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Desmond
04-03-2021, 07:52 PM
1D Chess is a variant of chess that is played along a single file, on the board shown below the a-file.

The pieces cannot move off the a-file.
The king moves as in normal chess, 1 space at a time.
The rook moves as in normal chess, as far as it can along the file.
The knight jumps exactly 2 squares.
Other rules of the game are the same - checkmate, stalemate etc.

With best play, what is the result? What is the longest game with best play?

To get you started, white has exactly 4 moves s/he can make from the starting position. 1.Na4, 1.Ra4, 1.Ra5, or 1.Rxa6.

k7/n7/r7/8/8/R7/N7/K7 w - - 0 1

whatteaux
05-03-2021, 09:12 AM
There's an interesting analysis herre: http://chessexpress.blogspot.com/2021/02/one-dimensional-chess.html

Andrew Hardegen
05-03-2021, 04:51 PM
Here's a chess variant that I can solve!

Desmond
12-03-2021, 12:05 PM
I posted the solution here (https://www.linkedin.com/pulse/1d-chess-puzzle-brian-thomas).

Capablanca-Fan
14-03-2021, 12:48 PM
↑↑ Thanks, there are more subtleties than I thought.