Questions tagged [checkerboard]
A puzzle involving checkerboards: grids of squares alternating black and white in color, most commonly an 8x8 board.
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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 ...
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Arrows on a Chessboard
I've taken an $n$ by $n$ chessboard and drawn an arrow on each square, pointing in one of the eight compass directions. I've done this in such a way that arrows in (orthogonally) adjacent squares ...
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Partitioning a chessboard
You should see a standard chessboard - it is printed on paper. How many ways can you cut it up (around the squares) such that each piece has twice as many squares of one colour than of the other ...
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Pedro's pawn game
Yesterday, my good friend Pedro told me about Pedro's pawn game which is played with $7$ white and $7$ black pawns on a $7\times7$ checkerboard.
In the starting situation, there is a white pawn on ...
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Dominoes on a chessboard
Mary has a box with special $2\times1$ dominoes. Each dominoe has two red corners and two blue corners, and these dominoes come in two different types: The first type has the lower left and the upper ...
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Placing dominoes on a 3x100 checkerboard
Alice and Bob play a game by alternately placing dominoes on a $3\times100$ checkerboard (3 rows, 100 columns). Alice has the first move.
A move of Alice consists in placing a $1\times2$ (horizontal) ...
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The Erasmus rook tour
Professor Erasmus has found a special way of moving a rook across a standard $8\times8$ chessboard that he modestly calls the "Professor-Erasmus-rook-tour".
The professor claims that in this tour, ...
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8 queens equivalent on checkers [closed]
I'm a computer programmer trainer and sometimes I do some puzzle exercises with my students. Right now we did a checkers game and I would like to make them program to solve something with their ...
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How many Kings can you Achieve?
In a standard American game of checkers what's the maximum amount of kings a player can get, and what is the move sequence?
Keeping in mind the force capture rule
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How do I count Hamiltonian paths of grid?
Let's say there is a 5x5 grid with a starting position in the upper left corner, and an ending position is lower left corner. How do I count how many Hamiltonian paths there are through the grid?
I ...
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Moving a pawn around on a chessboard
Suppose you have a checkerboard with two opposite corner squares removed, like this:
Can you move a pawn on the board only horizontally and vertically, one square at a time, and have it touch every ...
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