Here comes the queen with a 200 space jump to the living room, looking for a possible flank…
this post was submitted on 03 Oct 2024
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Somehow it reminded me of The Angel Problem:
The Angel-Devil game is played on an infinite chess board. In each turn the Angel jumps from his current position to a square at distance at most k. He tries to escape his opponent, the Devil, who blocks one square in each move. It is an open question whether an Angel of some power k can escape forever.
The mechanics are obviously different from it, but the theory kinda of still applies: if we limit the pieces to the maximum of K squares, could it lead to a checkmate?
That's neat, I'd never heard of it before!
It is an open question whether an Angel of some power k can escape forever.
Looks like you're quoting the Proceedings of 11th Annual International Conference on Computing and Combinatorics from 2005: https://dl.acm.org/doi/abs/10.5555/2958119.2958180
Apparently, it was solved (twice!) the next year.
In late 2006, the original problem was solved when independent proofs appeared, showing that an angel can win. Bowditch proved that a 4-angel (that is, an angel with power k = 4) can win[2] and Máthé[3] and Kloster[4] gave proofs that a 2-angel can win.
Naviary on youtube has made just that. Their videos are amazing, mostly going over the theory created by having an infinite chessboard ("mate in omega" and it's sequel are mind boggling), and some are about the technical aspects of implementing infinite chess. Highly recommend watching them.
Hell yeah, I came in here specifically to post about those videos. Infinite chess gets extremely much more buck wild than you'd initially expect.
infinitechess.org
grabs popcorn
+1! 😂
I still prefer
From the toilet in the bathroom, you move when you've got a movement.
You've heard of correspondence chess, how about commode-ance chess?
I think you miss the opportunity to use "correspond-ass chess"
G2 is finally viable?
And white finally has a mate in 3 moves!
It's called go
google En Bidet
When you can move your Knight off the board so you can make a flanking cavalry charge.
Pawns just can't catch a break
Chess 2.0? Finally
Looks shitty.