoki lol

@literallyeverything7264 7 лет назад

laundry sauce

@giusepperesponte8077 9 месяцев назад

This is the best video I’ve ever seen for trying to visually contextualize higher dimensionality.

@ShellyChambers-jk9en 3 месяца назад

I have always been browsing RU-vid for 4d and higher and you are one of the videos that have taught me something

@dhoffman4994 6 лет назад

I minimally understood, but I definitely feel smarter. Thanks!

@jfern6673 5 лет назад

im guessing 4d is a bunch of 3d space stuck together, and in order to get another 0.00001% increase in an idea of what 4d actually is, we would need to be outside our 3d universe, which is a 4d universe, looking back in

@ericcricket4877 5 лет назад

@@jfern6673 Revolutionary.

@Fermion. 5 лет назад

What I find impossible to wrap my mind around, is that a 4d being could take something from a locked safe, without touching the sides.

@duchyre 5 лет назад

@@Fermion. not if you take dimension compactification into consideration. The safe would still have a side in the 4th dimension, it would just not be symmetrical in size with the others.

@stellarfirefly 8 лет назад

Another shout-out to the animator(s) for this video. That's excellent, high-quality work right there. (Narrators, editors, etc. were also great of course, but they have always been so.)

@mahdinoroozi1614 3 года назад

amazing ,great works, thanks for putting together such an instructive illustration

@afronprime51 Год назад

The infinity is but a projection of a cercal that is curved and rotated so as to create the projection of an 8 shape in orthographic view. check that out. I have a brief instance of it in one of my music videos that I created in Blender. The video is called Momentum.

@martijnvanweele6204 7 лет назад

You really have to be a mathematician to be able to make proverbial chocolate out of something that is not just invisible, but also unimaginable...

@Ghorda9 7 лет назад

or be HP Lovecraft

@sambarillas1062 6 лет назад

martijn van weele WTF does that even mean?

@essentialdang 8 лет назад

My brain blue screened half way through

@Xayuap 8 лет назад

+invalidusername do not use win for rendering higher dimensions

@jamzsmp 7 лет назад

invalidusername Try using 4D Ram and a floppy disk

@yingo4098 3 года назад

me before vid: this is easy me after vid: _has enough questions to last 1 mil profs for 1 year_

@fopperer 3 года назад

I know I am not smart enough to understand these things but still I cannot stop watching videos like this one

@mx7718 7 лет назад

his voice is so soothing, combined with the maths...altogether this video is the stuff of my dreams

@marconapoleone 4 года назад

20:16 you are watching a projection of a 4D object that represents a 5D object in a 3D space flattened to a 2D space aka your screen. How cool is that?

@MerpIsMe 4 года назад

Marco Napoleone Huh.

@definitions7794 4 года назад

On your 1D brain

@That_One_Guy... 4 года назад

With the comprehension level of 0D

@definitions7794 4 года назад

With the -1d iq

@MarioRuizSincope 3 года назад

And the video is at it's core a one dimensional array of ones and zeros

@30IYouTube 3 года назад

Some names for regular polytopes are so insane toungetwisters! Here are a few: For 2D, we have: icosadodecagon tricontatrigon tricontatetragon tricontapentagon tricontahexagon tricontaheptagon tricontaoctagon tricontaennagon ... you get the piont. all 2d polygons where E => 32 3d stops at the icosahedron, so no touge twsters there 4D: hecatonicosahedroid hexacosihedroid