Imagine you wanted to fork a rook and king with your queen and you accidentally misclicked and moved your queen 27^916^839372 squares away where she was
I can already imagine how unimaginably horrifying the bishops would be, they're already invisible enough when they're just across the board, let alone across the universe
it would be kinda funny to play with multiple players on the same board with like a 10000 squares of distance between and no arrows pointing at other players. You just can randomly stumble upon other players
"I have a dream, that one day, every peice on the infinite chess board, will be judged, not by the colour of their side of the game, but by the content of their abilities" - Naviary
Smooth brain: makes extremely large moves for no reason Glowing brain: keeps moves within a reasonable space unless there's a good reason to make a large move Cosmic brain: makes moves extremely large in order to crash the program
I think there will be useful Cartesian coordinate system from the center of board where pieces initially stay. For example square E5 = 1,1 E8 = 1,4 A1 = -4,-4
Friend : this is so cool. Since you invited me to play chess you must be good right? Me : *Processes to put my Queen 4 galaxies away from where he is.*
Now I want (Im sure it exists) A chess game where the board is 2x larger...Like imagine instead of starting along the back row there were like 2 or 3 spaces behind where your piece start meaning you can get flanked or surrounded
I have an idea for a custom piece that would work off the idea of restricting your opponent's field of play. Its called "the cage." The cage can not capture pieces normally. It can move (2-10) spaces in any direction like a queen. The way the cage captures, is that it can capture any piece that is more than (50-100) spaces away from it, which at which point it takes that piece's position. It cannot be captured. There are two main points to this piece. The first is that it helps prevent infinite games, since ladder check mates dont exist how they normally do. Moving this piece away from the enemy king will ensure that they will be taken and killed. The second is to make your opponent's pieces move where and when you want them to. It enforces an idea of long distance attacks, keeping your opponent within range of this piece to make sure it doesnt take their pieces. Obviously some tweaking is needed to balance this piece, maybe make it so it cant move if its being targeted, or allowing pieces to capture it. But i genuinely think it would be an interesting piece to add, to constrict your opponent's pieces as you see fit.
Oh so this is stolen? How come his is edited but mine isn’t? Doesn’t that say that he edited his to look like mine? + even if this is stolen, I didn’t intend it to be stolen.
Well, if you got an infinite board, and pieces that move an infinite number of squares (Queen, Rook, Bishop), it's certainly possible to make more pieces with an infinite movement/attack pattern! You can also grab some inspiration of queen pieces from Ouroboros King
/add Legendary Shotgun King + Mathematician + Knight Rider + Giraffe Rider + Queen Voyager + Upgrader King + Time-travelling Checkers piece + Rule Changer To explain the joke, A legendary piece can reincarnate, shoot lasers, explode, and teleport. The Shotgun King can shoot bullets, or grab the blade. A Mathematician cannot move, but it can combine (+), split (-), multiply (*), divide movements (/) and negate (-[]) other pieces. 1. Combining, for example, a knight on a1 and a queen on a3, yields an Amazon at a5. ([C]Na1-Qa3=QNa5) 2. Splitting, for example, a queen on a1, yields a rook on a3 and a bishop on a5. ([S]Qa1=Ra3,Ba5) You cannot split pawns, bishops, knights, rooks or kings. 3. Multiplying, for example, a rook on a1 by 2 yields a rook on a5 and one on a6. ([M]Ra1-2=Ra5,Ra6) 4. Dividing the movement off, for example, and enemy queen on g7 by 4 that is about to capture our fellow mathematician at b2, makes her move to e.m5.5 instead. ([D]Qg7-4 Qb2=e.m5.5) 5. Negating, for example, an enemy rook on b8 that is about to capture our fellow mathematician at b2, puts the rook on our side. ([N]Rb8) You cannot negate kings. 6. Pieces sometimes count as numbers whose values are equal to their point values. For example, multiplying a rook on a1 by a knight on a3 yields rooks on a5, a6 and a7. ([M]Ra1-Na3=Ra5-Ra6,Ra7 A Knight Rider is a knight that can jump infinitely in one direction. A Giraffe Rider is a Giraffe that can jump infinitely in one direction. A Giraffe is a knight that moves 3 squares instead of 2. A Queen Voyager is a queen that jumps while moving. An Upgrader King is a king that can upgrade it's pieces. A Rule Changer can change the rules, from allowing out-of-board travel to changing how pieces move, to transcending the 2D chessboard and going into higher dimensions.
I think that with a so big board we could simulate a battle with infantry divisions, cavalry etc...; I hope that the board editor will soon be released because i really want to create a "realistic war layout"
@@itisALWAYSR.A. It would be a longer game that requires moving every piece to make an effective attack, or maybe it would be interesting to give players more moves in a single turn
Imagine if there were more types of pieces in infinite chess, i can think of some: Prince: the king's son, can only move 5 steps to either left right up or down, if the king is killed, the prince will become the king, therefore, to win you must kill the enemy's prince and king. Princess: moves like the queen, except she can only move 10 tiles away, if theres no prince left, she can turn a rook into a prince by touching it. She is promoted into a queen if the current queen dies (note: she loses the ability to create princes once she is promoted into a queen, or if theres no rooks left.) Cavaliers: it is like the horses but they can move further, upon defeat they drop a rook. Clown: like the rook but he can move 3 tiles up? Ballesta: cant move, and it has limited ammo, but can shoot very far to non-important pieces (which means that you cant just kill the enemy king or queen or prince or princess.), 30% chance of missing your attack Mage: slow movement, like maybe 3 or 5 tiles, but it can create a magic shield for a nearby unit to protect them (it only lasts until the next enemy turn ends)
What a creative idea. One suggestion tho: you should have an option where the arrows are in defense mode by default, but if you hold a certain button, it will show all arrows.
Another suggestion, it seems like your arrows only show the first piece it runs into along a line. You can improve this slightly by showing all pieces it lines up with, while also showing the order of which the pieces are aligned.
When he said "mate in omega" and started showing pictured of game of life style what I imagine to be PROGRAMABLE POSITIONS, now I'm starting to see why he's so excited for this.
I'm already excited for chess computers. Not computers that can compute the best move in a chess game, no. A computer built into a chess game, where optimal play leads to some calculation being done. The only problem is, I don't know how to represent state or carry out a calculation. And I'm shit at chess.
One video, and you already have hundreds of thousands of veiws, and over 2 THOUSAND subscribers? People are definitely interested in your channel. This is an awesome idea, can't wait for more!
That's a good idea! Maybe it should be an RPG too, with a hilariously in-depth crafting system and an inventory system so convoluted you can use it as a weapon?
Surely there's a way to mathematically break this, like "after simulating various infinite chess games with an AI millions of times, it discovered the best move is to move your queen to the golden ratio of the half way point of memory capacity of the renderable plane" or something like that
This might go against the spirit of this variant, but I think it would be cool to have an uncapturable piece called the "borderguard". Black has one behind the white pieces and White has one behind the black pieces. The borderguards can move up to two spaces, but only away from the center, all other pieces can only move within the bounding box spanned by the borderguards. The board would slowly expand, if the players choose so. Alternatively the borderguards could also move inwards, provided the kings stay in the playing area.
This is a really impressive project, I can tell how much work and care went into this and how much thought went into every feature. Congrats on this, you should be proud!
The queen can move to all direction, infinitely The queen has moved to one direction for infinite number of tile She never knew if she already reach the destination or not, stuck in the constant movement
@@Official-Poker Yeah, but floating point numbers are weird, and if you went a bit past 10^308, if it uses floating point numbers, you should get to infinity.
There are "golden triangles", which are made of 3 points while all 3 are infinitely far Their angles are all 0 (yes a bit non-euclidean), meaning that queen will be able to move anywhere next turn(making a 180° turn, this creating such an angle)(at least if that anywhere is same infinitely far away) Though I only did read about them in Wikipedia and don't understand how it works
I think you can add some functions ,like search pieces, go back to king view, show which grigs can A piece attack B piece. That's will be helpful when you need to move a very far piece.
1:29 Yes more variants make it more interesting 3:40 Thanks for pointing out that sometimes, the 5D time- or your infinite space travel sometimes is just needed not to be good in the game, but have fun in the game from the choice freedom curiosity. Next time, you'll need 5D timetravel on a infinite chess board. 5:04 I know clocks are supposed to be somewhat about master-ness, but I find them just anoing. For playing with friends, you want fun together, and not chasing the clock, I have enough chasing the clock in work. So thanks for the "no clock" option, it basicaly makes the 4-th, (temporal) dimension of your game, also infinite. The 3rd Dimension is my distance form the playing board, with a magic remote control, I could travel infinitly far away inside the universe and still play. But I prefer ;-D 30 to 50 centimeters, siting in front of my computer. LOL.
@@Naviaryhyper rougue is open source game/hyperbolic space engine and the engine supports many different tilings as well as continious space and time and more dimensions etc. The creator zeno would probably really enjoy a collab, he makes lots of experiments with hyperbolic (and other types) of space that he shows on his youtube channel. But if you have more than 4 polygons around a corner then the angles will be less than 90 degrees, same as in flat space. But you can have 5 or more squares around each corner with 72 degree angles. And pentagons (or other many sided polygons) can have all right angle corners with 4 (or more if lesser angle) around each corner. That would be cool!
Knight: the world is an endless expanse which I shall never reach the ends of :( Bishop: Aha! My scope has been lengthened, I am clearly the more valuable piece.
Imagine people doing this competitively: Hikaru: You blundered your rook! *takes with queen* Magnus: Actually, no my bishop from 4^12398023 squares away is defending it Hikaru: 🗿🗿
The limit is the amount of memory given out for storing the position of each piece. Piece positions are most likely stored as x, y coordinate pairs. Most likely these are JavaScript numbers (it's on a website after all) which would work in the range -2^53 + 1 to 2^53 - 1 (~10^15 by ~10^15, for a total of 2^106 - 1 or ~10^31 squares). JavaScript also has BigInts, which will grow in size to fit the number. These allow for massive numbers, with Firefox allowing for a number value up to (roughly) 2^20 (~1 million) bits in size to be stored. This allows for coordinates in the range -2^(2^20) to 2^(2^20) (~10^315652 by ~10^315652, for a total of ~2^(2^21) squares or ~10^631305 squares).* Using regular JavaScript numbers is the easier and more likely option, though. *fun fact: each piece will be using up to 256 Kilobytes (kibibytes) in just coordinates if you do this. Edit: I won't bother reversing the obfuscated code, but the save/load game function uses the standard JavaScript numbers.
What about more than two players? 4 player shouldn't be too difficult to implement but 3 player would be interesting as most boards are shaped differently. Not to mention the additional rules such as moats like in traditonal >2 player chess boards. I would love to see your take on it.
I'm so proud of myself for independently coming up with this idea some time last year, but due to being limited in my own abilities in implementation, I had to resort to using google sheets to play it with a friend yes, chess on a spreadsheet it's as jank as it sounds
You should add backward and forward arrow buttons that cycle the camera to focus on a given piece wherever they are. So Next piece/Previous piece buttons. One of each for both players, so 4 such buttons overall. You could cycle between your pieces and those of the enemy as well.
@@edomeindertsma6669 Yep that chess variant name is Trappist-1 It was designed by Vickalan Reinhart, the same guy who designed Chess on an Infinite Plane
Ideas for new pieces for this variant Cavalry: can either move one space horizontally or move verticaly any amount of spaces as desired Human chain: can move like a queen, if any pieces of the same color are directly next to the human chain they will move in the same direction and distance as the human chain at the same time all at once, you can extend the capabilities by putting many human chain pieces next to each other Musketeer: Moves like a king and take pieces in all directions in a five space range Barbarian: moves like a pawn and can take up to three pieces at the same time Jester: moves like a queen and can jump spaces
Logical next step: give each player an infinite number of those pieces which are only able to move a finite number of squares per move, to compensate for the finitely many pieces that are able to move an infinite number of squares per move.
This "mate in omega moves" is quite interesting. And it can be extended to "mate in omega x 2 moves" and "omega ^ 2 moves" and so on. Many years ago I read an article about this.
@@abellematheux7632 It was a kind of demonstration to visualise the concept of transfinite ordinal numbers (ordinal numbers bigger than infinity [or better said bigger than omega}). I wish I could find a link. At the time I read it it was an analogue printed edition.
I absolutely adore this idea, you created something that was begging to be created. I also really wonder what an infinite chess engine would look like. Do you keep track of the games played on the website? That could be very useful data
@@Naviary it'd never even get to thru first move because of how large the board is. no computer will ever be able to make it because that possibility would be astronomically high because of board size (as 64bit is already beyond quadrillion and i don't even want to think about squaring that) .
@@sonicjoplusi mean, engines right now don't look at every single move possible before making one, so i don't see why one couldn't be implemented in this mod
Hey just giving a suggestion but in this infinite chess you can make it multiplayer. It will just have pieces of normal chess and then just summon every board of people away by the area of 64. After they finish their game, they can interfere in anyone elses game and they will be considered alive till any one of their chess pieces is in the game.
What if the tiles at the very edge are always considered tile infinity? So you could have a piece on tile (infinity 6) and if you try to scroll towards it, the tile always moves with the screen. Like a pinned row or colum in excel. Then the only pieces that can be in the infinity row are things that have infinity direction capabilities. It's not much different than just going far out but it'll have the benefit of being very difficult to get to. I think only rooks or queens can easily get to them. Where bishops can only get to corner infinity (infinity infinity).
This idea does not work, because interactions between pieces which are "infinitely many" tiles away are ill-defined in this case. You would need to be more precise. Rather than having rows and columns labeled with some generic infinity, you should use ordinals to label those too, and then redefine pieces so that their movements are defined in terms of ordinal numbers. This would make a good chunk of the interactions better defined.
This is absolutely gorgeous. I’ve thought about coding infinite myself, but I couldn’t work out how to show all the pieces as elegantly and clearly as you have. I really hope this blows up.
It would be cool if there was a mode where the board is on a really big torus so if you go x spaces in one direction you'd end up on the other side of the board. The strategies for that would be wicked.
Math degree here. I'm really glad someone made this. I've been laughing my ass off at the intricacies of the mate-in-ω^4 position for about a year. For the viewer's reference: Mate-in-ω: Black chooses a finite n. The game becomes mate-in-n. Mate-in-2*ω: Black chooses n. The game becomes mate-in-ω+n. After those n moves are exhausted, Black gets to choose another n. Mate-in-3*ω: Black gets to make this choice three times now. White is a little miffed. ... Mate in ω^2: Black chooses a finite n. The game becomes mate-in-n*ω. Mate in 2*ω^2: Black chooses a finite n. The game becomes mate-in-n*ω+ω^2. After the n*ω moves are exhausted, Black gets to make a choice for ω^2. ... Mate in ω^3: Black chooses a finite n. The game becomes mate-in-n*ω^2. ... Mate in ω^4: Black chooses a finite n. The game becomes mate-in-n*ω^3.
Mate in transfinity: Black starts by choosing how many meta’s there are. Mate in transfinity^2: Black starts by choosing how many times they will make the transfinity choice. Mate in transfinity^3: same as mate in omega, but it’s the transfinity choice, instead of the normal choice. Mate in transfinity^omega: Black starts by choosing how many layers of the transfinity choices there will be. Mate in transfinity^transfinity: Black starts by choosing how many layers of layers of transfinity choices there will be. Mate in transfinity^^3: Black starts by choosing how many layers of layers of layers of transfinity choices there will be. Mate in Absolute End: Black starts by choosing how many transfinity^^3 choices there will be. By now, White will probably die irl before they finish.
What if instead of just being an infinite flat plain, the game takes place on an entire planet with buildings and shit on it? Actually, why stop there? Why not add 2 _more_ planets that have entire civilizations of the different colored chess pieces, with the Queens moved over to their respective moon? And maybe there could be a way to modify the King and Queen to make them more powerful by infusing them with random objects? Like... imagine if you could fuse the King and Queen with a harlequin doll, your dog, and a dead bird with a katana stabbed through it. That'd be rad as hell. I also think the game could use a full RPG makeover with an in-depth housebuilder, as well as an exhaustive crafting system wherein any item can be combined with any other item in multiple ways that correspond to logic gates? While we're at it, the game should have a hilariously convoluted inventory system that's so esoteric that proper use can actually turn it into a viable weapon? I dunno, I just think this would make Chess (or maybe billiards too, if you're playing alone?) way more interesting.
Now add a Battle Royale multiplayer mode. Get like 10 players in 1 room and each player must survive against everyone else. Depending on total players in the world, make it so you can toggle between traditional turn base or Timed moves. Timed moves makes it so everyone moves 1 piece at the same time. Timed Moves has a 1 minute timer before the moves happen, so it adds doing nothing as a potential option. Of course if every player makes a move, the turn will initiate immediately instead of waiting the full minute.
This is so well made, I love it! A very interesting concept with an excellent execution. One day you'll have thousands, if not millions of subs, that of I'm sure. Continue in what you do, it's great :3 I'd love to talk to you sometime, you seen as a great person, have a great rest of the day and much luck in your surely successful youtube career :3
just imagine this game in real life, there would be a whole giant island for the board and for some moves it would take hours or more to move around the board, so golf carts would be used
It's actually not infinite. You can move through time and timelines as long as there are boards. A time travel is limited on how many turns have been played or how many timelines have been created. You can't time travel infinitely. Dont get me wrong, the game is huge of possibilities due to the constant growth of the board, but it doesn't have infinite space as portrayed here. Also as a note, at a high level games don't pass the turn 50 due to the nature of the game, I think here it would definitely be common to pass turn 50 for sure
@@LosBROSPQR i also havent gone passt move 50 becuase the game either crashes from not loading/finding legal moves or i give or get accedently checkmated lol
its kinda weird to think that in infinite chess, the bishop rook and queen technically TECHNICALY all have the same value because they move the same amount of squares (infinity) in total
I wonder what challenges this variant has for chess engine development. First thing that comes to mind is many positions have literally infinite number of legal moves so enumerating all legal moves in a traditional sense isn't really possible.
Join the official Infinite Chess discord server! Discuss your thoughts on the game, and get help finding a match! discord.gg/NFWFGZeNh5
Add a find and move pieces & pawns features for ♾️ chess for goodness sake!
@@Jared7873 ^
7:14 when you want to activate perspective mode but you're in padania:
How to see coordinates of pieces when making moves?
Will be interesting that idea in a hiperbolic sphere..
Imagine you wanted to fork a rook and king with your queen and you accidentally misclicked and moved your queen 27^916^839372 squares away where she was
I hate it when that happens
Chess in real life be like:
A comment that made me laugh today.
Or if the square was guarded by an intercontinental ballistic bishop
too relatable 😢😢😢
"Why isn't it checkmate?"
The bishop from 10^10^10^10^100^1000 kilometres away: 🗿🍷
Хахахахахахах
such and r/anarchychess comment
this is why bishop is better than knight
yes
sniping is a good job mate
I can already imagine how unimaginably horrifying the bishops would be, they're already invisible enough when they're just across the board, let alone across the universe
Ain’t no way
bishops are worth slightly more than rooks in a human's game
@@greenpizza2819 they are not worth more than a rook.
@@nomakappa2889 i was joking because of diagonal blindness they are much more tricky
The bishop from 20 miles away
it would be kinda funny to play with multiple players on the same board with like a 10000 squares of distance between and no arrows pointing at other players. You just can randomly stumble upon other players
my god, a chess mmo!
Yes
Open world chess
Just like that Chess Backrooms level
Chess battle royal
"I have a dream, that one day, every peice on the infinite chess board, will be judged, not by the colour of their side of the game, but by the content of their abilities" - Naviary
Don't fuck with this senator
Smooth brain: makes extremely large moves for no reason
Glowing brain: keeps moves within a reasonable space unless there's a good reason to make a large move
Cosmic brain: makes moves extremely large in order to crash the program
Bro really typed images
@@-.Calico.- The image of the black man gasping in shock, eyes widened, mouth opened and both of his hands touching the back of his head.
@@zerointerest9297the image of me
@@-.Calico.- image of two reddit moderators pointing at something
God brain: sends out bishops extremely large distances, so that when an unsuspecting piece gets in range they go all the way back and take the piece
Imagine playing blindfold chess like this
“Queen to X:74020 Y:37290”
I think we really need coordinate input for moves
@@arcturuslight_ Maybe a dedicated tab for a list of all the pieces’ coordinates would be nice.
I think there will be useful Cartesian coordinate system from the center of board where pieces initially stay.
For example square E5 = 1,1
E8 = 1,4
A1 = -4,-4
@@grixmyron7637 the game already has coordinate indicator at the top, we just need an input
@@grixmyron7637check ur math
Now, the bishop from a billion kilometers away is no longer an inside joke
Imagine checking the king by using a queen and then a rook from 10^748^28826 away captures your queen
@@somedude1072 "Why isn't it checkmate?"
The bishop brom JTO 93095849:
@@somedude1072It's always a bummer when it happens 😔
it's now an outside joke
Outside the box joke lol
Friend : this is so cool. Since you invited me to play chess you must be good right?
Me : *Processes to put my Queen 4 galaxies away from where he is.*
LOL😂😂😂😂😂😂😂😂
LOLOLOLOLOLOL AHAHAHAHA
she*
@@tippysoniczxarch3145 it’s 2023 and close to being 2024, how am I supposed to know their gender?
@@Gloomdwellerfighter*Ze
I have always wanted this, ever since playing my first game of chess. Thank you for finally making Chess 2. This is a dream come true.
oats jenkins: *Have you forgotten me?*
imagine the fear you may experience when your opponent says "you fool! you've walked right into a forced mate in omega!"
Stockfish be like “Mate in א1”
@@U-PN-BI-IBWWrong, the mate counter is only an ordinal number, and not a cardinal.
@@MichaelDarrow-tr1mn Your humour counter is negative
@@MozartAmadeus-fm5dd show your work on your math
@@MichaelDarrow-tr1mnstockfish be like 'Mate in ω_1'
Finally the first chess cosmic horror game.
Nah it's the second one. The first is 5D Chess with Multiverse Time Travel.
@@alvianekka80 *An infinite plane is way more horrifying and dreadful than simple timespace/dimension travel*
Now mix them together.
@@iamme2739 using a rook from an alternate timeline to stop the queen attack the king 27^9605781 squares away
@@blueninja4615 Exactly.
Chess: having moves more than the atoms in the universe
Him: chess is limited
Most chess games tend to be boring
@@ESALTEREGOskill issue tbh there's a reason chess survived for thousands of years
well, now you have infinite moves though
@@colten7525 gm games are boring there's not enough stakes
@@ESALTEREGO no way you just said that 💀
Now I want (Im sure it exists) A chess game where the board is 2x larger...Like imagine instead of starting along the back row there were like 2 or 3 spaces behind where your piece start meaning you can get flanked or surrounded
When I work on the board editor, I will include void squares, which means you could make any shaped board you like!
I have an idea for a custom piece that would work off the idea of restricting your opponent's field of play. Its called "the cage."
The cage can not capture pieces normally. It can move (2-10) spaces in any direction like a queen. The way the cage captures, is that it can capture any piece that is more than (50-100) spaces away from it, which at which point it takes that piece's position. It cannot be captured. There are two main points to this piece. The first is that it helps prevent infinite games, since ladder check mates dont exist how they normally do. Moving this piece away from the enemy king will ensure that they will be taken and killed. The second is to make your opponent's pieces move where and when you want them to. It enforces an idea of long distance attacks, keeping your opponent within range of this piece to make sure it doesnt take their pieces.
Obviously some tweaking is needed to balance this piece, maybe make it so it cant move if its being targeted, or allowing pieces to capture it. But i genuinely think it would be an interesting piece to add, to constrict your opponent's pieces as you see fit.
My opponent: Why isn’t this checkmate???
My bishop 2M squares away:
*Did you forget I existed?*
Stolen
@@poatatoooo nah
common stolen comment L
Oh so this is stolen? How come his is edited but mine isn’t? Doesn’t that say that he edited his to look like mine? + even if this is stolen, I didn’t intend it to be stolen.
@@nnop513 imagine being a pawn in infinite chess......
the pawn must be like : eNd ME plZzz
Well, if you got an infinite board, and pieces that move an infinite number of squares (Queen, Rook, Bishop), it's certainly possible to make more pieces with an infinite movement/attack pattern! You can also grab some inspiration of queen pieces from Ouroboros King
Maybe one like the archbishop, amazon or even the nightrider
/add Legendary Shotgun King + Mathematician + Knight Rider + Giraffe Rider + Queen Voyager + Upgrader King + Time-travelling Checkers piece + Rule Changer
To explain the joke,
A legendary piece can reincarnate, shoot lasers, explode, and teleport.
The Shotgun King can shoot bullets, or grab the blade.
A Mathematician cannot move, but it can combine (+), split (-), multiply (*), divide movements (/) and negate (-[]) other pieces.
1. Combining, for example, a knight on a1 and a queen on a3, yields an Amazon at a5.
([C]Na1-Qa3=QNa5)
2. Splitting, for example, a queen on a1, yields a rook on a3 and a bishop on a5.
([S]Qa1=Ra3,Ba5)
You cannot split pawns, bishops, knights, rooks or kings.
3. Multiplying, for example, a rook on a1 by 2 yields a rook on a5 and one on a6.
([M]Ra1-2=Ra5,Ra6)
4. Dividing the movement off, for example, and enemy queen on g7 by 4 that is about to capture our fellow mathematician at b2, makes her move to e.m5.5 instead.
([D]Qg7-4 Qb2=e.m5.5)
5. Negating, for example, an enemy rook on b8 that is about to capture our fellow mathematician at b2, puts the rook on our side.
([N]Rb8)
You cannot negate kings.
6. Pieces sometimes count as numbers whose values are equal to their point values.
For example, multiplying a rook on a1 by a knight on a3 yields rooks on a5, a6 and a7.
([M]Ra1-Na3=Ra5-Ra6,Ra7
A Knight Rider is a knight that can jump infinitely in one direction.
A Giraffe Rider is a Giraffe that can jump infinitely in one direction.
A Giraffe is a knight that moves 3 squares instead of 2.
A Queen Voyager is a queen that jumps while moving.
An Upgrader King is a king that can upgrade it's pieces.
A Rule Changer can change the rules, from allowing out-of-board travel to changing how pieces move, to transcending the 2D chessboard and going into higher dimensions.
yeah knight, hawk and guard are BASICALLY USELESS here
I think that with a so big board we could simulate a battle with infantry divisions, cavalry etc...; I hope that the board editor will soon be released because i really want to create a "realistic war layout"
A battle with infantry divisions, cavalry etc, but only one person can walk forward at any given time 👀
@@itisALWAYSR.A. It would be a longer game that requires moving every piece to make an effective attack, or maybe it would be interesting to give players more moves in a single turn
Isn't there a chess game (that doesn't have an infinite board) with customizable pieces and boards?
@@aeea3306Chess Evolved Online?
100 v 100 turn based where each person controls 1 pieces that all have unique movement
Imagine if there were more types of pieces in infinite chess, i can think of some:
Prince: the king's son, can only move 5 steps to either left right up or down, if the king is killed, the prince will become the king, therefore, to win you must kill the enemy's prince and king.
Princess: moves like the queen, except she can only move 10 tiles away, if theres no prince left, she can turn a rook into a prince by touching it. She is promoted into a queen if the current queen dies (note: she loses the ability to create princes once she is promoted into a queen, or if theres no rooks left.)
Cavaliers: it is like the horses but they can move further, upon defeat they drop a rook.
Clown: like the rook but he can move 3 tiles up?
Ballesta: cant move, and it has limited ammo, but can shoot very far to non-important pieces (which means that you cant just kill the enemy king or queen or prince or princess.), 30% chance of missing your attack
Mage: slow movement, like maybe 3 or 5 tiles, but it can create a magic shield for a nearby unit to protect them (it only lasts until the next enemy turn ends)
This is absolutely one of the best concepts and videos i've seen in several years.
Imagine this combined with 5d chess with multiverse and time travel
me time travelling 1739272^2727281 tiles away on turn 1:
That's Dirty Deeds Done Dirt Cheap
@@apokalypthoapokalypsys9573 jojos reference
@@Jay2480 with a bishop
YO 69 LIKES
What a creative idea. One suggestion tho: you should have an option where the arrows are in defense mode by default, but if you hold a certain button, it will show all arrows.
Another suggestion, it seems like your arrows only show the first piece it runs into along a line. You can improve this slightly by showing all pieces it lines up with, while also showing the order of which the pieces are aligned.
I have a hotkey right now for toggling the mode- tab!
@@danielyuan9862 try it buddy and you'll actually see what's missing
When he said "mate in omega" and started showing pictured of game of life style what I imagine to be PROGRAMABLE POSITIONS, now I'm starting to see why he's so excited for this.
I'm already excited for chess computers. Not computers that can compute the best move in a chess game, no. A computer built into a chess game, where optimal play leads to some calculation being done.
The only problem is, I don't know how to represent state or carry out a calculation. And I'm shit at chess.
One video, and you already have hundreds of thousands of veiws, and over 2 THOUSAND subscribers? People are definitely interested in your channel. This is an awesome idea, can't wait for more!
Imagine how cool it would be if you could do something like build structures, kind of like a chess survival simulator.
Play as king, build the kingdom
Sandbox Chess
It is sandbox chess and already exist 😊
That's a good idea! Maybe it should be an RPG too, with a hilariously in-depth crafting system and an inventory system so convoluted you can use it as a weapon?
Chess, but with the other aspects of medieval warfare.
This is quite high quality content! You’ll most certainly grow in views and subs very rapidly.
Thanks man I really appreciate it
@@Naviary W Content
@@Naviary W
Its not quite, it is peak
This man is clinically insane and I love it
NO WAY 69 LIKES
@@Legendhypergame2 holy shit thank you for notifying me
@@shranos6019 no problem
should i ruin it?
@@OhBoiItNotMe123 NO.
Surely there's a way to mathematically break this, like "after simulating various infinite chess games with an AI millions of times, it discovered the best move is to move your queen to the golden ratio of the half way point of memory capacity of the renderable plane" or something like that
You can’t fully do that with normal chess, so I thought you can with this
This might go against the spirit of this variant, but I think it would be cool to have an uncapturable piece called the "borderguard". Black has one behind the white pieces and White has one behind the black pieces. The borderguards can move up to two spaces, but only away from the center, all other pieces can only move within the bounding box spanned by the borderguards.
The board would slowly expand, if the players choose so.
Alternatively the borderguards could also move inwards, provided the kings stay in the playing area.
This is a really impressive project, I can tell how much work and care went into this and how much thought went into every feature.
Congrats on this, you should be proud!
Thank you!
The queen can move to all direction, infinitely
The queen has moved to one direction for infinite number of tile
She never knew if she already reach the destination or not, stuck in the constant movement
I'm gonna move so far away that it takes so long for my piece to move that my opponent dies of old age, thus awarding me the win.
If u could click infinite that is highly unlikely
@@Official-Poker Yeah, but floating point numbers are weird, and if you went a bit past 10^308, if it uses floating point numbers, you should get to infinity.
@@ettoresalvatore9437 or crash
There are "golden triangles", which are made of 3 points while all 3 are infinitely far
Their angles are all 0 (yes a bit non-euclidean), meaning that queen will be able to move anywhere next turn(making a 180° turn, this creating such an angle)(at least if that anywhere is same infinitely far away)
Though I only did read about them in Wikipedia and don't understand how it works
I think you can add some functions ,like search pieces, go back to king view, show which grigs can A piece attack B piece. That's will be helpful when you need to move a very far piece.
Now it just needs to be made into a DLC for 5D chess.
+infinite space, not surface
Call such a DLC "Real 5d"
Actually I think it would lead to the starting position to always be a mate in 3 for the person starting.
King : Where is that Queen?
Queen : *I'm 100 meters away from your location , rapidly approaching*
1:29 Yes more variants make it more interesting 3:40 Thanks for pointing out that sometimes, the 5D time- or your infinite space travel sometimes is just needed not to be good in the game, but have fun in the game from the choice freedom curiosity. Next time, you'll need 5D timetravel on a infinite chess board. 5:04 I know clocks are supposed to be somewhat about master-ness, but I find them just anoing. For playing with friends, you want fun together, and not chasing the clock, I have enough chasing the clock in work. So thanks for the "no clock" option, it basicaly makes the 4-th, (temporal) dimension of your game, also infinite. The 3rd Dimension is my distance form the playing board, with a magic remote control, I could travel infinitly far away inside the universe and still play. But I prefer ;-D 30 to 50 centimeters, siting in front of my computer. LOL.
Awesome! Can’t wait for chess on a hyperbolic plane!
That would actually be insane. How would that work? Each square has 5 sides all right angles to each other?
@@Naviaryhyper rougue is open source game/hyperbolic space engine and the engine supports many different tilings as well as continious space and time and more dimensions etc. The creator zeno would probably really enjoy a collab, he makes lots of experiments with hyperbolic (and other types) of space that he shows on his youtube channel.
But if you have more than 4 polygons around a corner then the angles will be less than 90 degrees, same as in flat space. But you can have 5 or more squares around each corner with 72 degree angles. And pentagons (or other many sided polygons) can have all right angle corners with 4 (or more if lesser angle) around each corner. That would be cool!
@@Naviaryhow do pawns promote
Naviary decided to increase the borders by a decent amount
5 seconds later:
*Infinite Chess was born*
I would love to know what strats would come about imagining a game like this had decades to develop.
Orbital rook battery 😂
This is such a cool chess variant! I'm excited to see what updates come out!
The casual mention of 5d chess and use of time travel is breaking my mind so much more than the topic.
Knight: the world is an endless expanse which I shall never reach the ends of :(
Bishop: Aha! My scope has been lengthened, I am clearly the more valuable piece.
Beqxc99999: yes
Imagine people doing this competitively:
Hikaru: You blundered your rook!
*takes with queen*
Magnus: Actually, no my bishop from 4^12398023 squares away is defending it
Hikaru: 🗿🗿
AHAHAHAHAHAHAHAHAHAHAHAHAHA
Standard: Limit 7 and Classical: Limit 7: 🗿🗿🗿🗿
wow this exploded! shows how good the video actually was! I think you did a great job.
There has to be a limit, surely, just inconceivably and impractically big. That aside, this vid has to be the calmest passion I've ever listened to.
The limit is the amount of memory given out for storing the position of each piece. Piece positions are most likely stored as x, y coordinate pairs. Most likely these are JavaScript numbers (it's on a website after all) which would work in the range -2^53 + 1 to 2^53 - 1 (~10^15 by ~10^15, for a total of 2^106 - 1 or ~10^31 squares).
JavaScript also has BigInts, which will grow in size to fit the number. These allow for massive numbers, with Firefox allowing for a number value up to (roughly) 2^20 (~1 million) bits in size to be stored. This allows for coordinates in the range -2^(2^20) to 2^(2^20) (~10^315652 by ~10^315652, for a total of ~2^(2^21) squares or ~10^631305 squares).* Using regular JavaScript numbers is the easier and more likely option, though.
*fun fact: each piece will be using up to 256 Kilobytes (kibibytes) in just coordinates if you do this.
Edit: I won't bother reversing the obfuscated code, but the save/load game function uses the standard JavaScript numbers.
dude, you blew up! keep up the good work!
What about more than two players? 4 player shouldn't be too difficult to implement but 3 player would be interesting as most boards are shaped differently. Not to mention the additional rules such as moats like in traditonal >2 player chess boards. I would love to see your take on it.
I guess, there will be only like 1(against a bot), 2, 3, 4 and 6 players because shapes need to correctly connect, so it will not be confusing.
I've always thought of what if chess was infinite and this video is gonna make me think a ton
Loved this video good luck on all chess videos
I'm so proud of myself for independently coming up with this idea some time last year, but due to being limited in my own abilities in implementation, I had to resort to using google sheets to play it with a friend
yes, chess on a spreadsheet
it's as jank as it sounds
You got quality and unique content dude, heads up continue creating and do what you love. Props to you
You should add backward and forward arrow buttons that cycle the camera to focus on a given piece wherever they are. So Next piece/Previous piece buttons. One of each for both players, so 4 such buttons overall. You could cycle between your pieces and those of the enemy as well.
You're channel will blow up soon, mark my words. Keep up the great work!
I thought there was a chess variant on an infinite board with extra pieces that can move a prime number of steps only. But I can't find it now.
It's called the Huygens piece, it got removed from Wikipedia.
@@edomeindertsma6669 Yep that chess variant name is Trappist-1
It was designed by Vickalan Reinhart, the same guy who designed Chess on an Infinite Plane
Ideas for new pieces for this variant
Cavalry: can either move one space horizontally or move verticaly any amount of spaces as desired
Human chain: can move like a queen, if any pieces of the same color are directly next to the human chain they will move in the same direction and distance as the human chain at the same time all at once, you can extend the capabilities by putting many human chain pieces next to each other
Musketeer: Moves like a king and take pieces in all directions in a five space range
Barbarian: moves like a pawn and can take up to three pieces at the same time
Jester: moves like a queen and can jump spaces
Logical next step: give each player an infinite number of those pieces which are only able to move a finite number of squares per move, to compensate for the finitely many pieces that are able to move an infinite number of squares per move.
Wow! I was surprised to see you have about 500 subs. SUCH GREAT CONTENT. You're bound to make it big!
This "mate in omega moves" is quite interesting. And it can be extended to "mate in omega x 2 moves" and "omega ^ 2 moves" and so on. Many years ago I read an article about this.
Wtf ?
@@abellematheux7632 It was a kind of demonstration to visualise the concept of transfinite ordinal numbers (ordinal numbers bigger than infinity [or better said bigger than omega}).
I wish I could find a link. At the time I read it it was an analogue printed edition.
@@hassanalihusseini1717 I know what is ordinal numbers, but I am very curious.
It's not about chess, but this is an awesome explanation of omega and infinite numbers ruclips.net/video/SrU9YDoXE88/видео.html
I'm not ashamed that I'm such a portal 2 fan that I noticed "space phase" from portal 2, playing at 2:59
May portal live forever
This video is so interesting! Keep releasing more
I always imagined this and wanted to see a video like this. Thanks for finally making my dream!
I absolutely adore this idea, you created something that was begging to be created. I also really wonder what an infinite chess engine would look like. Do you keep track of the games played on the website? That could be very useful data
An engine would be quite challenging considering it would have to choose from infinite possibilities! It would be awesome though!
@@Naviary it'd never even get to thru first move because of how large the board is. no computer will ever be able to make it because that possibility would be astronomically high because of board size (as 64bit is already beyond quadrillion and i don't even want to think about squaring that) .
@@sonicjoplus so basically, it is a 2^64^2
@@sonicjoplusi mean, engines right now don't look at every single move possible before making one, so i don't see why one couldn't be implemented in this mod
lets go! this turned out amazing!
Thanks!
“Simple yet complex” is the best oxymoron to describe Chess in just 3 words.
Hey just giving a suggestion but in this infinite chess you can make it multiplayer. It will just have pieces of normal chess and then just summon every board of people away by the area of 64. After they finish their game, they can interfere in anyone elses game and they will be considered alive till any one of their chess pieces is in the game.
What if the tiles at the very edge are always considered tile infinity? So you could have a piece on tile (infinity 6) and if you try to scroll towards it, the tile always moves with the screen. Like a pinned row or colum in excel. Then the only pieces that can be in the infinity row are things that have infinity direction capabilities. It's not much different than just going far out but it'll have the benefit of being very difficult to get to. I think only rooks or queens can easily get to them. Where bishops can only get to corner infinity (infinity infinity).
Cool idea but that would completely fuck with diagonals as a whole
@@Longcat_1 you can basically get infinity rounding.
This idea does not work, because interactions between pieces which are "infinitely many" tiles away are ill-defined in this case.
You would need to be more precise. Rather than having rows and columns labeled with some generic infinity, you should use ordinals to label those too, and then redefine pieces so that their movements are defined in terms of ordinal numbers. This would make a good chunk of the interactions better defined.
This is absolutely gorgeous. I’ve thought about coding infinite myself, but I couldn’t work out how to show all the pieces as elegantly and clearly as you have. I really hope this blows up.
Thank you!
Underrated RUclips, can't wait for him to blow up!
That one bishop 877 septillion Kilometres away: 🗿
It would be cool if there was a mode where the board is on a really big torus so if you go x spaces in one direction you'd end up on the other side of the board. The strategies for that would be wicked.
I think queens and bishops could threaten the entire board
Nah the rooks would snipe each other
Math degree here. I'm really glad someone made this. I've been laughing my ass off at the intricacies of the mate-in-ω^4 position for about a year.
For the viewer's reference:
Mate-in-ω: Black chooses a finite n. The game becomes mate-in-n.
Mate-in-2*ω: Black chooses n. The game becomes mate-in-ω+n. After those n moves are exhausted, Black gets to choose another n.
Mate-in-3*ω: Black gets to make this choice three times now. White is a little miffed.
...
Mate in ω^2: Black chooses a finite n. The game becomes mate-in-n*ω.
Mate in 2*ω^2: Black chooses a finite n. The game becomes mate-in-n*ω+ω^2. After the n*ω moves are exhausted, Black gets to make a choice for ω^2.
...
Mate in ω^3: Black chooses a finite n. The game becomes mate-in-n*ω^2.
...
Mate in ω^4: Black chooses a finite n. The game becomes mate-in-n*ω^3.
Pin this guy
I’m not educated enough to understand this comment
I am.
What is the largest ordinal that you can mate in but cannot mate in a smaller ordinal?
Mate in transfinity: Black starts by choosing how many meta’s there are.
Mate in transfinity^2: Black starts by choosing how many times they will make the transfinity choice.
Mate in transfinity^3: same as mate in omega, but it’s the transfinity choice, instead of the normal choice.
Mate in transfinity^omega: Black starts by choosing how many layers of the transfinity choices there will be.
Mate in transfinity^transfinity: Black starts by choosing how many layers of layers of transfinity choices there will be.
Mate in transfinity^^3: Black starts by choosing how many layers of layers of layers of transfinity choices there will be.
Mate in Absolute End: Black starts by choosing how many transfinity^^3 choices there will be. By now, White will probably die irl before they finish.
This is absolutely geniosly, idk how it will be in real gaming, but this and 5d chess are the best chess "mods"
I hope this will pull more chess people into math, there’s a lot of interesting math like ordinals in infinite chess!
Why's nobody talking about the pawn moving 18446744073709551615 squares just to be promoted to a queen?
What if instead of just being an infinite flat plain, the game takes place on an entire planet with buildings and shit on it? Actually, why stop there? Why not add 2 _more_ planets that have entire civilizations of the different colored chess pieces, with the Queens moved over to their respective moon? And maybe there could be a way to modify the King and Queen to make them more powerful by infusing them with random objects? Like... imagine if you could fuse the King and Queen with a harlequin doll, your dog, and a dead bird with a katana stabbed through it. That'd be rad as hell.
I also think the game could use a full RPG makeover with an in-depth housebuilder, as well as an exhaustive crafting system wherein any item can be combined with any other item in multiple ways that correspond to logic gates? While we're at it, the game should have a hilariously convoluted inventory system that's so esoteric that proper use can actually turn it into a viable weapon? I dunno, I just think this would make Chess (or maybe billiards too, if you're playing alone?) way more interesting.
now do 6D chess with multiverse time and infinite space travel
Imagine having a staircase checkmate from 10^50 squares away
them: HAHA! YOU BLUNDERED YOUR BISHOP! *takes with pawn*
Me: CHECKMATE IN 9e+999999999999999999999999999999999999999999 MOVES!
"Its impossible to achieve light speed"
The rook in infinite chess: "Hold my beer"
Now add a Battle Royale multiplayer mode.
Get like 10 players in 1 room and each player must survive against everyone else.
Depending on total players in the world, make it so you can toggle between traditional turn base or Timed moves.
Timed moves makes it so everyone moves 1 piece at the same time. Timed Moves has a 1 minute timer before the moves happen, so it adds doing nothing as a potential option. Of course if every player makes a move, the turn will initiate immediately instead of waiting the full minute.
This is a good idea, I'm planning to eventually make a similar game
I'm looking forward to over the board tournament in the nearest future!
This is so well made, I love it! A very interesting concept with an excellent execution. One day you'll have thousands, if not millions of subs, that of I'm sure. Continue in what you do, it's great :3 I'd love to talk to you sometime, you seen as a great person, have a great rest of the day and much luck in your surely successful youtube career :3
Thank you
@@Naviary you're welcome :3
just imagine this game in real life, there would be a whole giant island for the board and for some moves it would take hours or more to move around the board, so golf carts would be used
I'd like to see all tactics in this variant of chess
Infinite Chess = Infinite Tactics
"What?! How is this not checkmate?"
That one bishop on Z781: 👻
ok now add buildings and resources so you can build more pawns or other pieces and with a few more players per board, it'll be a fun RTS
This is really cool with the extra mobility and stuff.
But I can imagine me getting extremely nauseous playing it lol
That's a downside to the checkers 😂 For now don't zoom out too far! I am planning a way to change the board color to your preference.
this comment prompted the idea in my brain of this in VR
which realistically is probably a bad idea but sounds very fucking funny
We finally have open world chess, a true Triple A chess experience
Hello again! Is the "Never Ending Infinite Chess Game" still going?
Oh hey Werewolf you found my video! No unfortunately. But eventually I'll revive it on my site!!
Wait until the « 5D 4 players radom starring position duck chess on infinite grid »
"Pawns promote when they reach the final rank"
Pawns in this chess: 💀
Open world chess
Ok, that's cool and all, but can you En Passant?
NO, 5d chess IS infinite
It's unbounded, but not infinite.
It's actually not infinite. You can move through time and timelines as long as there are boards. A time travel is limited on how many turns have been played or how many timelines have been created. You can't time travel infinitely. Dont get me wrong, the game is huge of possibilities due to the constant growth of the board, but it doesn't have infinite space as portrayed here.
Also as a note, at a high level games don't pass the turn 50 due to the nature of the game, I think here it would definitely be common to pass turn 50 for sure
@@LosBROSPQR i also havent gone passt move 50 becuase the game either crashes from not loading/finding legal moves or i give or get accedently checkmated lol
@@Laltlech lol, that happens when you time travel a lot since the computer has to compute several moves to find the legal moves.
@@Laltlech there are very few competitive games (if any) that pass turn 50 due to the nature of the game
Friend: Why its still check
Me: Because my queen is 7000 Light Years Away
Pieces should be able to reproduce to increase the number of pieces, it is boring when most of the board will always be empty.
Let's admit that Gotham Chess is carrying
its kinda weird to think that in infinite chess, the bishop rook and queen technically TECHNICALY all have the same value because they move the same amount of squares (infinity) in total
And that's why we have to take directions into account.
Well, queen infinite is bigger than bishops and rooks
I wonder what challenges this variant has for chess engine development. First thing that comes to mind is many positions have literally infinite number of legal moves so enumerating all legal moves in a traditional sense isn't really possible.
5:24 HE TALKS ABOUT PROMOTING PAWNS STOP ASKING ABOUT IT
That’s what I’m saying
I can't believe that nobody is acknowledging that the Chancellor is actually just a Knook