4 ms·
> (draw at optimal play on a 5x5 board, win for first player on smaller boards) Somewhat relatedly, I keep wondering how board size affects the game of chess i
by dane-pgp 4y ago
> (draw at optimal play on a 5x5 board, win for first player on smaller boards)
Somewhat relatedly, I keep wondering how board size affects the game of chess in particular.
It seems that a 1x8 board definitely leads to a stalemate (because the pawns in front of the kings would block each other), but at some point adding new columns (with the relevant pieces) makes the game impossible to exhaustively search, and at least plausibly introduces the ability for one of the players (presumably white) to win with perfect play.
That ability for a winning strategy to emerge just beyond our ability to compute is somehow tantalising.
- captn3m0 4y agoThere’s some interesting variants listed here: https://en.m.wikipedia.org/wiki/Minichess https://en.m.wikipedia.org/wiki/Minichess Without changing the rules somewhat, it appears that the odds change dramatically enough to make easy wins for one of the players on such smaller boards. Hence, variants include some weird stuff. On the other extreme, you get https://en.m.wikipedia.org/wiki/Infinite_chess https://en.m.wikipedia.org/wiki/Infinite_chess