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1D Chess

If you enjoyed this, you might like Mind Chess, which can be played without a board and pieces [1]:

Consider Mind Chess. Two players face each other. One says "Check." The other says "Check." The first says "Check." This continues until one of them says, instead, "Checkmate." That player wins -- superficially. In fact, the challenge is to put off checkmate for as long as possible, while still winning. This may be better stated: you truly win Mind Chess if you call "Checkmate" just before your opponent was about to.

[1] http://www.eblong.com/zarf/essays/mindgame.html

by hackyhacky1775844036
Mentioned in TFA: This version of chess is given by Martin Gardner in his "Mathematical Games" column of July 1980 (pages 27 and 31) — https://www.jstor.org/stable/24966361 — and the analysis of White's mate is given in the column of August 1980 (page 18) — https://www.jstor.org/stable/24966383.

I do wonder how things would change if the board were 9 cells long; 10 cells long; etc. Also, it seems "in the spirit" to permit castling if neither K nor R has moved yet: i.e., from the position

K _ R N r _ n k

White ought to be permitted to

_ R K N r _ n k

(Or maybe there's a stronger argument for R K _ N r _ n k, actually. The former was conceptually "rook moves halfway toward king, then king moves to the other side of rook"; but the latter is "rook moves two steps in king's direction while king moves to the other side of rook.")

I'm pretty sure this wouldn't change the analysis on the 8-cell board at all, though. I wonder if it would change the analysis on any size of board.

by quuxplusone1775839532
1D Go is also interesting and doesn't require any change in rules or starting position. TIL that it is known as Alak [1]. One of the open problems in our Combinatorics of Go paper [2] is whether you can play a game that goes through all possible legal 1xn positions for any n>2, which we were only able to verify up to n=7.

[1] https://senseis.xmp.net/?Alak

[2] https://tromp.github.io/go/gostate.pdf

by tromp1775849040
Those who play go may enjoy the variants: https://www.govariants.com/variants/rules-list Tetris is a fun one to try!
by frunkp1775851829
I love chess! This version was fun too.

If 1. Rx6,it is stalemate. So it must be 1. N4 N5. Then we could proceed with, 2. Nx6+ K7. Now, if you capture the knight (Rxe), it is stalemate again. So sacrifice the knight, 3. R4 Kx6 so that you force black to zugzwang with 4. K2 K7, and finally, 5. Rx5#

by MinimalAction1775851396
This is really nice.

Incidentally, there is an actual 1D game that is one of the most popular games on the planet: Backgammon.

by asibahi1775837892
Very cool. Reminds me of 1D Pacman: https://abagames.itch.io/paku-paku
by aktenlage1775845442
Reminds me of Edwin A. Abbott's Flatland, where he describes Lineland. A one-dimensional world whose King can only move forward and backward, cannot conceive of sideways, and considers his tiny segment of existence complete and sufficient. The Linelanders are portrayed as pitiable, intellectually imprisoned by their single dimension. Much like us in our three :)
by gef1775839895
N4 N5 Nx6+ K7 R4 Kx6 R2 K7 Rx5#
by jibal1775852279
That finally confirmed that I am too regarded for chess if even 1D is too hard yay
by juleiie1775842418
If you like 1D chess, you'll probably like other chess-themed puzzles as well: https://chedoku.com/blog/chessPuzzles
by chedoku1775848633
I went in other direction ;-) https://topce.github.io/chess960x32/
by topce1775847434
Haha, i was taking N4 and N6, but didn’t figure the steps after that.

To win we need to let knight die because rook can move multiple steps to kill the king.

From a third person perspective R2 is a deceptive move that takes advantage algorithm to make the black king back off to kill its knight.

by northfield271775839209
I honestly thought this post was going to be about the Iran war.
by sillyfluke1775852246
I was confused why 3.R2 is drawing, but not 3.R4 since black can check with the knight either way, but it's fairly obvious in hindsight - if black checks instead of capturing, you don't take, you go K2 and force black into zugzwang. Clever.
by slopinthebag1775851699
It took me an embarrassing number of attempts to win.
by sieste1775837987
It was a lot more fun than I first thought!
by palata1775839365
I don’t know why this is stalemate: N4 N5, N6 K7, R5. Wouldn’t rook have the king in checkmate?
by hart_russell1775843784
Don't know when was the last time I had so much fun with chess. Quite intuitive, clicked on the first click.

Would enjoy so much if there were more of these, feels like an obligation-free chess puzzle.

by hypendev1775844829
I was only able to beat this after a couple retries. The hint was hard to read.
by kkaske1775839763
by 1775839943
I won after four attempts. Pretty sure it was perfect play so yes white has forced win
by darepublic1775843725
Zugzwang!
by sjdv19821775844107
Nice, fun and interesting! :)
by Dante777111775848035
Finally, a version of Chess I can understand. Thank you.
by schmeichel1775837711
Oh very interesting. Even with these restrictions, there are quite a few variations, and it seems only one ends up with white winning.
by bbx1775838343
I was expecting a blog post regarding Iran strategy...
by Computer01775849539
That's actually a fun little puzzle.
by tempestn1775843570
Hello
by hfnjdbekwbiw1775848390
It's very interesting and fun!)
by rOOmbambar91775840582
Cool idea. This is smart and lean. I like it
by lschueller1775838764
Silly nice brain teaser
by addybojangles1775842744
by 1775840645
Nice! :)
by tkapin1775837453
Fun stuff, love it!
by naorz1775836330
[flagged]
by hfnjdbekwbiw1775848415
love it!
by BiraIgnacio1775843335
i could not beat it, and i can't read that chess notation
by vladde1775839050
The first move is always: white rook takes black rook, then the only remaining move for black is to move the knight away, which results in checkmate.
by tintor1775838979