There are a lot of possible games…but are there are lot of moves too?
NOTE: At the 8 minute mark I say the “sets are identical” and I am referring to the *size* of the set. In a PGN, the pawn moves for black will be recorded differently than those for white.
For example, the strongest move in any position “b2-b4” can only be played by white.
In this analysis, I used “enhanced hyphenated long algebraic form” notation as specified with the use of the pgn-extract program found here. [ written by David J. Barnes.]
Script:
Check out @paralogical-dev ‘s video on the rarest move here
and you’ll find Free Chess! (and me) at
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0:00 – Introduction
0:34 – Objective
1:27 – Pawns
2:59 – Knights
3:47 – Bishops
4:22 – Rooks
4:36 – Queens
4:54 – Kings
5:53 – All Values
6:09 – Impossible Moves
8:03 – Have They All Been Played?
#chess
2:20 I don’t think En Passant is really a different move. The pawn moves from the same square to the same square in either case. To me, that’s more like how capturing a knight or capturing a bishop are not listed as different moves. Your pawn is doing the same thing/move, it’s only the enemy piece which is differing between the two scenarios.
Do you have a list of all remaining moves?
Nice and interesting video, but I am a bit contradicted about the use of PGN to distinguish different moves.
Technically, a capture, check, or checkmate are not really different moves, the piece moves the same either way.
While the case can be made for captures being different moves, since they also remove another piece from the board, checks and mates are not *really* different from the same move without it, just because they affect the game differently.
If we say that they are different, because the PGN is different, you should have included disambiguation and double disambiguation as well. Maybe that would be an idea for a follow up video, but i doubt it will be as easy to calculate, although the number should be small enough to use an algorithmic approach to find them.
To summarize, when referencing the PGN for moves, disambiguation has to be considered, when not, only moves that are a different piece movement should be.
All remaining moves would be done soon now that this video is uploaded. lol.
200 elo bullshit
This is deep
Small note, check or checkmate king moves are impossible on the corners, since discovered checks need at least 1 space in both directions of a king to be open, and the corners are the only spaces where that's impossible.Edit: i am dumb
first off, this video is good and i dont intend to be mean
but there are 2 things wrong with the count of moves in this video
1. pawns moving from the third rank or 2 squares from the second rank have the same notation either way
2. disambiguation is completely forgotten. i would give them a pass because they seem to be a new chess player, but they have clearly already seen the Paralogical video which has disambiguation as a key part of the video
i would estimate the correct count to be ~60k per color, or ~120k total
And yet I still somehow choose the bad moves
Ok now let’s do how many chess notations are there
CHESSSSSSSSSSSSSSSSSS
Your videos would greatly benefit from a better microphone
Just Subbed 💌
Come on, this needs to get as many views as the one Paralogical did.
Not just chemistry. It is statistical mechanics, canonical ensemble.
Counting this way en passant moves are not additional moves, they move to the exact same square as a normal capture from the same spot. The only difference is the position of the captured piece (a pawn). But if that is relevant than the entire position of all pieces on the board should be relevant. A move with the same notation is just not the same in different positions. Now THAT calculation would be much more interesting, and the outcome would explode. This calculation calculates the number of notations, not the number of chess moves.
King can't cause discovered check when moving from the corner, or along an edge. You'll have to subtract 60 from the "King check" counts.
What are the 2 bishop moves that are not played?
I like both of your chess and chemistry content, you deserve to get more views and subscribers.
For anyone interested in the number of chess moves in terms of algebraic notation instead of PGN (taking into account disambiguation, etc.), I made this spreadsheet:
https://docs.google.com/spreadsheets/d/1gIC3optGjIomhHvRkGJlKNP6KmgQyr0j2xzqUvXXhgE/edit?usp=sharing
I don't know if there's already a video on the answer for algebraic but you or anybody else is certainly welcome to use this as a resource. If anyone catches a mistake I made let me know!
hi mr animated chemist
I never watch your chemistry videos but I have watch your two chess videos
nice video
I also tried watching your chemistry video but I haven't learned Chemistry yet (will start in september) but I've learned chess. I assume this is why you have much more chess video views.
I Sulfur Uranium Boron Sulfur Chromium Iodine Beryllium-ed to you
8:56 "just much more important, of course" ouchk
201 elo bullshit
Love the video
Loved the video. Also got baited by the illegal king moves. Had the comment written with timestamp and step by step calculations, but decided to finish the video first.
Wouldn't corner bishop checks and checkmates be since they can be discovered attacks?
Kings can not check or checkmate when moving from the squares right next to the corners ( not diagonally next to the corner) due to kings not being able to be next to each other.
Great video, but you arent covering all illegal king moves. You did consider Ka2Kb2, but you did not conside Kb1 to wherever. This cant cause a discovered because the king would need to be on a1. This applies to Kc1b2 aswell. Younare therefore not accounting for 4 moves per half corner. Totaling 92 instead of 60 illegal king moves. Therby bringing the amount of moves down by 128.
Interestingly, this would total more than 45 additional king moves in the final* grafic. So you must've accounted for this.
As a final question did I miss any impossible moves?
Think PGN is not the notation that this calculation applies to, you're probably thinking of long algebraic notation (and i'm not sure what you're doing to note down en passant as a separate move)
Shouldn't all pawn moves be counted twice, once for white once for black?
Hmm I think you’re a bit to liberal with the king check(mates). If a king moves along the edge it is unable to create a discovery.
It appears you have forgotten disambiguations. All rook and queen moves can be disambiguated and all bishop and knight moves can be disambiguated or double disambiguated
What are those 2 bishops move lol maybe we could try to achieve it
Good video! Another idea is to use the Algebraic Notation as it’s a widely used notation in addition to the PGN
How can you give check (discovered or otherwise) with Ba1-h8; Ba8-h1, Bh1-a8 or Bh8-a1? Have to subtract 4 from the total # of check or checkmate (and capture with check or checkmate) with the bishop.
I hate to be the "well actually" commentor, and i realize just how complex the calculation in and of itself is, if a b pawn captures to the a file, its possible moves decrease. Conversely, if an a pawn captures to the b file its possibilities increase. So I dont know if we can call it the upperbound, but i think its within acceptable limits.
I fail to see why you counted en passant as 2 moves. Whenever a pawn can capture another e.p., it's always the only capture it can make on that file.
what about a pawn capturing multiple pieces? it could traverse multiple files?
Forgot about stalemate
Next video idea: calculate all the possible chess positions.
now i wanna know the exact number of possible games combination resulting in checkmates
chess scorigami
Great
7:28 aren’t there a few more illegal king moves when the king is one square to the side of the corner since it can’t discovered check a king in the corner because they would have to be next to each other to achieve that which is illegal
You should change your name to “The Chessimated Chemist”
I had another question, what is the maximum amount of moves a chess position can have.
Assuming all pawns promoted to queens, I got an upper bound of 352.
Ha! I got u anyways. There are 4 extra moves which you didnt consider! You can actually check (and checkmate) with castling. So you forgot those moves 👀
Great video, thanks! I too was left wondering about your exact definition of a move, like distinguishing ep from non-ep, or not showing stale mates. Some of this was implied, like if it mattered what sort of piece was captured, so I think you did end up at the value you were looking for. 😊
What a great video, thank you!
if you count the pgn, en-passant has the same pgn as the capturenormaly since theres no possable situations that they can be done at the same time