Perfect Shapes in Higher Dimensions - Numberphile
Переглядів 5,264,035
8 років томуCarlo 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
Epic Circles: • Epic Circles - Numberp...
Support us on Patreon: / numberphile
NUMBERPHILE
Website: www.numberphile.com/
Numberphile on Facebook: / numberphile
Numberphile tweets: / numberphile
Subscribe: bit.ly/Numberphile_Sub
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): bit.ly/MSRINumberphile
Videos by Brady Haran
Brady's videos subreddit: / bradyharan
Brady's latest videos across all channels: www.bradyharanblog.com/
Sign up for (occasional) emails: eepurl.com/YdjL9
Numberphile T-Shirts: teespring.com/stores/numberphile
Other merchandise: store.dftba.com/collections/n...
@000netko 3 роки тому
"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 роки тому
xD
@mishikomishiko9088 3 роки тому
LOL
@thankor 3 роки тому
Haaaahaaa
@mopsbackupaccount5128 3 роки тому
Same
@theatrefirefly 3 роки тому
Most underrated comment on all of youtube for all of time. thank you.
@chronovac 5 років тому
When I watch these videos, i simultaneously feel both smarter and dumber
@Alex_Hernandez999 5 років тому
That's how being smart feels
@powerinknowledge2392 5 років тому
That's called learning, first you dont know what you dont know, then you know what you dont know, then you know
@atryan1125 5 років тому
I just feel dumber
@RedGallardo 5 років тому
The more you know the more unknown you're able to see around you. There's a parable about that.
@JonCombo 4 роки тому
@@alicec1533 Forth Dementia.
@minie7950 3 роки тому
“this is a icosahedron” me who plays dnd: ah yes, a d20
@GregtheGrey6969 3 роки тому
No mention of the 10 sider for some reason...the forgotten solid.
@jacoblynch8844 3 роки тому
Sides aren’t regular polygons :(
@theprodigal72 2 роки тому
@@jacoblynch8844 *polyhedra
@realmless4193 2 роки тому
@@jacoblynch8844 they actually can be, the problem is that the vertices aren't the same.
@Thiago-ck5iu 2 роки тому
@@theprodigal72 polygons*
@nikdoesstuff9338 3 роки тому
Ah yes those famous rpg dice... The d4, the d6, the d8, the d10, the d20, and the dTEAPOT
@lukiepoole9254 2 роки тому
Not d12?
@daveslamjam 2 роки тому
the deapot
@MorningLightMtn 7 років тому
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 років тому
And so on lol...
@MuzikBike 7 років тому
and are confused at how 3D biology could even exist.
@neildhan 7 років тому
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 років тому
NusXrrnak Somewhere in 1d space, 1d scientists are wondering how they even exist.
@Misterlegoboy 7 років тому
somewhere in 0D space, there is a very small speck doing nothing.
@johnathonwaymire9483 3 роки тому
I feel like my brain gets so close to imagining higher dimensions before breaking completely.
@johnsaylor1583 3 роки тому
Mine doesn't
@aliensasquatch7485 3 роки тому
@@johnsaylor1583 ok.
@johnsaylor1583 3 роки тому
@@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 роки тому
@@johnsaylor1583 or maybe you could, but then your mind broke completely and now you don't remember.
@the0master200 2 роки тому
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."
@Rune3D 3 роки тому
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 Рік тому
JEWS!!!!!
@snailcheeseyt 10 місяців тому
@@user-gr6he3hg1u??
@spirit_x64 5 місяців тому
It's actually one of the oldest memes in the computer feld. And it still funny to think about 💀
@mortal19901001 3 роки тому
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 роки тому
You made me think he died or something
@gamemeister27 2 роки тому
He's still kicking. 79 years old!
@ekkekrosing8454 2 роки тому
@@rurihime4965 same
@garnet1918 Рік тому
Confirmed still alive!
@PC_Simo Рік тому
@@rurihime4965 My thoughts, exactly 😨.
@shpongle7322 4 роки тому
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 роки тому
Is this clear to you? 😂
@albertorivas6339 4 роки тому
Remenber Nikola Tesla? Read about him.....
@lilfr4nkie 4 роки тому
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 роки тому
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 роки тому
@@shpongle7322 just another 4d mysticism delusional dude hahaha
@wariouswarious9364 5 років тому
Meanwhile in a higher dimension: "Mom, can you buy me some real toys... I'm tired of playing with these Rhombic Triacontahedrons"
@tomasmieger6826 5 років тому
Oh kid. Just play ball, it rolls in any dimension.
@Dexuz 5 років тому
@@tomasmieger6826 "MOM, everytime I try to roll this 3D ball it just falls over :c"
@willardaustria 5 років тому
@@Dexuz Underrated comment!
@christopherochoa4145 4 роки тому
"The fun will never end, it's Adventure Time!"
@_skzstay1264 4 роки тому
Mom: sure son, do you like a triangle or a cube?
@scptime1188 2 роки тому
Mathematicians: there are 5 regular polygons in 3d space jan Misali: 48, take it or leave it.
@Peztllence 2 роки тому
jan Misali It's a toki pona thing where only names are capitalized
@JonathanMandrake 2 роки тому
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 2 роки тому
@@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 Рік тому
@@zackbuildit88 Misali would be proud (maybe)
@zackbuildit88 Рік тому
@@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 роки тому
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.
@MarkOates2 6 років тому
This guy has the perfect accent for the word tetrahedron
@nanu4144 5 років тому
if you know how to roll your r's then you can also say it like him
@guitargeorge1874 5 років тому
I like his pronunciation on the word square. "Sqvare" :)
@wtfduud 5 років тому
It's like a german-scottish mix.
@EdoTimmermans 5 років тому
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 років тому
Tetraheedraun!!
@kyoai 7 років тому
That guy has an amazing voice/accent mix.
@ianedmonds9191 7 років тому
He's a good lecturer. It's his job to hold your attention.
@highlewelt9471 7 років тому
I always wonder what accent it could be
@jarryda 7 років тому
I thought it was some kind of Scottish, but apparently he's from Switzerland.
@PooperScooperTrooper 7 років тому
Sample it, loop it, fuck it.
@RAL_III 7 років тому
Go Switzerland! It is the best country!!!
@ColinBache 3 роки тому
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 місяців тому
❌❌ ❌❌ ❌❌ ❌ FloorFloorFloorFloor It fell.
@evank3718 3 роки тому
Props to the animator the visuals in this were amazing
@Abdega 6 років тому
*[SCREAMS GEOMETRICALLY]*
@ksp-crafter5907 5 років тому
Ramiel ;)
@tiagobelo4965 5 років тому
radbarij nice
@squareheart7077 5 років тому
Like when liquid metal goes down Neo's throat.
@HolahkuTaigiTWFormosanDiplomat 5 років тому
um..
@tear728 5 років тому
ERASE MEEEE!
@odinseikatsu4952 5 років тому
Trying to picture 4D is kinda like trying to play a movie in a music player
@brysonsirus7747 5 років тому
More like getting a calculator to say 2+2=5. It’s not really hard, it’s just impossible. :3
@brysonsirus7747 5 років тому
Although getting a movie to play in a music player is also impossible so what am I saying?
@xxCrimsonSpiritxx 4 роки тому
you can run the audio only though, that's like projecting 4D in 3D sim
@IndigoGollum 4 роки тому
@@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 роки тому
It's possible to see images in audio spectogram :p
@SK-vk9jf 2 роки тому
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.
@AdlerMow 2 роки тому
He is a mix of Carl Seagan and Admiral Picard, and his coolness factor a multiplication of both taken to the cube.
@logicplague2077 5 років тому
I bet your 3D printer would literally cry if it could lol.
@misanthropicisolation4013 5 років тому
As opposed to figuratively?
@nicholasmolberg1043 5 років тому
He's granted his 3d printer eyes.
@AnymMusic 5 років тому
New torture test
@itsmeminime7958 5 років тому
ΔISEPTICONS 4 EVER AHAHHAHAH
@UwU-wl4ep 5 років тому
He can Print tears
@cashbag 4 роки тому
Trying to understand 4D in a 3D world through a 2D screen.
@legokenobi1185 4 роки тому
With a 1D time line
@haellm9192 4 роки тому
@@legokenobi1185 time is actually 4th dimensional structure
@harold9924 4 роки тому
@@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 роки тому
trolli gettin' roasted into inexistance
@natedecoco615 4 роки тому
@@legokenobi1185 time isnt 1d
@derekhasabrain 2 роки тому
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
@drustanastrophel9538 3 роки тому
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
@wandererinthedust276 8 років тому
At first I was all, "OMG! PRETTY SHAPES!" but then I was like, "What even is life?"
@raiden490 8 років тому
lool
@Angloth 8 років тому
+Wanderer in the Dust LSD
@jeroenconinx6121 8 років тому
LSD is the best
@kozhikkaalan 7 років тому
hahahahahahh. love your comment
@victorsousa7239 7 років тому
42
@koalawithchaingun53 6 років тому
Watching 4D objects represented in 3D projections on a 2D screen.... seems legit
@some1112 5 років тому
With our 1D brain
@garysutherland7004 5 років тому
@@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 років тому
and also with eyes which can only see 2d on their own
@dylanburfoot1262 5 років тому
@Gary Sutherland r/Whooosh
@DandiLionism 5 років тому
OBVIOUSLY our imagination is bigger than our eyes
@toddmiller6232 Рік тому
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. :)
@loquacity4765 2 роки тому
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!
@Jack.Strait 5 років тому
The idea of 1D honestly scares me more than 4D
@SalveSandWonk 5 років тому
JackStrait *scares in 0D*
@mauz791 5 років тому
@@SalveSandWonk *screams on *point**
@SoluKissin 5 років тому
The band or the dimension?
@Jack.Strait 5 років тому
@@SoluKissin The band obviously
@BrettChungus 5 років тому
Thanks for that horrifying vision. This video contextualized that statement.
@Zichfried 3 роки тому
And this is why they shouldn't call "4D movies" the 4D movies. Excellent video. Thank you!
@colelevel2654 3 роки тому
Ye legit wtf
@ez_is_bloo 3 роки тому
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 роки тому
@@ez_is_bloo so all movies are 4D then...
@lou7319 3 роки тому
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 роки тому
@@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
@toma_1225 2 роки тому
Making a 3D out of a 5D shape means that you are taking the shadow of the shadow of that 5D shape 🤯
@_charademon_ 3 роки тому
This video: exists Me, an anime watcher: RAMIEL
@mamalogon 2 роки тому
I was just looking for this comment.
@GDSCLag 2 роки тому
@@mamalogon lol same
@BulletTheEnforcer 4 роки тому
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 роки тому
Wow, same
@MegazoneMusic23 3 роки тому
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 роки тому
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 роки тому
@@D4narchy his wonder is beautiful
@betteryou7hanme 3 роки тому
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?
@phuturephunk 7 років тому
I really wish, if only for a moment, I could actually experience perceptive awareness of an additional spatial dimension.
@chrislynch6545 7 років тому
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 років тому
***** who?
@indiangrimreaper8247 7 років тому
phuturephunk me too... but we could always try weed 😅😅😅
@tonykostov928 7 років тому
actualy we do but we don't realise it and we can't feel it
@ThePedroEtc 7 років тому
That's how crazy people are made
@emmanuelgiouvanopoulos8273 11 місяців тому
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.
@dream__soda7900 Рік тому
4d space must look terrifyingly awesome.
@tone618 Рік тому
trust me its beyond anything you can comprehend
@tone618 Рік тому
litteraly
@666thecreature Рік тому
@@tone618 have you been there?
@guptahaha 11 місяців тому
@@tone618 you sound so definitive, have you been there?
@invzmk 4 місяці тому
hes been there and so have you
@r0b0tiks 5 років тому
People in 4D space are writing down notes in 3D
@neymarjr4566 5 років тому
Le funny 😜
@tea5316 4 роки тому
love it lol reminds me of a movie
@Soilad 4 роки тому
And people in 2D are writing in 1d
@electro-magnetik528 4 роки тому
Which movie..??
@saharshbehal8766 4 роки тому
can't imagine that though
@SyphistPrime 6 років тому
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 років тому
nice one
@IamKingofInternet 6 років тому
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 років тому
Imagine watching TV in the 4d universe
@Nejvyn 5 років тому
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 років тому
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.
@TM-wn6fj 2 роки тому
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.
@AlexisTwoLastNames 3 роки тому
this channel is making me realize i want to study this kind of conceptual math along with financial math and quantitative analysis
@zyaicob 2 роки тому
Go for it, Jane Street awaits
@siddiqislam4035 5 років тому
mathematicians: there are only five platonic solids utah teapot: 😤😤😤😤😤
@TheLegend-jp1vg 5 років тому
@Jason Lee Its not just pissed its steaming
@eldnahym 5 років тому
The Legend27 name checks out
@BrutusAlbion 4 роки тому
@@eldnahym it's actually a freesian teapot but whateffs
@harrisonsimmons5256 4 роки тому
😂😂😂
@deouro 4 роки тому
utah teapot: hold me tea...
@sunriseavefan98 5 років тому
The fact that three dimensional beings can even figure out the properties of four dimensional objects amazes me.
@RJavier007 5 років тому
You are sick
@cjlwhite1 5 років тому
@@RJavier007 what.
@michaelnortheast394 5 років тому
@@RJavier007 I am wondering what warranted that response...
@RJavier007 5 років тому
@@michaelnortheast394 he refers to people as beings as if he was not a human himself
@jacoblittmann2807 5 років тому
Or can they?
@skullmastergamer 3 роки тому
6:17 That honestly looks really cool
@masterspark9880 3 роки тому
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
@noahheninger 4 роки тому
Interview: Like an evil twin. Guy: Like a nice twin actually. This guy really loves shapes.
@stylis666 4 роки тому
It's a platonic kind of love :p
@KevinKurzsartdisplay 3 роки тому
So do I! Shapes are interesting
@mateuszszulecki5206 2 роки тому
Thanks to this im gonna consider the octahedron and the cube as friends
@horrorspirit Рік тому
@@stylis666 Get out
@PC_Simo Рік тому
@@stylis666 Now; *_THAT’S_* a solid pun 👍🏻!
@AlanKey86 8 років тому
The diagrams, the colours, the animations are all just wonderful! 5 stars! or should that be "5 Platonic Solids!"
@pmcpartlan 8 років тому
+AlanKey86 Thanks Alan, was that your lovely twinkly stuff over the polyhedra?
@AlanKey86 8 років тому
+Pete McPartlan It was indeed :)
@pmcpartlan 8 років тому
+AlanKey86 5 Stellated Polyhedra.
@adrianhaus 8 років тому
+AlanKey86 5 Thumbs up
@__Bruh 5 років тому
@AlanKey86 - there would only be four stars in three dimensions - the stellar dodekahedron, great dodekahedron, great stellar dodekahedron, and great icosahedron.
@BIG.pisquared 3 роки тому
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!
@AntoanetaDD 3 роки тому
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...???
@bibasik7 6 років тому
Don't be ashamed of yourself if you're confused. It took Super Mario 11 years to figure out 3D.
@xRyann_ 5 років тому
Really underrated comment.
@NickLM2008 5 років тому
*N I C E*
@SineEyed 5 років тому
Yeah but 11 years our time is only like 35 minutes 4D time, so...
@donovanmahan2901 5 років тому
When Mario dies in the 3d world, does he jump out in a 4th dimension?
@jfern6673 5 років тому
Bibasik another dipshit comment, searching for praise while providing stupidity without intelligence..
@EllieVaricuber 7 років тому
I have no idea what this man is talking about, but it's damn cool!
@RoaringTRex 7 років тому
Lol!
@izaakfewton7536 7 років тому
Lol. I love you mate! :)
@EllieVaricuber 7 років тому
Love u 2
@flinchfu 7 років тому
El Milto I'm pretending to understand it... ow my brain.
@RtsShrtFrRtthw 7 років тому
Flinch Fu same!
@feraskiki655 3 роки тому
" Could you show to a NON-mathematician in an intuitive way." That is the right approach...
@cathie_486 2 роки тому
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
@seantobin5235 8 років тому
do a video on the Utah teapot
@omfgmouse 8 років тому
+Sean Tobin yes, please!
@ximenabriones5040 8 років тому
Yes!
@rich1051414 8 років тому
+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 років тому
+Sean Tobin your body is ready for it, isn't it
@eschelon9067 8 років тому
+Sean Tobin Yes, please do.
@williamaleman5460 5 років тому
So far I am just enjoying the shapes.
@Alwis-Haph-Rytte 5 років тому
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 5 років тому
Mr Rytte Excuse me..what exactly are you saying? “to make themselves FEEL smart?” That is just a doosh thing to say..
@davidmurvai40 4 роки тому
Enjoying the shapes... That's something I do on pornhub XD
@jhosp89 3 роки тому
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 місяців тому
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.
@THC800 3 роки тому
That Rhombic Triaconthahedron (22:58) is a mind blowing 6D shape. It has cubes as its faces!
@PC_Simo Рік тому
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.
@mg222. 7 років тому
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 років тому
MG222 super mega Omni ultra nega pneumono hyper alternative meta ultra polyvoxel
@alexc4924 6 років тому
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 років тому
MG222 Super Kami Isocahedron
@hydrathermal9030 6 років тому
Not when I shift into MAXIMUM OVERDRIVE
@flyingspacebrainedidiot 5 років тому
Erm... That would be incredibly weird.
@patwalsh9360 5 років тому
I have my unit 3 and 4 English and Psychology exams tomorrow but this is far more important
@alejrandom6592 5 років тому
How was it
@alejrandom6592 5 років тому
I need to know you can't leave half of a story
@justinmolanick7989 5 років тому
It's your life dude and your money
@alejrandom6592 5 років тому
Anserw
@patwalsh9360 5 років тому
yo sorry dude. went well 👍🏼 will be getting into uni!
@vivianwilfred1768 3 роки тому
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.
@braydenfrederick7879 2 роки тому
His accent mixed with talking math stuff is quite a soothing experience tbh
@DiceDecides 5 років тому
24:23 "like an evil twin" "nice twins actually" Few seconds later "EVIL TWIN"
@Sirrwinn 4 роки тому
Scrolled down just to find this lol my favorite part
@francisruizyamba6149 4 роки тому
DiceDecides looks like thats his only speech
@MohammadAli-iz9ld 4 роки тому
Yeah i like eminem too
@tijmenvanderree487 8 років тому
I understand some of these words.
@milo1685 8 років тому
loool
@victorotene 8 років тому
Then you're doing well.
@kawaiipotatoes2951 8 років тому
I understood what cube meant
@enderman6777 7 років тому
Then why use it?
@Samstar369 7 років тому
That's the joke.
@charbelazar686 2 роки тому
Now that's a proper science lesson, thank you very much for conveying such important knowledge in the most simplistic realistic fun way!
@evabeyza 2 роки тому
That is absolutely amazing. I have just learned polyhedrons and the video comes up within a few time
@Proxyincognito 8 років тому
My brain shut down at 18:27 and everything lost its semantic value.
@theodoros_1234 8 років тому
+Gazeth Sonica RIP
@yoruneko34 8 років тому
Same
@Jossandoval 8 років тому
+Gazeth Sonica Hehehe semantics :drooolz: I haz losst it.
@kunstderfugue 8 років тому
+Gazeth Sonica defintely takes some practice to keep up with the more abstract topics in mathematics
@Proxyincognito 8 років тому
Energy Core Very true, but thats also what makes it so much fun xD
@theRealPlaidRabbit 8 років тому
I love the Platonic solids, but only as a friend.
@burpie3258 8 років тому
+theRealPlaidRabbit that's offensive, yo.
@theRealPlaidRabbit 8 років тому
+burpie Love can be between one rabbit and a bunch of polytopes. Even if it's not that kind.
@burpie3258 8 років тому
theRealPlaidRabbit Can it also be between a rabbit and... a polar bear? :-D
@theRealPlaidRabbit 8 років тому
burpie A snowshoe hare-- until the bear gets hungry! :)
@perirana1078 8 років тому
+theRealPlaidRabbit Platonic Solids can be renamed the "Friendzoned" Solids... XD
@nyanates 3 роки тому
This is the best demonstration of Platonic solids I’ve seen yet.
@RooiGevaar19 3 роки тому
I love the way he pronounces "tetraheedrron" and "sqvares". And overall films with him are marvellous
@IceX92 7 років тому
It's almost like he making up those big word to make his speech appear more photosynthesis
@sinatraforeign 7 років тому
Icex Aoki he is a professor tho, technically he's just osteoporosis.
@Ray-hx3rm 7 років тому
Icex Aoki great he's trying to make his speech more cycle where plants make their food
@geckertim5126 7 років тому
These comments are so dodecylbenzenesulfonate.
@hero_py 7 років тому
Icex Aoki lol
@literallyeverything7264 7 років тому
laundry sauce
@CheeseTruffles 6 років тому
who else felt extremely satisfied watching the animations
@Ioganstone 6 років тому
Hark! Indeed. The motion feature segmentation of this piece was rather the most symbolic yet inert, inscrutably binomial for one to grasp.
@jktube5143 6 років тому
me
@ShellyChambers-jk9en 3 місяці тому
I have always been browsing UKposts for 4d and higher and you are one of the videos that have taught me something
@AngeloXification Рік тому
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.
@syahmiqawiem 5 років тому
We all live in 3 dimensional sphere earth while this guy live in his 6 dimensional rhombic triacohedron earth
@thefamousarthur 4 роки тому
What?
@natedecoco615 4 роки тому
@Audy Simon flat earther shush
@chicassoproductions8527 4 роки тому
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 роки тому
Chicasso Productions atmosphere
@matildadunkley6084 4 роки тому
@@gavinbrown216 we live under the atmosphere not in it.
@cardor9269 4 роки тому
they missed the seventh three dimensional platonic solid: kissing your homie goodnight
@ukiitm 4 роки тому
What is the sixth?
@flabbergabber 4 роки тому
@@ukiitm the Utah teapot
@PeepingUkulele 4 роки тому
😂 cute
@PeepingUkulele 4 роки тому
😂 cute
@ghastgamer5299 4 роки тому
r/SuddendlyGay (Ironic)
@giusepperesponte8077 9 місяців тому
This is the best video I’ve ever seen for trying to visually contextualize higher dimensionality.
@mahdinoroozi1614 3 роки тому
amazing ,great works, thanks for putting together such an instructive illustration
@the_phoe 6 років тому
I like the question the young guy asks, he's smart enough to make these kind of interviews actually interesting
@Alexisasful 5 років тому
Or maybe the questions are pre-scripted?
@r_____________________ 5 років тому
I think the questions are scripted.
@Eicee-yg6jh 5 років тому
Well... He couldn't answer the first question
@rithikkumars1676 7 років тому
Imagining 4d figures in your 3d head while watching it being illustrated on a 2d screen... My brain: *Nope*
@diamondpixelators475 5 років тому
i feel ya
@user-ky7mf2kp2v 5 років тому
And processing it with your 1d brain
@ninamilosavljevic8kg 5 років тому
@@Corgi_fax no. we should instantly colonise mars
@afronprime51 Рік тому
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.
@stromboli183 3 роки тому
This channel is pure gold.
@MaRiahhTurnerPoliticalMakeup 4 роки тому
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
@dhoffman4994 6 років тому
I minimally understood, but I definitely feel smarter. Thanks!
@jfern6673 5 років тому
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 років тому
@@jfern6673 Revolutionary.
@Fermion. 5 років тому
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 років тому
@@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.
@alyssatortora7156 11 місяців тому
Amazing explanations! This really helped me understand the complexity of other dimensions. Very informative video.
@30IYouTube 3 роки тому
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
@abedfadila9266 8 років тому
i lost you at 2d..
@ximenabriones5040 8 років тому
Bruh
@ARVash 8 років тому
+Abd Alrahim Fadila flat
@tylersmythe8216 8 років тому
+Abd Alrahim Fadila ui completly understood it untill that point, as this man might say it was "bogus"
@tylersmythe8216 8 років тому
Ronald K. XDDDDDDDDD
@Alwin_Penn 8 років тому
+Ronald K. Tetrahedra and triangles simply shared a common ancestor. Sit down, please, before you hurt yourself.
@northwind6199 7 років тому
First time in my life I properly understood 4+ dimensions.
@jamzsmp 7 років тому
NorthWind Achievement get!
@davidl.fernandez2940 6 років тому
Dude... thats a bigass claim but if you say it must be true. Gratz. Im still on it!
@czechm4te 6 років тому
same before I thought that it was just nonsense!
@engrdendenkadil1147 3 роки тому
This has better explanation than the other. Much clearer. ❤️
@VansangluraVanchhawng 3 роки тому
This is the greatest video on dimensions on UKposts that I've watched (many times).
@Harrow_the_Ninth 8 років тому
Hats off to the animator! And to professor Séquin, of course.
@tenletters5889 7 років тому
4d liquid would be the trippiest thing imaginable
@branchestarot Рік тому
You are blowing my mind on Pi Day! ,My spiritual guides led me to your channel. Thank you sir!
@babyfactory587 2 роки тому
whoa! his 4d object collection is awesome
@marconapoleone 4 роки тому
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 роки тому
Marco Napoleone Huh.
@definitions7794 4 роки тому
On your 1D brain
@That_One_Guy... 4 роки тому
With the comprehension level of 0D
@definitions7794 4 роки тому
With the -1d iq
@MarioRuizSincope 3 роки тому
And the video is at it's core a one dimensional array of ones and zeros
@stellarfirefly 8 років тому
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.)
@hallur7523 2 роки тому
This is truly amazing … thx for sharing
@vutrongquyen2796 2 роки тому
I have learned about 4d for months but now i do really acquire the concept and catch the precise definition also visualization of a 4d cube
@martijnvanweele6204 7 років тому
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 років тому
or be HP Lovecraft
@sambarillas1062 6 років тому
martijn van weele WTF does that even mean?
@mx7718 7 років тому
his voice is so soothing, combined with the maths...altogether this video is the stuff of my dreams
@paradisemike1582 3 роки тому
nice job pal... just when I thought I might get some sleep tonight... but thanks too, that was explained quite well. I now have a better understanding.
@yurijpfaifer7940 Рік тому
I love how dices of DND are platonic solids.
Суспільне Чернівці
Переглядів 123 тис.
The Lazy Engineer
Переглядів 792 тис.
notebook-31
Переглядів 913 тис.
Wylsacom
Переглядів 41 тис.
i-shoppers обзоры
Переглядів 32 тис.