How to Play 4D Chess

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[@jacksonparis2637]

Welcome to 4d chess, where you have to convince the other player about the legality of your move every turn.

[@DaveyKanabus]

Now it makes sense why people call politics 4D chess all the time.

[@AndIChoseToSpeakFAX]

Now make it quantum too with superposition and entanglement

[@AndIChoseToSpeakFAX]

Including observation paradox and others

[@anotherrandominternetguy404]

@@AndIChoseToSpeakFAX "I took your rook!" "No, now it's a pawn. By the way, on the time scale you did it around 5 seconds ago, but in 5d chess it was about 7 years ago, and I'm legally moving my queen/knight to another board. Checkmate." "We're playing backgammon bro"

[@AndIChoseToSpeakFAX]

@@anotherrandominternetguy404 My 3 comments got deleted so I'm trynna be careful and write short 😔😔😔☭ So Peg would be a simpler game, or checkers I would've written much longer if youtube didn't want to forget my comments

[@hershmysson]

5th dimensional beings watching this be like “bruh, those guys are so bad”

[@BaldTorment]

Just wait for chess gods to call each other boys as an insult

[@fishecake2794]

noobs can't even manipulate time and space smh

[@thefourthdymensionmusic]

nah, they just noobies.

[@pez1870]

i wanna see a 6d chess, that be cool

[@Smugly33810]

5d chess is just 4d chess with time travel no ones played 5 spacial dimentional chess

[@shieldphaser]

To be fair, I could see that 3d chessboard being something that people could legit buy.

[@ant5389]

i would play 3d chess tbh

[@deprimat666]

They do sell them. I played one in primary.

[@Justin14379]

Sheldon has one on Big Bang theory.

[@dekustick6870]

and all you gotta do is buy 4

[@raiden542]

@@dekustick6870 8 actually if you want a cube

[@thewolfstu]

1D Chess: A Contemplation of War. 2D Chess: An Attempt at War. 3D Chess: An Understanding of War. 4D Chess: A Mastery of War. 5D Chess: Becoming the War.

[@aquate9637]

6D chess: BOY

[@Tea12515]

1D Chess is the thought at the back of your head

[@unsatisfactory1298]

7D Chess: The Controller of War 8D Chess: The God of War 9D Chess: The God of board game gods 10D Chess: Ascension of all war 11D Chess: Sun Tzu

[@kaderen8461]

1d chess would have to have the pieces moves so altered that it becomes a different game entirely

[@Mo_Mauve]

6D Chess: Turning other people into the war & spreading like a virus. 7D Chess: Everything is war, whether it's alive or not.

[@xbubbahotep]

i wonder how many checks happened that weren't even thought of

[@vextea1503]

I guess we need to replicate the game to other people.

[@creeperizak8971]

Probably none

[@sambull3832]

@@LiminalHorror where

[@D00ML0RD1]

watched it like 7 times i counted 260 uncalled checks and there was actully a point he could of check mated her

[@kennethsangalang9432]

This should be an international competition and the winner gets the title, "Grandmaster of the 4th Dimension"

[@thefourthdymensionmusic]

*stifles laughter*

[@govindasharman425]

I'm going to win that title

[@PsPlay815]

That would make me instantly want to play this

[@Lord_Asshat]

Most underrated comment of the decade

[@thefourthdymensionmusic]

@@Lord_Asshat and yet nobody has commented on how hilariously my name relates to said comment.

[@Sans-ih2el]

+ You wanna play chess? - Ok bring the board. + What board? - What do you mean? +We ain't no noobs now come to the 12 dimentionel chess room.

[@Fluenzein.]

*Yes*

[@Anseelz]

Kekkai Sensen in a nutshell

[@user-ty2ry2sk2w]

rooms*

[@h.1699]

For an "easy" 3d representation of a 6d board you'd have a cube made out of cubes of these 4tiled boards for the sake of 3d peoples sanity after that keep the 6d boards in separate rooms (i mean better than using ladders). A 3d representation of a 9d board would than be a cube of these rooms (still buildable with shipping containers). You could go higher in dimensions, but i'd say anything above 6d wouldn't be practical to play on a physical board anymore.

[@elainasynranelt]

in a world where 14th dimensional chess could exist, string theory would be a valid idea.

[@hlouis729]

1 dimensional beings watching this be like: Impossible, all i see is a dot.

[@hlouis729]

​@Turner Johnson one dimensional people see dots because, two dimensional people see lines (only one side of a 2D shape) because because, us three dimensional people can only see one side of an object at a time... if you dont understand i am just a random human on this earth that is very bad at explaining things fasld;jkkfj;sd

[@QuikVidGuy]

@@hlouis729 one dimensional people only see darkness... or old apple computer graphics, I'm not sure which one's funnier

[@YyoavV]

acctually that whould be a line. zero dimentions is an infinitly small dot tho Edit: yea I was dumb. if you were in the 1st dimension it would be like an infinitely small tube so yea all you’d see is a dot. We see a from upper dimensions.

[@hlouis729]

@@QuikVidGuy yea they can see a infinitely small dot but, it is so small that it is basically nothing or as you said darkness

[@hlouis729]

@@YyoavV if you cannot see the front, back, top, bottom and sides of an object is 3D, so you cannot see a line in 1D :3

[@sirfloppy]

You think he lost, but actually he was just playing 5d chess.

[@EmmaHopman]

While we were playing 4d checkers

[@evahxh]

i may have fucked up bad, but im really just playing 1258285929582057204740017453792d chess

[@brainmind4070]

He was playing KZbin viewers.

[@loganroman5306]

Nononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononono.

[@enlightedjedi]

Well guys, chill out and then let's talk about fractal dimension :)! 6.28d chess anyone?

[@dimitarnikolov3527]

4D chess is fun, but 1D chess is for the real pros

[@ryanalving3785]

Checkmate in 0 moves

[@alvarodm]

-1D chess 😂

[@alexzander3198]

“Shut the box” is not really but sort of kind of what a version of 1D chess would be like.

[@hankhill5913]

@@stevenjohnson2273 you're joking right? Please tell me you just didn't get the joke. Please. My faith in humanity can only be pushed so far.

[@laikaperraespacial6025]

Knights are like why i am alive

[@genericsidecharacter8915]

The No Game No Life opening at the end is done in such great taste. Some could say, it is a 4D chess move. But seriously, imagine “ “ playing this.

[@mementomori7160]

Yeah,『 』should play it

[@firstnamelastname7244]

@@mementomori7160 how about the 《 》

[@bruhmodeactive3211]

@@mementomori7160 how the hell did you do you that

[@apartofme]

@@bruhmodeactive3211 typing 『』is truly one of life's great mysteries

[@chenmarkson7413]

⁣

[@XtraSamurai]

"I am 4 parallel moves ahead of you".

[@dimagamolya6084]

This 4D chess concept is actually really interesting, with some refining the game could be much more balanced and fun.

[@doctorpanigrahi9975]

No, Chess is already very complicated.

[@MalcolmBlk]

Mating in 4d chess would be close to impossible if not actually impossible, since you'd need to cover all possible squares for the king to retreat in all dimensions.

[@lekkobot]

@@MalcolmBlk the best way to combat this would be to stop calling mate, allowing people to win by surprise

[@MalcolmBlk]

@@lekkobot I'm assuming you meant "stop calling check". This is against chess rules and would make a lot of chess tactics useless.

[@lekkobot]

@@MalcolmBlk honestly when you add two dimentions to chess you're probably just going to have to throw out the rulebook and create a new game based off of chess

[@williamosman]

I think my brain melted

[@alienworm1999]

wait a minute your the guy who does the thing in the place

[@Lucas_Middleton]

I wach your chanal

[@supremeleadersnoke2246]

Your brain melted a long time ago

[@fitrikay3844]

will, your brain probably melted a while back already

[@imzulhu7545]

you should play..... lol

[@ManoredRed]

You can represent 4D chess in 2D too, though. In this case, instead of having just a line of boards representing the third dimension, you'd have a grid of boards, with one axis of the grid representing dimension 3 and the other representing dimension 4. And you can repeat the process to achieve any number of dimensions you want, the number of boards used just keeps getting more absurd. If you think of the grid of boards described above as a single 4D board, and make a line of such boards, you can achieve dimension 5. Turn that line into a grid, and you have dimension 6. Now you have a 6D board and by making a line of that you get dimension 7. You get the idea by now.

[@utkarshlunagariya1102]

There would come a point where all these boards would cover a stadium and the game would go on for weeks

[@maclee5381]

We can take it one step further and flatten everything to 1D. That's literally how ndarrays are represented in computer memory. The next problem is whether we choose Fortran or C ordering for the indices.

[@starpetalarts6668]

iirc what you are describing is dimension 5 and only dimension 5 what you are describing as dimension 6 and so on are offshoots of the universe within dimension 5. Which is in fact a game of 5D Chess with Multiverse Time Travel.

[@ManoredRed]

@@starpetalarts6668 Nobody said anything about time travel or alternate universes. You can create an infinite number of dimensions of space, which is what I am doing.

[@starpetalarts6668]

@@ManoredRed Dimensions of space don't work like that when you separate them from each other there's not an infinite amount of options; those are finite based on the dimension they're within. That is something determined by our relative field of view. Flattening a dimension only works if it is a higher dimension, all dimensions above our own still follow that logic. IF there were an infinite volume of coordinate options then we would have an infinite amount of dimensions to work with. Pretty much we create the 4th dimension as a representation in 2D with 16 boards to represent the 4 dimensional direction the pieces move... as in your example. But then what direction are we going with another additional dimension? We go vertical: up, down, Horizontal: forward, backward, sideways, and then the diagonal for the third dimension... but then we add the 4th dimension to be able to go inward and outward. We have an infinite level of points and vertexes but we don't have an infinite level of directional inputs. IF we were to go into different points in time: Past, Present, and Future... we have an additional dimension to play with. Which is why we get the next step of chess: 5D with Multiverse Time Travel. What you are talking about for an infinite amount is an infinite amount of grids/matrix to represent a dimension. Theoretically we can have an infinite level of chessboards but we cannot rearrange them in such a way to represent another dimension beyond space-time.

[@theFLCLguy]

I would love to see what grand masters of 4D chess would be like.

[@dgarrard100]

I'm imagining the Guild navigators from _Dune._

[@theFLCLguy]

@@dgarrard100 more like some 9 year old asian kid with over controlling parents. "You became grandmaster of 3D chess? Not good enough, you need to master 4D chess!"

[@darkthunder301]

Physics Teacher: "Ok class, you have a choice for your final assignment, either take a written test, or beat me in 4D chess."

[@brittanynguyen3794]

4d... anything is better then a test.

[@aetherian_wolf]

seriously man. it's take a test or beat me with the chesseract.

[@franciasii2435]

I'd play 4d chess. I'm willing to bet my luck that I would slip up and win.

[@Aeopulus]

BaRs

[@god_of_creativity]

I'ma challenge a physics teacher to 4d chess when I become a higher than average player in it.

[@anasguesmi8423]

there is a game called 5D chess you can move to the past and make a new timeline or create a timeline like 4D chess but instead your brain gonna snap out of existance

[@MatheusOliveira-dk9zq]

my brain was confused at 3d chess and broke at 4d chess, now that is something that would take years to someone to start to comprehend

[@Jpx0999]

@@MatheusOliveira-dk9zq i did in less than 5 minutes Serious

[@Sarah12471]

@@MatheusOliveira-dk9zq yea seems much easier when you just... Play it

[@Dfl_jason]

5d chess? There's already 7d chess but i like 6d chess more.

[@dekippiesip]

Well actually 5D chess is just 4 of these sets of 4 next to each other lol.

[@stevemc01]

For anyone like me who has a brain that took hours to process this: 4D chess simply allows a piece to move up and down too, not just to the sides (no diagonal moves allowed, though). So a knight could go up or down two platforms then shift to the left, right, front, or back square on that platform it lands on.

[@ldefranco873]

you are describing 3D chess

[@stevemc01]

@@ldefranco873 I mean straight up, not forwards.

[@giin97]

@@stevemc01 forward/back, left/right: standard 2D chess. Forward/back, left/right, up/down: 3D chess. Forward/back, left/right, up/down... In/out??: 4D chess

[@stevemc01]

@@giin97 For/Back L/R U/D... and I think the last dimension is simply the ability to advance into other dimensions. It sounds weird, but I guess that's how it works... Each board is one dimension and I guess the ability to transcend into another dimension like that counts as a dimension in itself. According to the little info blurb in "5D Chess with Multiverse Time Travel", the 5 dimensions used in the game are as follows: 1D length 2D width 3D unused dimension 4D time *5D ability to visit other dimensions* Or something along those lines...

[@darkener3210]

"Thanks Diana, for kicking my but in a direction I can't even comprehend." - Allen Pan 11:32

[@josh-e-boi5683]

Im only slightly dissolved that you didnt call it a "chesseract"

[@aidenwebbe6290]

7:08

[@rebeccakonze5644]

Mr Josh I'm not feeling so good...

[@shawon265]

And now I feel irritated...

[@thesaurusakasickakatheomc7688]

I had to scroll down entirely too far to find someone making this joke.

[@cosmicknight2171]

Lmao

[@blakehawkins3296]

Imagine trying to actually get a checkmate instead of just ending at a concede

[@darthnosam3313]

I don’t think we could actually comprehend as humans the complexity of such a task

[@EcclesiastesLiker-py5ts]

It's irritating to get a checkmateat endgame boardstate in 2d, God help us if we have to do it in 4d.

[@TheKamiBunny]

With 2d chess you're trying to trap the king by limiting its moves with either it's own pieces or the attack paths of your own. 4D chess is basically the same and isn't too difficult once you grasp the movement paths.

[@otsegoudead]

@@TheKamiBunny Exactly, I'm pretty sure that with a couple dozen games played you could grasp the movements of the pieces well enough to force checkmates. What would be exciting to see is how the Scholar's Mate would look like in 4d chess.

[@TheKamiBunny]

@@otsegoudead I think that the potential positions for the queen to end up in scholars mate increases by 2 lanes in 4D due to the 2 extra dimensions. It also means the covering bishop or knight can be in many more permutations. The issue I have is I'm not sure how the knight moves through space and time, or how castling works. What I'm wondering is if fool's mate is still possible in this version of chess. I guess if it's possible it should be called colossal fool's mate.

[@Cyberian_Khatru]

"It's perpendicular" No, it's orthogonal.

[@StrangeIndeed]

what`s your favorite fruit?

[@soggybread4083]

@@StrangeIndeed amphetamines

[@sirshotty7689]

@@soggybread4083 same

[@HXD007]

@@StrangeIndeed joe

[@mambojambo4870]

@-HxD- Mama

[@jasonlai763]

That anime bit was 100% a No Game No Life reference

[@physicsgirl]

That anime sequence!! Haaa!! Allen It was so good. This was the weirdest and (don’t tell the other ‘tubers) most entertaining collaboration I’ve ever done. We played chess in more than 2 dimensions for what, 8 hours? I LOVED IT. Maybe because I won...

[@Picklericksin]

5 d chess

[@sheikranl3949]

That would be a tesseract from tesseracts. I don't know if my brain can comprehend that...

[@MrWest...]

Shipping it

[@MrWest...]

Oops! She's gotta boyfriend

[@hilo154]

Make a quantum 4d chess

[@Gunbudder]

This is an amazing representation of a 4th dimension. Chess is perfect because movement in the game is discrete and not continuous. This makes it super easy to visualize and understand. The problem with looking a tesseract and thinking about moving around with a 4th dimension is that you can't conceive of a continuous motion from one 4d coord to another.

[@ilmaio]

Oh yes, super easy indeed. I do it all the time after finding alternate proofs of the Rienmann conjecture, before breakfast.

[@gonb5434]

lol, i guess it is simpler than the utter brainmeltery that is trying to think of 4d movement in the real world tho

[@davonbooker2752]

In straight lines yes not so with a curve.

[@classy962]

Did this show up in everyone's recommendation after 2 years?

[@StrangeIndeed]

what's your favorite movie character?

[@zionestes4852]

...maybe

[@YyoavV]

yes

[@maniacminer9693]

Yes and where did the pieces start for 3d chess?

[@dilliard9647]

Yes

[@Bbbbbx]

Chess: not updating* This guy: fine, ill don't myself.

[@BlueEyes-WhiteDrag0n]

Irony is you used *Asterik* which is used to show a correction of word for your prior mistake and still couldn't type shit Like Thes Like This*

[@asdfoifhvjbkaos]

@@BlueEyes-WhiteDrag0n shut up

[@gonb5434]

says the guy who spelled asterisk "asterik"

[@VujaDeGaming]

The No Game No Life intro earned my like

[@sett1583]

Now its gone 😭

[@r3ll282]

@@sett1583 why?!?!?!?!?

[@Astral_Drago]

That plus the 4th wall part afterwards got mine.

[@thatguyfromhighschoolthatn7655]

I’m late as hell but I HAVE to point this out. The bit where he’s catching her is almost completely ripped from the monogatari series. Specifically the first episode of the first instalment, Bakemonogatari.

[@bearreichert5340]

YES ANOTHER FUCKING WEEB

[@hitzcritz]

You're watching... Someone playing 4-Dimensional chess In a 3-Dimensional world From a 2-Dimensional screen wItH yOuR 1-dImEnSiOnAl bRaIn

[@1d10tcannotmakeusername]

Actually, the human brain is 11-dimensional.

[@1d10tcannotmakeusername]

@@Chad_Eldridge I actually heard something on the internet about how the human brain operates on an 11-dimensional system.

[@1d10tcannotmakeusername]

@@Chad_Eldridge Can't really remember, but it was a news site of some sort.

[@hitzcritz]

@@1d10tcannotmakeusername According to string theory, there are 10

[@1d10tcannotmakeusername]

@@hitzcritz I think there's at least 12

[@ryanmiguelconcepcion7787]

alan: lets make an anime op but chess in 1 week also alan: fuck it steal some scenes from monogatari

[@Ecktor]

In 4D chess you can knock over a piece that knocked over one of your pieces or even check-mated you before it has done so, but after the fact, like in a pile-mechanic scenario. You can prevent moves your opponents made before by acting now, but onto a past state of the board, so it becomes a game of retconning the opponent in 8x8x8 grid.

[@samtorres6233]

You guys should play this out on a popular street and see how many looks you get

[@PwnzorProductions]

I would love to see Magnus Carlsen play a game of 4D chess.

[@akaegotist]

What about 4d quantum chess

[@plazmafield]

@@akaegotist haha, that would be great, I wonder if even he would choke

[@PhillipAmthor]

I bet magnus continuously backflips while playing blindfolded 4d quantum chess against 27 people at the same time

[@ncm2738]

Vs Garry Kasparov!

[@franciscogerardohernandezr4788]

Magnus plays string theory chess. Blindfolded.

[@bradby5340]

I can’t even play normal chess. WTF

[@ma13Lp]

I feel ya

[@dilliard9647]

Noob, just get gud

[@starmangalaxy2001]

When showing the moves in 3d I immediately understood them because it's basically how 5D chess with Multiverse Time Travel handles the moves of it's pieces.

[@emotionaljackfruit]

Now I can lose in 4 Dimensions!!! _Sobs_

[@nywl5126]

Don't worry... At least you can win in a game where you get the lowest score!

[@BenziLZK]

Don't worry, if you always lose, you will not being here as you were not born. Glad yourself winning the game of death with your hundreds millions of 'siblings'.

[@zeyy84]

Sobs in 4 dimension

[@TheDisorganizedNerd]

@@nywl5126 PLAY ME

[@UnknownRager96]

How do you make words slanted?

[@Yhsanave_]

Getting checkmate in 4d chess might not even be possible assuming both players are trying to avoid being mated. If you compare it to a random walk, an experiment where you choose a direction at random and move a set distance in that direction, you start to see why. In a 1-dimensional random walk, you tend to return to your start point because you only ever have 2 possible moves. This is also true in a 2-dimensional walk (assuming you can't move diagonally) where you have 4 possible moves. However, once you reach higher dimensions, the number of possible moves expands exponentially so you quickly reach a point where you are less likely to undo your original moves (returning to the starting point) than you are to move further away. PBS Infinite Series has a video on random walks if you want to learn more. This principle of exponentially expanding moves also applies to chess. In order to get checkmate, you need to attack the king's square and all spaces the king could move to. This means that in a hypothetical 1D chess game you need to attack the king and the squares on either side for a total of 3 squares. This continues as we go up in dimensions with the maximum number of squares you need to attack being equal to 3^n where n is the dimension. In classic 2D chess, you need at most 9 spaces (3^2). In 3D chess, you'd need to simultaneously attack up to 27 spaces (3^3), and in 4D chess, you'd need to attack a whopping 81 spaces (3^4) simultaneously, all while your opponent can actively change which spaces you have to attack. Just for fun let's calculate the number of possible board states, there are 4^4 (256) spaces and 96 (48 per side) pieces in the ruleset you used in the video. Using the piece distributions and board from the video, we can calculate that there are over 2.68x10^112 possible arrangements of pieces. And that's only the ones where you have all the pieces still in play. Just writing out the equation to calculate the number of possible states would take hours if not days. The length of that equation would be about 94^10 times as long as the equation I linked below. You would need a supercomputer to analyze every one of these arrangements in order to find out if any were checkmates and even if you found one, you probably wouldn't be able to set it up in an actual game while your opponent was trying to stop you. Here's the math for the possible arrangements of pieces if anyone is interested: www.wolframalpha.com/input/?i=(256+nCr+17)*(239+nCr+17)*(222+nCr+4)*(218+nCr+4)*(214+nCr+4)*(210+nCr+4)*(206+nCr+4)*(202+nCr+4)*(200+nCr+2)*(198+nCr+2)*197*196 I might try writing a python script later to generate the equation to calculate the total arrangements with pieces being captured if anyone is interested.

[@CZTachyonsVN]

sign me up!

[@dandanthedandan7558]

All I wanted to do was to surf the comment section for funny comments about people's brains melting but instead I got thought in both calculus and computer programming I didn't read it all so I'm probably speaking nonsense I don't know what to what to what to say anymore aaaaa

[@darkionx]

Allen has to read this

[@ianwise2457]

wow, very interesting!

[@jetison333]

That's all assuming the king isn't against a wall somewhere. Which, admittedly, doesn't make it much better

[@okalsdi]

Nice! This helped me in understanding the concept of 4D

[@QuikVidGuy]

"here's the moves for the other pieces" King: F O R T R E S S

[@viscountrainbows6452]

4D Chess sounds neat and all, but 5D Backgammon is the truest game of kings.

[@kingofgames-sq6ks]

No, you peasant it is 4D sudoku

[@blakewerner5466]

I think you mean 6d chutes and ladders

[@kingofgames-sq6ks]

@@blakewerner5466 but we can all agree 3D Minecraft is for the gods.

[@blakewerner5466]

king of games yes I can agree

[@tealblade2994]

@@blakewerner5466 you fool, everybody knows that 7-dimensional tic-tac-toe is the true god of board games

[@Vortex-zb6be]

What if I want to play 4d kahoot

[@lordhector2814]

4D chess, I sleep. 4D KAHOOT, W O K E

[@a_prsn]

Wait, can't you just tape 6 phones on a cube to do that?

[@Tote_Mich]

Nah Man. That’s only 3D. You gotta build some shit like Minecraft before it’s 5D.

[@theone-sidedcoin9602]

You need to calm down before the Illuminati shows up

[@amandablair1945]

Harvard would like to know your location

[@Currywurst-zo8oo]

I learned that you can represent 4D chess in a much better way with a flat 2D board. You just have a 16x16 board thats partioned into the 4x4 boards. It sounds counter intuitive but because of the limited movement of the chess pieces their movement in the 2D representation is somewhat similiar to straight lines again.

[@thebluebird7632]

Can't wait for a 5D chess tutorial

[@roland4240]

Teseract to 3D shadow to 2D screen, but to be transfered to the screen it has to be reduced to 1D by representing it with binary code.

[@trentinstudios]

💀

[@Azurade]

it's a chesseract edit:they stole my joke

[@goatnoodles9162]

k

[@funiedit5029]

sure

[@Azurade]

Afif Hakimi I actually came up with it while watching the video and before it was shown in the video. The edit was just for humour

[@Azurade]

「 」 what comment

[@nicolasmoonlit8109]

In Russian language "chesseract" will look like "шахматоракт" or "shahmatoract" in transliteration. (Sorry for my weird English)

[@happynows]

I appreciate the ngnl op in the background at the end

[@svt9480]

I subscribed! You guys are great! And somewhat funny... I wanted to learn how to play 3-dimensional chess but watching you guys play 4-dimensional chess was more entertaining. 😂 Thanks, I needed this.

[@i_shoot_stuff]

You could wire it with leds that light up the available movements to be sort of a tutor

[@Cadwaladr]

I like that idea, but it would also need to sense the location of each piece, and what type of piece each one was, and then it would need buttons or something to select which piece's potential moves you want to look at. Not impossible, I'm sure, but fairly complicated.

[@SUPERMAR10312]

He would likely need to use rfid chips to identify each piece and its location.

[@dandanthedandan7558]

I like this idea. But at the same time, my brain is too mush to praise you so have my like.

[@tijsp.8162]

I Shoot Stuff THAT'S AMAZING I'm going to try to make that now Or at least make a game out of it

[@skullcrushers1000]

Just needs to know starting positions, be able to tell when a piece gets picked up, use 3d computing to know which spaces are options, and then light up the spaces available. Sound difficult at first, but doesn't seem like it'd be that hard.

[@toothlessblue]

New project: Program a four dimensional chess board and make an AI play each side.

[@kostasgeorgiou2417]

Do you have github? I'm in

[@danielbyrne5782]

Hell yeah add me on discord

[@grantstenger6182]

So game as well. Building general chess ai's rn github is gstenger98!

[@sixty502]

I’m SOOO in!

[@Smoth48]

If this actually goes down someone please drop the Github link lol

[@kopaxson5202]

That was incredible holy shit. great breakdown of how to do this and how it works. Love it

[@tubularjay]

BETH HARMON WHERE YA AT! ITS 2021, WELCOME TO THE FUTURE! #Queen'sGambit

[@AlcorSalvador]

I have a slightly easier solution. Only have one 3D Chess Board. We replace the black and white spots for the Board Zones. You have Blue, Green, Yellow, and Red in a 2x2 square. The White Zones are Brighter versions of the Color, and Vice Versa. Each piece stands in a corner of their Zone to signify which Dimension it's in. Profit

[@All-shall-say-Jesus-is-Lord]

Color for the 4th dimension is a great idea!

[@AlcorSalvador]

@@All-shall-say-Jesus-is-Lord Thanks

[@birdsarentreal3054]

Actually it's such an amazing idea

[@nanamacapagal8342]

That's 5 dimensions...

[@smugsenko]

would show possible attacks much simpler. so many ways to structure 3d+ chess!

[@roguehivemind4396]

this reminds me of the board game from the anime "Kekkai Sensen" that becomes more complex the longer you play

[@DickMuncher84]

kekkai*

[@rogue2945]

Hello fellow Rogue.

[@mueezadam8438]

Rogue HiveMind what episode? Sounds interesting

[@Ene-Chan]

@@mueezadam8438 3

[@jdmyrick-smith7931]

Or suburb from homestuck

[@djalexander968]

i was gonna rag on you abt how that was 3d chess until you pulled out the beast, makes me excited to learn how to play XD, either way definitely earned a sub on this one

[@Niccolonic]

Not only does this sound fun and nerdy, but it looks super super cool and futury

[@WoodByWright]

Where can I get the print files or buy a set? that is crazy sweet!

[@thecrazedchef7278]

I'm still waiting on the ice king crown

[@WoodByWright]

@@thecrazedchef7278 LOL yes. there is a title in the description but no link to it.

[@oberonsol6508]

lol i actually so would buy this *.*

[@WoodByWright]

@@oberonsol6508 I know right!

[@admiralepic1357]

Allen needs to start selling his stuff

[@liuxzhao2010]

I’m calling it There’s gonna be a sport anime based on this

[@myar4931]

I would _so_ watch that.

[@ethanuyeda8731]

Love the No Game No Life reference song near the end! Great reference!

[@yarrow7574]

*changing* *dimensions?* *MADE* *IN* *HEAVEN!*

[@chitranshtiwari7429]

Very well now invent 5D chess.

[@christianszczepanik4738]

then it should be not 4 towers in a row of 4 diagonal planes but 4x4 towers with those planes :)

[@derekrodgers7366]

@@christianszczepanik4738 following the order of things in this Video, it would be (4) 5D objects represented in 4D, or (16) 4D objects represented in 3D... Which is what I supposed your 4x4 comment is saying? Not to mention laying those out on the XY axis would be a nightmare to play on.

[@TheDisorganizedNerd]

Done 4 4d chess sets yea I invited it

[@giordihero]

with this method you can actually go up with any amount of dimensions. It will just get exponentially more complicated

[@spartanwar1185]

I don't think we can do that in 3D You're asking to represent a dimension 2 dimensions ahead of us

[@RobertMilesAI]

It's more fun if you make one of the dimensions actually be Time, so you can move pieces into past or future turns of the game. I wrote a rule-set for that, never built it physically though. scribd dot com/document/151074661/Time-Chess

[@Schindlabua]

Fancy seeing you here :D Slightly off topic but there is judochess.com which is chess in real time. I've tried it but the only people on there are the ones who've played it a million times so you just get crushed every time ¯\_(ツ)_/¯ Also, what a cool topic to pick for a bachelor's thesis!

[@fgvcosmic6752]

Question, how does one move back in time?

[@Bogenisgreat]

Where can I get the program?

[@vuudi]

daaamn, 74 pages of computer science and math, but you got the word "bachelor" wrong on the front page. (Batchelor)

[@danielcatlett3845]

You should definitely hit us up with the program

[@havel6060]

For some reason i had a yt recommendation on this video today, i can see potential for a new generationof chest. Instead of moving like the 4d in video, we can have like a 3d layer tower on 2 sides as a strong hold, and a middle board act like a battle field board which is just normal flat zone, which act like a traditional chest. 2 sides will start at their own strong hold on top floor, pawns can beplaced either in their 2nd floor stronghold(which suitable for defending since attqck side cannot move up floor without entering the lane first) or outside the first lane of the field. All chest pieces will be stopped once they cross another lane (like a queen can move freely, but if she enter another lane, she will be stopped atthe first lane) to give room and balancing, andif there are more than 4 chest pieces from one side of the battle field, the other side can not enter the stronghold lane, except for the queen or the knights.

[@BlueThunderFox]

* When they get to 4D chess * Now try to think 3 moves ahead...

[@canos9649]

"Soooo do you wanna make a Video about 4d chess with me?" "Yeah that sounds cool" "Do you mind if I just throw in a random chess anime intro wich will make us look like a couple?" "What?"

[@MlMZY630]

To be clear, the protagonists in No Game No Life, the opening they are parodying) are brother and sister, and NOT in relationships, and DEFINITELY not incestual. Great anime, though you won't like it unless you're deadened to some of the clichés.

[@PseudoWounds]

@@MlMZY630 The song is from No Game No Life, but most of the animation sequences were taken from Bakemonogatari, such as the girl falling. And the 2 characters from that series are, indeed, a couple. He took it specifically from this scene: kzbin.info/www/bejne/o5upcpSBj9mAY6c fantastic anime, btw.

[@canos9649]

@Pseudo Wounds I totally knew that.. maybe.

[@Meverynoob]

@@MlMZY630 also spoiler alert, unless you watched the movie They're the reincarnations of lovers. Plus, they can't stand being separated. Sora even has to be nearby when shiro bathes.

[@MrQwerty2524]

@@MlMZY630 I can't even watch anime as a whole anime because of cliches...

[@kiyan5340]

It actually seems like a good representation of 4D for humans. Each section of the board is a 3D portion of the universe that cant directly see what's in the next section, but can see a shadow of it (a single square) that they can move to. Once you travel in a 4D direction you can move around in the new 3D like normal.

[@pahvalrehljkov]

yea i agree 100%...

[@thefourthdymensionmusic]

the interesting thing, is if you look at it from the perspective of a conceptual (and potentially real) fourth dimensional being, they can see in this fourth dimension. they wouldnt be able to tell that they are in a third dimensional space. really if you think about it as if its string theory, all they would see is just what is right infront of them. and right behind them. cause if there is a second dimensional world overlapping our third dimensional world, then how come we cant see it? and what would it be like?

[@adrianhieber2230]

The most popular 3d chess is of course the star trek variation. But the one you referred to, is something similiar to Raumschach, invented by a german doctor. Its a 5*5*5 board and because there is a new way to move, he created a piece named unicorn. I read his paper about it (Yes he was obsessed with his invention and even created a club for it) and I would recommend it, that you just build your own board (with thin wooden sheets its not that hard). Its really fun and if you get used to it, you can beat somebody who is a master in normal chess really easy, because its so different.

[@null3007]

I would love to see 2 computer AI play against each other in 4D chess. No offence to the humans but I definitely feel like there was a lot of checks that went unnoticed. Also, seeing a checkmate occur rather than just resigning would be a lot cooler imo.

[@g1aciate723]

Me: hey bro wanna play a board game? Bro: yeah sure what game... is.. it... Me: 😏

[@bunnybro5977]

Interviewer:So what's your spacial awareness? Diana: yes

[@Omena0]

There might not be 4d chess, but there is "5d chess with multiverse time travel"

[@benstevens44]

I was worried you weren't going to make it to "chesseract". You got there. Splendid.

[@andrewscott7728]

There is an episode where Data loses a game of 3D chess to Deanna Troi because she makes an "intuitive move" that isn't researched and wasn't expected. And I was so mad about it that I apparently kept that anger 20 years to vent it here in this forum. Ahhhhhhhhh!!! Side note: I would watch Sufficient Girl

[@ojsojs246]

forum? was this copied from a forum?!?!?!

[@andrewscott7728]

@@ojsojs246 message board?

[@ojsojs246]

@@andrewscott7728 ? (and did you like your own reply?!?!)

[@ww-pw6di]

@@ojsojs246 youtube (and comments) used to be referred to as a forum back in the day but, the comments section is by definition a message board which is basically a forum lacking some features that you'd expect from a forum.

[@keiyakins]

Spock loses to Kirk and claims the winning move was "illogical" in the VERY FIRST EPISODE OF TOS.

[@i_shoot_stuff]

A Chesseract if you will

[@denmartorlanda]

66th like

[@Aslyuriel]

Thank you so much

[@connorbaldock4054]

Fuck, beat me to it

[@emc246]

Yes, we will.

[@AndyChamberlainMusic]

he annotates that in the video...

[@randolphschreiner4479]

Hey, this is really amazing. It would be tough being the smartest person around. Tough to find people who can teach you something.

[@LeonHartMedina]

Someone coughing every second in the 4th dimension for these professionals.

[@ashtonhoward5582]

Remember kids: if there's an infinitely big 3D wall in your way, just walk around it!

[@sechmascm]

move to when it wasn't built, cross the line then move back to your present and continue

[@ErikB605]

@@sechmascm You can't move around a Cube using time aka. the forth dimension. You cant move around a dot on a line. You can`t move around a plane in a cube. And if you want to move around an infinite 3Dimensional object you will much in the same pattern need at least 5 dimensions to walk around.

[@LostOter]

@@ErikB605 this assumes the cube is infinite in all directions, then it would indeed form an infinite "plane" in 4D space. If it is just an infinite 3D wall though (inifinite in two directions, but finite in the third), then you would be able to move around it in 4D space. this would be analogous to an infinite 2D line with finite width in 3D space.

[@yourfurnace7576]

@@ErikB605 time is not the 4th dimentsion. imagen it as a 2d character. u can go left and right. but u have no idea what the fuck up or down is. the 4d dimension we have no idea what direction the 4th dimension is. same situation for poor little 2d person who cant comprehend the 3d diemension.

[@FireyDeath4]

Hoooooooold on. Do you mean like a solid, surcellular realm?

[@EvanAndKatelyn]

Our condolences about getting murdered by Dianna! ☠️⚰️... a moment of silence... but ahh LOVE the anime intro sequence, so perfect! Now we're trying to brainstorm some excuse to make one too lol 😋

[@EvanAndKatelyn]

p.s. just noticed your shirt ❤️ Steven Universe

[@WoodByWright]

@@EvanAndKatelyn Hey guys! I would love to see your take on this one!

[@lv4759]

if you have 16 3x3 boards and put them in a 4x4 matrix is it then 5d chess?

[@potentiallyunaffiliated4285]

@@lv4759 yes that is exactly how to do 5d chess

[@washinthewind]

I'm pretty sure "because we want to" is a good enough excuse. If not...maybe a sho shugi ban video? Or a shoji screen?

[@llamamazing3253]

This man is a genius. He played the NGNL op during the sponsorship to appease my anime brain enough to watch the sponsorship.

[@ASHB0RN69]

NOOOOO WAYYYYY HE ADDED NO GAME NO LIFE OPENING SONG AS OUTRO SONG 😭 I AM GONNA CRY

[@paigelove2666]

Speaking as a lover of both chess and math, I have to say there's a bit of an inconsistency here. From 2D to 3D, you extrapolated that 8^2=4^3, and that chess could therefore be played on a 4x4x4 space, with 32 pieces total, 16 on each side, 8 on each individual 4x4 plane. However, these rules went out the window for the 4D variant. The 4D variant was just 4^4, which represents much more squares than classic chess. Furthermore, the piece counts were completely off, with some 2D planes having 8 pieces, and some having 4. This is not only a poor way to extrapolate chess to 4D, it also requires more chess sets. In order for a multidimensional chess variant to be valid, it needs to maintain the same y for z=log base x of y, where z is the dimension of the chess, y is the number of squares, and x is the number of squares on any given side. Furthermore, only positive non-zero interger solutions can exist for this, as playing chess on fractional squares is even more nonsensical. 2D chess can be expressed as 2=Log base 8 of 64, and 3d chess can be expressed as 3=Log base 4 of 64. There is no way to represent chess for 4=log base x of 64 with intergers. The next valid chess variant would be 6D chess, where 6=Log base 2 of 64. An alternative approach would involve Shogi, Japanese chess. Japanese chess is played on a 9 by 9 board, with 20 pieces a side. Shogi can be represented as 2D, wherein 2=Log base 9 of 81. 3=Log base x of 81 has no interger solution, BUT 4=Log base 3 of 81 is valid! And it's actually fairly easy to picture, because unlike in the video we're not being asked to 4D picture 256 squares. We're still picturing the same number. 3^2 is 9, working us with 3 by 3 planes. 3^3 means we're picturing a 27 square cube. Imagine a rubik's cube, and you're good to go. 3^4 means we have 3 27 square cubes, each perpendicular to each other. Set up, we have the traditional shogi set up just cut up slightly. Kings start on the middle plane of their cubes, with bishop below for player 1 and above for player 2, vice versa for rooks. Rules wise for Shogi, stuff gets interesting. Any piece can promote into a Gold General, with the exception of the Gold, King, Bishop, and Rook, when it hits the opponent's starting cube. Any piece can be placed on any square as a move after its been captured from an opponent. The knight, which is allowed to move 2 squares forward in the direction of the enemy king followed by one square perpendicular to the king, implies that on the x and z (across planes) axis, it can go one square +or-, whereas on the y or w(across cubes), it must cumulatively move 2 closer to the enemy king. This comes out to moving the knight's legal move options from 2 to a lot more. It can move either forward by 2 squares or 2 cubes, and then either left or right or up or down. That's... oh that's 8 moves. Still a much more powerful piece now. Pawns and lances have similar rules. Pawns cannot move on the x axis. As such, in shogi, they would move one space along the wyz axis, approaching the enemy king's starting plane. At least, we'd think so, but then we'd have two pawns in a file, as moving a pawn up a plane would have it join another pawn on the same file, and two pawns in a file is not allowed. So, we can conclude that the pawn also cannot move across the Z dimension, and that dropped pawns cannot be in the same columnplane as another pawn, but the same rowcube is fine. However, since pawns start at the 3rd row of each cube, pawns at the start can only proceed cubes "forward". Once captured, pawns have a wider range of movement. Silvers move diagonally, that is to say moving with a change of two axes by 1, or they move orthagonally forward. Now, this gets tricky to translate.Essentially, now instead of changing both x and y in one direction, you change 2 of the following: w, x, y or z, OR, you increase y or z but keep the other values the same. Essentially you can move it to orthagonal equivalents on different planes and cubes, diagonal equivalents on the same plane, or otherwise total equivalents that have proceeded closer to the king in either plane, or column. Golds move one square orthagonally, or any square forward diagonally. That means 1 change to any of wxyz in any direction, or two changes in directions that approach the value of the enemy kind across yzw. Now, this wider range does give the silver more reach than the gold, but the gold still has the luxury of covering more squares + than the silver does, as well as being able to retreat without giving up significant axes. Kings of course change either one or two of wxyz. Rooks move by increasing one value of WXYZ as much as they want, so long as they're not moving over any other piece. For instance, a rook on cube 1 plane 2 square 22 (the starting square), could capture the enemy rook on turn one, but not if there was a piece on cube 2 plane 2 2 2. A bishop is actually a ridiculously powerful piece, able to change two of any 4 wxyz values as much as they want, so long as both are changed by the same amount and no other value is changed. A bishop in the center of plane 2 cube 2 has 24 moves available, whereas a rook only had 8. Of course, blocking rules still apply. Because each plane is 3 by 3, promoted Rooks or Bishops become nearly identical, with only distinctions when they're considering moving across multiple planes/cubes/planecubes in one move. Overall, the game becomes absurdly volatile, with bishops and rooks vulnerable to each other from the first moves, and knights able to give checks on turn 1.

[@ashtonhoward5582]

Your concluding statement was exactly what I was thinking, except I didn't do whatever the hell you did to figure it out. Also, checkmate is nearly impossible (according to someone you'd need to control 81 spaces to put the opponent into checkmate, when there's less than 100 pieces per player).

[@paigelove2666]

That statement actually has multiple severe flaws, especially in the context of how it would be applied in Shogi, where pieces can be placed on any unoccupied square after you've captured them from an opponent, as a move. If the king's in the bottom left of the starting cube, height 1 length 1 width 1 cube 1, the king has 3 squares on the plane, three on the plane above, and one on a different cube. That's only 7 moves total. Further, with pieces having many more squares they have control over, mating a king is actually fairly easy regardless of how many pieces there are.

[@ashtonhoward5582]

@@paigelove2666 I was just parroting what I heard

[@josephoyek6574]

too op, plz nerf...

[@blessedbackpack7540]

yes.

[@mechagoblin8768]

I liked the No Game No Life opening.

[@InventingThings]

It was such good quality too!

[@anthonychan2034]

With some Bakemonogatari mixed in at the end lol

[@gooddog6745]

no shit.

[@reizayin]

The OP is good, but i prefer the ED.

[@tykarulobano7060]

I kinda wish i had that chess set the pieces look pretty slick

[@Leonlion0305]

This reminds me of Kekkai Sensen. And of course the bgm to go along with this episode is NGNL opening lol

[@tintin1222]

New level of chess: 4D ches !! Asian : *Heavy breathing*

[@dakotamcbride7075]

Chess

[@danrandom9005]

@@4n4rch1st7 yes bc anime

[@calibursatsujin3112]

*nAH MaTE 13 D ChEsS*

[@lawrencerutherford4260]

just imagine a chess anime where the dimensions of the boards just keep increasing until they are literally using the 12th dimension and no one knows what is happening

try the 10 dimension chess your head will hurt..

[@renniewhite5693]

Wait.. So they’re playing in 4-D on a 3-D plane, which we are perceiving on a 2-D plane... 🤯

[@g1aciate723]

Me : *head explodes*

[@ChinmayMurthyX220]

isn't it in a 3d SPACE?

[@stevenle9960]

Error 404

[@luongmaihunggia]

Dude Allen told you to not to think too much about it. Didn't you listen?

[@durrbird5844]

goddamnit

[@Justanotherpsychopat]

I don't know how to play chess in 4D, but I can recognize a scene from Bakemonogatari no matter how many filters and effects you put it through.

[@dietwald]

I don't "like" many videos, but this is worth one.

[@TiagoTiagoT]

The directions in 4D are Up/Down, Forward/Backward, Left/Right, and Ana/Kata

[@medleyshift1325]

That was a fun wiki worm hole, but i'm sticking to Rimward and Hubward

[@logosimian]

That needs chaging to ana/conda.

[@medleyshift1325]

@@logosimian brilliant!

[@Dargonhuman]

@@logosimian But only if there are buns/hun.

[@TheClari25]

What is ana/kata?

[@cloroxbleach7554]

1:28 Castle to E4 *Confused chess player screaming.*

[@LeventK]

Same

[@opemipo5559]

Game might be in the endgame 🤷🏿‍♂️

[@markenangel1813]

when he says "castle" to E4, he means rook to E4

[@QuikVidGuy]

@@markenangel1813 Rook to Knight's Queen 6!

[@dilliard9647]

Saddness

[@shatteringeye999]

Allen: Is trying his best to explain it. Me: *Internal Screaming*

[@waveflunktion]

How were the cubes for the 4D board made? I'd LOVE to try and make this for myself one day.

[@DuckODuckProductions]

"Kicking my butt in a direction I can't even comprehend" LOL ! Great vid! Good comedy!

[@caffeecup5319]

So if they can play a 2-D game in 4-D... Is it possible to play 4-D chess in 8-D?

[@000Dragon50000]

NO GODS PLEASE NO

[@matron9936]

Illusionist Kyouko any d in any d>=3

[@bowserwithpants9764]

_lad_

[@diskdem0n]

FBI OPEN UP

[@daylenhigman8680]

So i think that would be 16 bords

[@idonthaveskill5054]

Nice choice using the No Game No Life theme at the end there

[@CrazyNerdInventor]

Dad: are ya winnin' son? Son: I don't know dad

[@hornet4571]

Chess (for me): 2D: Challenging 3D: Headache 4D: wtf im done.

[@mihaip1179]

After move 3 (Knight to c 3 delta II), black could have maybe exchanged the rock for the knight in two moves and gain a bit of advantage

[@britishjack9931]

5D: KILL ME

[@haloslasherepicmcdoings2983]

6D: *Enters a coma* 7D: *BLOWS UP*

[@winningsmilefan4888]

@@haloslasherepicmcdoings2983 8 died twice

[@sussyman4362]

Him : how to play 4d chess Me not even knowing how to play regular chess : WHAT IS THIS ROKET SCIENCE?

[@obsidiandragon1385]

Please rocket science is easy (Apparently according to my uncle)

[@dilliard9647]

@@obsidiandragon1385 It is tho

[@airnomad2650]

It's easy to learn the rules, the techniques need mastering though

[@B58-Minecraft]

In 1000 years or more, we will finally have an actual 4D chess, where you will need to change your w axis coordinate by certain movements.

[@JaredConnell]

@@obsidiandragon1385 rocket science is simple, it isn't brain surgery after all.

[@travisfoster7829]

I think the best explanation for the forth dimension is time. So you think of each 3d board separated by one minute. So each piece can move in its dimension and it can move through time. The pawn and king can only move through one minute of dimension while the Queen and castle can move time completely in one direction.

[@gamma8gear]

The knight is in interesting character since it is not known if it has movements in other dimensions. Its like the square root of 4 can be -2 or 2. It is not known for sure unless you know the answer. Is the knights movements (2,3,0,0) or (2,3,z,t) where z and t are some integer and so what are they? Or can you only shift the 2 and 3 once across the different axis?