# Perfect Shapes in Higher Dimensions - Numberphile

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**Published on Mar 23, 2016**- Carlo Sequin talks through platonic solids and regular polytopes in higher dimensions.

More links & stuff in full description below ↓↓↓

Extra footage (Hypernom): usclip.net/video/unC0Y3kv0Yk/video.html

More videos with with Carlo: bit.ly/carlo_videos

Edit and animation by Pete McPartlan

Pete used Stella4D --- www.software3d.com

Epic Circles: usclip.net/video/sG_6nlMZ8f4/video.html

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GekkoTadpole 247Day agoWaiting for when we can get Dungeons and Dragons-style dice sets modeled after each of those wireframes-

parween heiser2 days agoWhat happens at 10 dimensions?

Entity #002 {Formerly Mr. Anomalous}2 days agoCame to learn about hyperdimensional geometry, stayed for the Swiss accent.

247 Stoned2 days agoyikes

Nicole2 days agoI clicked because the thumbnail reminds me of the monstrous geometric angels in Evangelion lol. [screams geometrically]

Screw The Net3 days ago^{+1}You didnt say how many symmetries the 120 cell had!! WHYYY!! T>T I say it has 28800 symmetries. Thought? o>O

Inoxia12343 days ago24:00 hellraiser is real...

cursed alien3 days agoThe 3D Platonic solids are all the dnd dice except for the d10

intergalactic snail3 days agoIs this the thing from neon Genesis evangelion?

André Paulsen3 days ago7:05 Go Utah!

Maxsurlek4 days ago24:30 A perfectly square monitor. What else would he use?

M.H.09034 days ago^{+1}Can someone answer this question for me?

Do objects that exist within the presumed 11 dimensions have to exist in all 11? Like, does the human body extent into higher dimensions without us realising OR can objects exist up to 3D/6D/7D etc.

Also, are the shapes he is holding in the video bending into 4D space or are they trapped in 3D?

Pocom5 days ago1:35 these are dices for D&D

Eyeswideopen 3335 days ago3d boring. We were 5th dimensional beings, but due to the powers that be, through indoctrination, foods, liquids, frequencies most are stuck in the 3rd. Alignment of the chakras, raising our kundalini to awaken the 3rd 👁 puts you in the 5th and you will see the truth of everything that is really here. The earth is rising so most people’s vibration will get higher. There’s 11 dimensions, but most wont get anywhere near it. Don’t put restrictions on yourself.

色々大好きおじさん6 days ago荷電粒子砲撃ちそう

Nathaniel Rosegg7 days agoIf you want to visualise the 4th dimension, inhale vaporized N,N DMT crystals

Jeffrey Saker7 days agoSo cool. many questions arise.

Pickles The Dog7 days ago^{+1}4d people are drawing in 3d right now

Sadman Pranto7 days agoI have self destructive personality.... This video burns my nervs but i watched at least 8 times as of now

Tudoricasmigal TV7 days agoFeel Better

Minecraft Beacon is a HyperCube

Alexandre Moraes8 days agoamazing Brazilian following up

Mechafinch Personal8 days ago^{+1}One of my greatest hopes for future technology is the ability to truly visualize 4D space and shapes

Cody Brown8 days agoThis is too much! I came home drunk, ate leftover pizza and thought dimensions were pretty cool... Now I have a polytope on order from Amazon and I need a new mind cause mines blown

Jorge Solar8 days agoMe encantó la traducción de youtube xd

A.V. X.D.9 days agoActually, as we, 3D creatures, see infinite polygons in 2 Dimension, a 4D creature actually sees infinite platonic solids in 3 Dimension, and we can only see 5 of them. Now think about 6D creatures and so on.

DogeMcMeow oof9 days agoim from a diamension so high that scientists are still trying to figure out what you would consider what diamension we live in would be

TheSphongleface9 days agoAll of this is as useless as it is man made.

Dave Deo10 days ago2 + 2 = 3 (extra 1 popped out in 4d)

Just kidding.. 😂

Dave Deo10 days agoGlad you made the video.

George Orsa10 days agoThat other guy sounds like maxmoefoe.

Alberto Antón Benítez11 days agoOMG I SAID 3!!! YAYYYYYY

Nevezla11 days agoThank you so much. very interesting

Nevezla11 days agoicosahedron has no polytope :( so sad

Marisa Caleche11 days agoNiki Lauda meets Menotti

james bennett11 days agowant to see in real life have some dmt case closed hahaahahaa

james bennett11 days agogeometric is only a human word high doses of dmt take you to dimensions unfathomable

Callum Palliser-Hanks11 days agoYou lost me at 5

MrThat0neperson12 days agoWhat

J Leone12 days agoIs there a way to purchase these models or do I need to find a 3D printer?

Toby Mardis14 days agoWill artificially intelligence be bound by our 3d brains? Will Brain interfacing allow us to experience higher dimensions?

Nate15 days agoAre there 11 other pentagons? yikes town.

David AE Levy15 days agoWith the triangles, each of those steps changes the process of closure to become the given solid. 🤔

Alex Works15 days agoWait, aren’t those still all 3D shapes. Really want to understand other dimensions but haven’t yet understood where this other dimension comes from or how it’s measured.

Han Byeol Lee12 days agohe just show us higher dimention shapes with "3D structure"

just like when you draw 3D cube in 2D image. it look like not rectangular in 2D but we all know it is rectangle.

So 4D or higher structures are not looks like perfect shape because we are seeing in 3D. but it has perfect shape

misterjohn john16 days ago^{+1}😀

J David17 days agoThis is the best explanation of a dmt experience ever.

Klasoweit17 days agoMaybe I missed it, but where was the 16-cell, the sixth 4D-polytope?

Heather Vazquez17 days agoI would like to hear Carlo’s thoughts on the real crop circles. Please.🙏🏻

Jimmy David19 days ago^{+1}Is a hypercube the same thing as a tesseract?

ebiljebus18 days ago^{+1}A tesseract is another name for a hypercube, yes.

Bruno Jimmy20 days agomuy largo al pedo el video

unnecesary long video

Bruno Jimmy20 days agowhen the shapes appears?

az20 days agoNotice: Your brain wants to die.

TheFamousArthur22 days ago4D SHAPES OUT OF 3 SHAPES

Let's do some:

3 tetrahedra 211.5 degrees

4 tetrahedra 282 degrees

5 tetrahedra 352.5 degrees

6 tetrahedra 423 degrees

3 cubes 270 degrees

4 cubes 360 degrees

5 cubes 450 degrees

3 octahedra 328.5 degrees

4 octahedra 438 degrees

3 dodecahedra 349.5 degrees

4 dodacehedra 466 degrees

3 icosahedra 414 degrees

TheFamousArthur22 days ago3D SHAPES OUT OF 2D SHAPES

Let's do some:

3 triangles 180 degrees

4 triangles 240 degrees

5 triangles 300 degrees

6 triangles 360 degrees

7 triangles 420 degrees

3 squares 270 degrees

4 squares 360 degrees

5 squares 450 degrees

3 pentagons 324 degrees

4 pentagons 432 degrees

3 hexagons 360 degrees

4 hexagons 480 degrees

3 heptagons 384 degrees

Wa Duz23 days agoKlettern Sie in eine neue Dimension of Investment! ?

Möchten Sie mit wenig Geld hohe 4 dimensionale Renditen erzielen und reich(Millionär) werden? Investieren Sie in brasilianische Tiefpreis- Grundstücke!".

Wo suchen? Im Internet!

bob smith23 days agoAre there shapes in the fourth dimension that don’t exist in the third dimension?

notMax Awa23 days agoHow would stellated polygons plook like in 4d?

abiram padmadhar24 days ago7:27😉

Pilot S25 days agoHoliey shiet, this is amazing

Drek Picken25 days agoDMT!

Ursa Major26 days ago^{+1}Mr Sequin is the Morpheus of Geometry

Kelton M26 days agoHey Numberphile! Where would I go to find the argument or proof of the 4th dimension in mathematics? Thank you! :)

Bob Jones26 days agoHow do they know that shapes of higher number of vertices in 2d wont make a closed shape (like decahrdron and stuff going to infinity)

Jonás Weimann26 days agoJAJAJA "UN PELOTUDO QUE NO ENTIENDE NADA"

ismail hakkı yağan26 days agothis is a very nice proof of FERMAT THEOREM

Super Awesome Fun27 days agoThere are 10 plattonic soilds.

Petriell028 days agowhat others see : geometry

what i see : D&D dices

RSFAKQJ10 RSF-28 days agoI am waiting for the 10D shape in the near future

Kavi Vaidya28 days agoCAL!!! My alama mater!!!

Richard BullMonth agoBetter go to the gym, gotta get in better shape :)

Eduardo GarridoMonth agoWhen I die, I want that my life' story be narrated by him.

Johannes HMonth ago^{+2}I'm excited for the first person growing up in 4 Dimensions, in the time when living in a simulation will be a normal thing.

Im.rlly. bored.Month agoHeres a crazy theorie. What if 4 dimensional is the astral plane. Or where ghosts are. So if souls were real, could there possibly a space for us to go.

Andriana HolubkaMonth agoBeing the Japanese Language Philologist... I am enjoying this video quite a lot, thank you

ButterGraffion DoritoMonth agoWe see in 2d though... This blew my mind when I first found it out.

Luis De PabloMonth agoif any shape can exist in 2 dimensions but only 5 in 3 dimensions, how can anything exist in higher dimensions?

Guilherme Gaspar29 days agoThas not how it worksssss

Mexican JoJoMonth agoBasically, just try to point "inside" or "outside"

saeed kashanMonth agoVery very easy to imagine. No problem 😄

Philosiraptor JrMonth ago6:29 Top 10 anime betrayals.

TheFamousArthurMonth ago414 degrees /warped\

TheFamousArthurMonth ago466 degrees /warped\

TheFamousArthurMonth ago349.5 degrees /barely fits\

TheFamousArthurMonth ago438 degrees /warped\

TheFamousArthurMonth ago328.5 degrees /kind of fits\

TheFamousArthurMonth ago450 degrees /warped\

TheFamousArthurMonth ago360 degrees /completely filled\

TheFamousArthurMonth ago270 degrees /fits\

TheFamousArthurMonth ago423 degrees /warped\

TheFamousArthurMonth ago352.5 degrees /barely fits\

TheFamousArthurMonth ago282 degrees /fits\

TheFamousArthurMonth ago211.5 degrees /fits\

TheFamousArthurMonth agoLearning fractions of degrees

TheFamousArthurMonth ago384 degrees /warped\

TheFamousArthurMonth ago480 degrees /warped\

TheFamousArthurMonth ago360 degrees /completely filled\

TheFamousArthurMonth ago432 degrees /warped\

TheFamousArthurMonth ago324 degrees /kind of fits\

TheFamousArthurMonth ago450 degrees /warped\

TheFamousArthurMonth ago360 degrees /completely filled\

TheFamousArthurMonth ago270 degrees /fits\

TheFamousArthurMonth ago420 degrees /warped\

TheFamousArthurMonth ago360 degrees /conpletely filled\