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48 votes
4 answers
4k views

Can you checkmate a king you can't see?

Motivation If you play bullet chess with time management skills as poor as mine, you often end up in endgame situations that require delivering checkmate by playing several premoves in a row. For ...
noedne's user avatar
  • 19.1k
9 votes
1 answer
3k views

Two-Move Chess Game

Consider a standard game of chess. We make the following modification: on a turn, if a player makes a move which neither captures a piece nor puts their opponent’s king in check, then they may make a ...
godlification's user avatar
1 vote
1 answer
116 views

Zigzag nim game [duplicate]

I'm trying to figure out a strategy for the following nim: here the rules are that you choose a new position on the path $1$,$2$, or $3$ nodes forward. The other player does the same. Neither player ...
Louie's user avatar
  • 153
4 votes
0 answers
207 views

Police and Thieves

I played this game when I was young, but cannot find it online. It is played on a checkers board (e.g. the black squares of a chess board) between two players P and T. The game goes as follows: P ...
user21820's user avatar
  • 1,256
7 votes
0 answers
307 views

Who wins the game of "Sticky Gomoku" on an infinite board?

This is a Gomoku like game, played by two players with Go pieces (black and white stones) on an infinite (in all four directions) Go board. Rules Four in a row: players alternate turns placing a ...
Eric's user avatar
  • 6,976
8 votes
2 answers
674 views

Marbles on a Mancala Board

I would like to introduce an ancient African board game I've just invented. Until someone comes up with a better name, it's called Marble Mancala. The rules are pretty simple: There are two ...
Bass's user avatar
  • 80k
7 votes
5 answers
311 views

Selecting the starting player [closed]

The board game is about to begin. And suddenly we realize that we need to decide the starting player. The dice procedure is tiresome. And we can't find our dice right now. Or any other artifact that ...
Dr Xorile's user avatar
  • 23.7k
24 votes
1 answer
2k views

Monte Carlo Chess

This is an entry to the 17th fortnightly topic challenge. Chess is an interesting game, but is so unrealistic. In real life, you couldn't tell order your knight to attack an enemy bishop and expect ...
Mike Earnest's user avatar
  • 32.8k
3 votes
2 answers
174 views

Stakes on a table [duplicate]

Two men sat at a square table, each with a very large number of stakes. They had entered a contest of wits, or so they called it. The winner of the contest would be the last person to place a stake ...
Quiquȅ's user avatar
  • 1,456
17 votes
1 answer
1k views

Clear board in Othello (Generalisation)

Based on Clear board in Othello If we have an $2m\times 2n$ Othello board ($m\geq n\geq 2$), and the centre $4$ squares have the usual starting position, then for what all values of $m$ and $n$ ...
ghosts_in_the_code's user avatar
10 votes
1 answer
1k views

Clear board in Othello

Is there a valid set of moves in Othello that allows a win score of 64-0 for either player? And is there record of any such game in the past?
ghosts_in_the_code's user avatar
6 votes
1 answer
886 views

2 bishops versus a lone king

There are 4 pieces on the board, the white and black kings, as well as 2 white bishops (on differently colored squares). The only way a stalemate occurs is if the black king is not in check, but ...
ghosts_in_the_code's user avatar
9 votes
3 answers
4k views

Queen chasing a knight (chess pieces)

There is a player who controls only a queen, while his opponent controls a knight. Both pieces start from opposite corners of the board. The aim is to kill the knight, without having your queen killed....
ghosts_in_the_code's user avatar