How to Play 4D Chess
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- Опубликовано: 10 сен 2024
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Welcome to 4d chess, where you have to convince the other player about the legality of your move every turn.
Now it makes sense why people call politics 4D chess all the time.
Now make it quantum too with superposition and entanglement
Including observation paradox and others
@@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"
@@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
This should be an international competition and the winner gets the title, "Grandmaster of the 4th Dimension"
*stifles laughter*
I'm going to win that title
That would make me instantly want to play this
Most underrated comment of the decade
@@Lord_Asshat and yet nobody has commented on how hilariously my name relates to said comment.
i wonder how many checks happened that weren't even thought of
I guess we need to replicate the game to other people.
Probably none
@@LiminalHorror where
watched it like 7 times i counted 260 uncalled checks and there was actully a point he could of check mated her
To be fair, I could see that 3d chessboard being something that people could legit buy.
i would play 3d chess tbh
They do sell them. I played one in primary.
Sheldon has one on Big Bang theory.
and all you gotta do is buy 4
@@dekustick6870 8 actually if you want a cube
5th dimensional beings watching this be like “bruh, those guys are so bad”
Just wait for chess gods to call each other boys as an insult
noobs can't even manipulate time and space smh
nah, they just noobies.
i wanna see a 6d chess, that be cool
5d chess is just 4d chess with time travel no ones played 5 spacial dimentional chess
You think he lost, but actually he was just playing 5d chess.
While we were playing 4d checkers
i may have fucked up bad, but im really just playing 1258285929582057204740017453792d chess
He was playing RUclips viewers.
Nononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononononono.
Well guys, chill out and then let's talk about fractal dimension :)! 6.28d chess anyone?
This 4D chess concept is actually really interesting, with some refining the game could be much more balanced and fun.
No, Chess is already very complicated.
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.
@@MalcolmBlk the best way to combat this would be to stop calling mate, allowing people to win by surprise
@@lekkobot I'm assuming you meant "stop calling check". This is against chess rules and would make a lot of chess tactics useless.
@@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
+ 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.
*Yes*
Kekkai Sensen in a nutshell
rooms*
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.
in a world where 14th dimensional chess could exist, string theory would be a valid idea.
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
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
@@MatheusOliveira-dk9zq i did in less than 5 minutes
Serious
@@MatheusOliveira-dk9zq yea seems much easier when you just... Play it
5d chess? There's already 7d chess but i like 6d chess more.
Well actually 5D chess is just 4 of these sets of 4 next to each other lol.
4D chess is fun, but 1D chess is for the real pros
Checkmate in 0 moves
-1D chess 😂
“Shut the box” is not really but sort of kind of what a version of 1D chess would be like.
@@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.
Knights are like why i am alive
I think my brain melted
wait a minute your the guy who does the thing in the place
I wach your chanal
Your brain melted a long time ago
will, your brain probably melted a while back already
you should play..... lol
1 dimensional beings watching this be like: Impossible, all i see is a dot.
@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
@@hlouis729 one dimensional people only see darkness...
or old apple computer graphics, I'm not sure which one's funnier
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.
@@QuikVidGuy yea they can see a infinitely small dot but, it is so small that it is basically nothing or as you said darkness
@@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
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...
5 d chess
That would be a tesseract from tesseracts. I don't know if my brain can comprehend that...
Shipping it
Oops! She's gotta boyfriend
Make a quantum 4d chess
Physics Teacher: "Ok class, you have a choice for your final assignment, either take a written test, or beat me in 4D chess."
4d... anything is better then a test.
seriously man. it's take a test or beat me with the chesseract.
I'd play 4d chess. I'm willing to bet my luck that I would slip up and win.
BaRs
I'ma challenge a physics teacher to 4d chess when I become a higher than average player in it.
Im only slightly dissolved that you didnt call it a "chesseract"
7:08
Mr Josh I'm not feeling so good...
And now I feel irritated...
I had to scroll down entirely too far to find someone making this joke.
Lmao
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.
6D chess: BOY
1D Chess is the thought at the back of your head
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
1d chess would have to have the pieces moves so altered that it becomes a different game entirely
6D Chess: Turning other people into the war & spreading like a virus.
7D Chess: Everything is war, whether it's alive or not.
You're watching...
Someone playing 4-Dimensional chess
In a 3-Dimensional world
From a 2-Dimensional screen
wItH yOuR 1-dImEnSiOnAl bRaIn
Actually, the human brain is 11-dimensional.
@@Chad_Eldridge I actually heard something on the internet about how the human brain operates on an 11-dimensional system.
@@Chad_Eldridge Can't really remember, but it was a news site of some sort.
@@1d10tcannotmakeusername According to string theory, there are 10
@@hitzcritz I think there's at least 12
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.
Oh yes, super easy indeed. I do it all the time after finding alternate proofs of the Rienmann conjecture, before breakfast.
lol, i guess it is simpler than the utter brainmeltery that is trying to think of 4d movement in the real world tho
In straight lines yes not so with a curve.
Imagine trying to actually get a checkmate instead of just ending at a concede
I don’t think we could actually comprehend as humans the complexity of such a task
It's irritating to get a checkmateat endgame boardstate in 2d, God help us if we have to do it in 4d.
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.
@@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.
@@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.
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.
Yeah,『 』should play it
@@mementomori7160 how about the 《 》
@@mementomori7160 how the hell did you do you that
@@bruhmodeactive3211 typing 『』is truly one of life's great mysteries
You guys should play this out on a popular street and see how many looks you get
The No Game No Life intro earned my like
Now its gone 😭
@@sett1583 why?!?!?!?!?
That plus the 4th wall part afterwards got mine.
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.
YES ANOTHER FUCKING WEEB
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.
sign me up!
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
Allen has to read this
wow, very interesting!
That's all assuming the king isn't against a wall somewhere. Which, admittedly, doesn't make it much better
"I am 4 parallel moves ahead of you".
I would love to see Magnus Carlsen play a game of 4D chess.
What about 4d quantum chess
@@akaegotist haha, that would be great, I wonder if even he would choke
I bet magnus continuously backflips while playing blindfolded 4d quantum chess against 27 people at the same time
Vs Garry Kasparov!
Magnus plays string theory chess. Blindfolded.
What if I want to play 4d kahoot
4D chess, I sleep. 4D KAHOOT, W O K E
Wait, can't you just tape 6 phones on a cube to do that?
Nah Man. That’s only 3D. You gotta build some shit like Minecraft before it’s 5D.
You need to calm down before the Illuminati shows up
Harvard would like to know your location
Now I can lose in 4 Dimensions!!!
_Sobs_
Don't worry... At least you can win in a game where you get the lowest score!
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'.
Sobs in 4 dimension
@@nywl5126 PLAY ME
How do you make words slanted?
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.
There would come a point where all these boards would cover a stadium and the game would go on for weeks
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.
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.
@@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.
@@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.
4D Chess sounds neat and all, but 5D Backgammon is the truest game of kings.
No, you peasant it is 4D sudoku
I think you mean 6d chutes and ladders
@@blakewerner5466 but we can all agree 3D Minecraft is for the gods.
king of games yes I can agree
@@blakewerner5466 you fool, everybody knows that 7-dimensional tic-tac-toe is the true god of board games
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
Color for the 4th dimension is a great idea!
@@All-shall-say-Jesus-is-Lord Thanks
Actually it's such an amazing idea
That's 5 dimensions...
would show possible attacks much simpler. so many ways to structure 3d+ chess!
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.
💀
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.
you are describing 3D chess
@@ldefranco873 I mean straight up, not forwards.
@@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
@@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...
it's a chesseract
edit:they stole my joke
k
sure
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
「 」 what comment
In Russian language "chesseract" will look like "шахматоракт" or "shahmatoract" in transliteration.
(Sorry for my weird English)
You could wire it with leds that light up the available movements to be sort of a tutor
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.
He would likely need to use rfid chips to identify each piece and its location.
I like this idea. But at the same time, my brain is too mush to praise you so have my like.
I Shoot Stuff THAT'S AMAZING I'm going to try to make that now
Or at least make a game out of it
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.
"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?"
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.
@Pseudo Wounds I totally knew that..
maybe.
@@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.
@@MlMZY630 I can't even watch anime as a whole anime because of cliches...
@@MrQwerty2524 I'm gonna be that guy to say that you just haven't watched enough. It's impossible to avoid cliches altogether, but some anime like "Haikyuu!" are doing good job in avoiding them. For example, there are many "hype" moments that don't end well for the protagonists, and winning/losing aren't seemingly predetermined save for some key matches., just like in the real world. "Sakamoto desu ga" offers refreshing take on the comedy genre, although it becomes a cliche of its own after a while. "Arslan Senki" and "Suisei no Gargantia" have good storytelling, some cliches but mostly aren't "anime" cliches. Finally, there's the kinda-out-there titles like "Hataraku Saibou".
So there are good pieces out there, you just gotta find them. If you've only been exposed to the ex-big 3, Boku no Hero, SAO, and especially Fairy Tail and Dragon Ball, then ofc you'll get tired of the cliches.
I would love to see what grand masters of 4D chess would be like.
I'm imagining the Guild navigators from _Dune._
@@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!"
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
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!
Question, how does one move back in time?
Where can I get the program?
daaamn, 74 pages of computer science and math, but you got the word "bachelor" wrong on the front page. (Batchelor)
You should definitely hit us up with the program
New project: Program a four dimensional chess board and make an AI play each side.
Do you have github? I'm in
Hell yeah add me on discord
So game as well. Building general chess ai's rn github is gstenger98!
I’m SOOO in!
If this actually goes down someone please drop the Github link lol
this reminds me of the board game from the anime "Kekkai Sensen" that becomes more complex the longer you play
kekkai*
Hello fellow Rogue.
Rogue HiveMind what episode? Sounds interesting
@@mueezadam8438 3
Or suburb from homestuck
"It's perpendicular"
No, it's orthogonal.
what`s your favorite fruit?
@@StrangeIndeed amphetamines
@@soggybread4083 same
@@StrangeIndeed joe
@-HxD- Mama
Me: hey bro wanna play a board game?
Bro: yeah sure what game... is.. it...
Me: 😏
Wait..
So they’re playing in 4-D on a 3-D plane, which we are perceiving on a 2-D plane...
🤯
Me : *head explodes*
isn't it in a 3d SPACE?
Error 404
Dude Allen told you to not to think too much about it. Didn't you listen?
goddamnit
Very well now invent 5D chess.
then it should be not 4 towers in a row of 4 diagonal planes but 4x4 towers with those planes :)
@@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.
Done 4 4d chess sets yea I invited it
with this method you can actually go up with any amount of dimensions. It will just get exponentially more complicated
I don't think we can do that in 3D
You're asking to represent a dimension 2 dimensions ahead of us
"Thanks Diana, for kicking my but in a direction I can't even comprehend." - Allen Pan 11:32
I’m calling it
There’s gonna be a sport anime based on this
I would _so_ watch that.
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.
yea i agree 100%...
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?
So if they can play a 2-D game in 4-D...
Is it possible to play 4-D chess in 8-D?
NO GODS PLEASE NO
Illusionist Kyouko any d in any d>=3
_lad_
FBI OPEN UP
So i think that would be 16 bords
That anime bit was 100% a No Game No Life reference
Where can I get the print files or buy a set? that is crazy sweet!
I'm still waiting on the ice king crown
@@thecrazedchef7278 LOL yes. there is a title in the description but no link to it.
lol i actually so would buy this *.*
@@oberonsol6508 I know right!
Allen needs to start selling his stuff
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 😋
p.s. just noticed your shirt ❤️ Steven Universe
@@EvanAndKatelyn Hey guys! I would love to see your take on this one!
if you have 16 3x3 boards and put them in a 4x4 matrix is it then 5d chess?
@@lv4759 yes that is exactly how to do 5d chess
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?
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.
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).
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.
@@paigelove2666 I was just parroting what I heard
too op, plz nerf...
yes.
Did this show up in everyone's recommendation after 2 years?
what's your favorite movie character?
...maybe
yes
Yes and where did the pieces start for 3d chess?
Yes
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
forum? was this copied from a forum?!?!?!
@@ojsojs246 message board?
@@andrewscott7728 ?
(and did you like your own reply?!?!)
@@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.
Spock loses to Kirk and claims the winning move was "illogical" in the VERY FIRST EPISODE OF TOS.
Remember kids: if there's an infinitely big 3D wall in your way, just walk around it!
move to when it wasn't built, cross the line then move back to your present and continue
@@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.
@@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.
@@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.
Hoooooooold on.
Do you mean like a solid, surcellular realm?
A Chesseract if you will
66th like
Thank you so much
Fuck, beat me to it
Yes, we will.
he annotates that in the video...
Chess: not updating*
This guy: fine, ill don't myself.
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*
@@BlueEyes-WhiteDrag0n shut up
says the guy who spelled asterisk "asterik"
New level of chess: 4D ches !!
Asian : *Heavy breathing*
Chess
@@4n4rch1st7 yes bc anime
*nAH MaTE 13 D ChEsS*
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..
Interviewer:So what's your spacial awareness?
Diana: yes
I liked the No Game No Life opening.
It was such good quality too!
With some Bakemonogatari mixed in at the end lol
no shit.
The OP is good, but i prefer the ED.
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.
Chess (for me):
2D: Challenging
3D: Headache
4D: wtf im done.
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
5D: KILL ME
6D: *Enters a coma*
7D: *BLOWS UP*
@@haloslasherepicmcdoings2983 8 died twice
If only the grandmasters and international masters play this kind of monstrosity.
"Chess Tesseract"
Ch...
Chesseract
edit: oh he says it in the video
I can’t even play normal chess. WTF
I feel ya
Noob, just get gud
I love 5D chess with multiverse time travel, it's one of my favorite games (and even though the name says it's 5D, it's actually 4D)
Not to be THAT guy but time is a dimension since it signifies a point of location like how the other dimensions do. It's just that it's based on Time and not distance
@@thekirbycrafter7229 time is already used in one of the 4 dimensions. (remember, you can go back in time and all just like if it was any other dimension). So you get 2 dimensions for the board, 1 dimension for time, 1 dimension for the parallel boards, adds up to 4.
If you added multi verse time travel to this would it be 6d?
@@brokoblin6284 No, the multiverse part is one D added to 3D and the time travel part is another D added to 3D, adding up to 5D in total. Even though normal chess is played in 2D it could be considered 3D because an actual chess board with chess pieces is a 3D object.
@@telnobynoyator_6183 with that logic you're still adding just 2ds to it unless you're saying it would have 7 dimensions? Which would be wierd since xy&z are all already a counted for. But idk I haven't gotten to those levels of math or science class yet.
The games already 4d, so multi verse makes 5 and time travel makes 6
The directions in 4D are Up/Down, Forward/Backward, Left/Right, and Ana/Kata
That was a fun wiki worm hole, but i'm sticking to Rimward and Hubward
That needs chaging to ana/conda.
@@logosimian brilliant!
@@logosimian But only if there are buns/hun.
What is ana/kata?
1:28 Castle to E4
*Confused chess player screaming.*
Same
Game might be in the endgame 🤷🏿♂️
when he says "castle" to E4, he means rook to E4
@@markenangel1813 Rook to Knight's Queen 6!
Saddness
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.
Imagine playing anything less than 5D underwater blindfolded inversed backgammon
Ow.
"Did we just anime"
*a weeb foming at the mouth,
Perhaps...
most likely
they changed the song for that part, it used to be "this game" aka no game no life opening
I wonder that I had to scroll that far to read a comment like this.
@@r3ll282 also the last part of it was a Bakemonogatari anslue
@@zekiz774 it was legit plagiarized animation from the first episode of Bakemomogatari. It’s so obvious, too - it doesn’t match with the animator’s scribbles. Stuff like this makes me so mad. I’m glad someone noticed.
"Kicking my butt in a direction I can't even comprehend" LOL ! Great vid! Good comedy!
alan: lets make an anime op but chess in 1 week
also alan: fuck it steal some scenes from monogatari
Him : how to play 4d chess
Me not even knowing how to play regular chess : WHAT IS THIS ROKET SCIENCE?
Please rocket science is easy (Apparently according to my uncle)
@@obsidiandragon1385 It is tho
It's easy to learn the rules, the techniques need mastering though
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.
@@obsidiandragon1385 rocket science is simple, it isn't brain surgery after all.
I love how they used the no game no life opening song with the drop scene from bake monogatari
This 4d Staple Game
Only ppl who know anime openings will get this
7:15 that dolly zoom really messed me up
Something just came to mind. An official 3D or 4D chess game would probably need to introduce new pieces that could move three or four degrees of diagonally, like how a bishop moves in a combined two directions, have a new piece that has to move in three directions. However, this would also give more mobility and power to the queen.
You can technically represent an infinite number of dimensions on which to play chess using that method. If you array the 3D boards in a 4x4 square, you are able to represent a 5D game, if you arrange that array vertically above each other you can create 6D, and then if you arrange that stacked array in a line you're representing 7D, then a square 8D, then another cube 9D etc.
It would get so utterly confusing by 9D that for most people it would be unplayable. Also, obtaining checkmate, even in 3D is hard I do not wish to contemplate it so if someone doesn't resign when they are well down, the game will continue for a very, very long time.
Also, you would need some way to easily represent the movement because traditionally we only need numbers and letters but for more dimensions, we need to find more characters or write something like 4.BwCx2yAz4
He did use a bit of a different system when playing the 4d chess for coordinates. He said stuff like 2 spaces regular forward and 1 space 4d forward 8:36 7:37
I'd try 12-dimensional chess.
Maybe use capital and lowercase Greek letters, or roman numerals
the construct itself would be cumbersome and awkward after the 6th dimension
@@scottb9997 but you'd also be playing n≥6D chess, so it's worth it for bragging rights...
Can we get to see the full uncut footage of the match?
Assault butter knife with tactical grip No because they probably faked most of it, and dude made a pass at physics girl that was shot down.
@@brainmind4070 what makes you think that they faked it?
jetison333 Because I assume they're two busy people just trying to put a video together, not take all day actually playing a competitive game of 4D chess. If they actually played a full game, I doubt they (he) actually took it any more seriously than enough to get footage. I threw that other bit in for humor value, but I wouldn't doubt if it's true. He's kinda acting a little deferential toward her. Maybe it's for the camera or the fact she's a guest he's acting that way, but I have my suspicions based on plenty of experience witnessing such behavior.
@@brainmind4070 i personally, if i went through all the effort to actually make such a board would definitely play at least one game on it, even if it was with someone I disliked. I don't see why Allen and physics girl would be any different
You would sit through that
that's a really cool idea, in fact with this concept you could go infinite, you just have to re-use distincly one of the 3 existing dimension you put 4 board to simulate the 4th dimension re-using a flat dimension, but if you put 16 board you could use both flat dimension and you'll be in 5d, if you use 64 board you can re-use all 3 dimension or just add another flat dimension you'll be in 6d, but 4d already seem to be very hard.
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.
When you cheat and your enemy notices two bishops of yours are on the same field-color. WELL THIS TIME IS YESTERDAY! IN 4-D CHESS YOU CAN EXCUSE :' ))
i need a better visual guide of how pieces can move, and then i want to play a game, this looks fun XD (4d chess)
Check out 5d chess on steam. The bishop move as described here is questionable (colour shouldn't matter.)
I see it as u have the normal rules for each piece, except you can choose to go through the 2nd, 3rd, or 4th Dimension.
4:59
Huh, The new season of no game no life is looking pretty sweet xD
Can't wait for a 5D chess tutorial
5:00 Wait is this No Game No Life??!? *SEASON TWO FINALLY CAME*
Really?
the song was, but the animated bits at 5:16 and 5:26 are drawn over clips from the first Bakemonogatari OP.
NGNL, you mean Kaiji / Akagi / Kakegurui / any other gambling anime in less cool and less logic ? Way too much loli and echi for me, i mean, i love that but not in an anime about gambling, but meh, it's seems popular '-'
@@Test-fd2vh hating on popular things make me so cool dAmN
@@Assickles nah, i mean i like popular things like marvel films, one piece, etc. But not liking one popular thing don't make me a stupid snobby bitch. I just don't understand why this anime is more popular since it's not as good as other anime / manga about the same subject. But in the end that don't make me "cool". That's just my own state of mind. '-'
i think i am gonna play 1d chess
Same
thats just leap frog mate
I like this idea. I am a simple man myself.
You mean space hulk?
*S H U T*
7:46 - Did that rook have to build up speed for 12 hours to move along 4 parallel universes?
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.
we as a species, have gotten too bored.
This should have more like but most are just afraid of that simple truth.
Multidimensional chess is an interesting video game idea imo
5d chess is a thing on steam now.
We have advanced to another plane of existance
Sir34qqs3 god bless America
Sadly my existence is just plain, but at least it's in the 7th dimension.
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.
I LOVE HOW HE USED "THIS GAME" (no game no life intro song) AT THE END
*Magnus has entered the chat*
Magnus!
King k12 an incredible move!!!!
More like K(2,2,3,4)! there's four coordinates
Imagine the Chess tournament is like this in the future
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.
"Rebooting universe"
*pucci voice*
MAEDO IN HEBAN DA!
This comment is pretty funny.
What a wonderful world
それはジョジョのリファレンスですか?
Now imagine...
5D chess *BRAIN.EXE HAS STOPPED WORKING*
"I've got my mail in ballot" "I'm still registered in Illinois for some reason, and not California. Am I commiting voter fraud" This did not age well
Oh wow you're riiigght this is midteeerrrmmms I thought it was this election lol ...you think he fixed his address xD?
@@anonymouse7079 lol I'd hope so but not like it mattered too much
lol
Can't believe YT left this up thought they'd crucify anyone questioning with common sense the myriad examples of easy voter fraud
@@andycopeland7051 nah, because then someone else just responds that there are mechanisms in place to catch that kind of thing and that there are easy examples of them working.
This man is a genius. He played the NGNL op during the sponsorship to appease my anime brain enough to watch the sponsorship.