Questions tagged [checkerboard]
A puzzle involving checkerboards: grids of squares alternating black and white in color, most commonly an 8x8 board.
137
questions
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3answers
303 views
Class Chess Tournament
A class of 36 students are expecting to play in the chess tournament held by Math Department. When the schoolmaster arrived he said "Lets start the games but first we must setup all the chess ...
15
votes
2answers
2k views
A Rook's Territory in the Chessboard
Shade 32 cells, four on each row and column, of an 8 x 8 blank chessboard (all its cells originally white) so that a rook sitting on any shaded cell can reach any other shaded cell, moving just along ...
3
votes
2answers
149 views
Black War Heroes or Whites Save the Queens?
After Black Cavalry successfully captured White princesses,
White empire learns their Black opponent is hungry for more and wants White Twin Queens dead!
White will never let such a disaster happen ...
6
votes
1answer
307 views
Whites capture whites and Blacks capture blacks
This is my first Chess Puzzle!
Let suppose you start a Chess game.
Whites' aim will be to place all their alive pieces on white squares in a minimum of moves and black will do the same, but with ...
15
votes
3answers
855 views
Four fanatics and one checkerboard
Four checkers-playing fanatics eagerly
pair up for two simultaneous games of checkers
but somehow find themselves with just one board.
They do have enough checkers for two games, so it is time to act.
...
7
votes
2answers
530 views
Knights and Queen puzzle
This is not original. I just want to share this problem. If you have heard of it, please give opportunities for those who haven't to answer.
Horst and Queenie are playing a game on a $200\times200$ ...
1
vote
1answer
66 views
k-threats Chinese Cannons Chess: Part 2
Inspired from the N-Queens problem, I here propose you a puzzle from Xiangqi wich is Chinese Chess equivalent, mostly played in Asia.
The most different piece from Xiangqi is the cannon. You can ...
4
votes
1answer
77 views
k-threats Chinese Cannons Chess: Part 1
Inspired from the N-Queens problem, I here propose you a puzzle from Xiangqi wich is Chinese Chess equivalent, mostly played in Asia.
The most different piece from Xiangqi is the cannon. You can ...
6
votes
1answer
133 views
Most moves by Most number of Pieces
Using one color, White or Black, place as many chess pieces (kings, queens, bishops, knights, rooks, and pawns, or combinations thereof) as you can on a checkerboard so that when the number of pieces ...
18
votes
2answers
2k views
Playing with one Queen on a chessboard
Alice and Bob play a special chess game with alternate moves. Alics starts with an empty chessboard and puts a Queen at a field in the first row (A8-H8) or the right column (H1-H8). Now Bob is moving ...
12
votes
3answers
1k views
How many chess pieces do we have to put at least?
In a $8\times8$ chessboard, a cell is qualified if an adjacent cell (a cell which is on top, left, below, or right of the cell) excluding itself has a chess piece on it. How many chess pieces do we ...
20
votes
3answers
3k views
A chess board with numbers
A 8x8 chess board is marked with the numbers from 1 to 64 sequentially from left to right, row by row and top to bottom.
Now a minus sign is added to 32 of those numbers such that in each row and in ...
17
votes
4answers
2k views
Paint 21 Squares of a 7×7 Board Without Forming a Rectangle
Got a nice puzzle from my friend, when he was competing in IWYMIC/IMC 2011.
Paint $21$ of the $49$ squares of a $7 \times 7$ board so that no four painted squares form the four corners of a rectangle....
6
votes
3answers
854 views
Cover 63 squares of a chess board, differently
In this other puzzle, ThomasL asks for three similar pieces which can be arranged to exactly cover all of an 8x8 chessboard, except for a single square — for any of the 64 possible single squares.
I ...
43
votes
3answers
5k views
Cover 63 squares of a chess board
Can you find 3 similar geometrical figures (common shape but can be different sizes) A, B and C with the following property:
If you remove any square from a 8x8 chess board, then the remaining area ...
14
votes
3answers
444 views
A missing part of a checkerboard
Fill out the missing part (the grey area) and explain the pattern behind the colors of this $9 \times 9$ checkerboard tiles!
7
votes
3answers
1k views
A Plethora of Puzzled Pawns
Inspired by this question
According to FIDE rules,
the pawn may move to a square occupied by an opponent’s piece diagonally in front of it on an adjacent file, capturing that piece.
So, what's in ...
4
votes
1answer
187 views
How to connect a chessboard and a cipher into puzzle?
Let's say you have (a) a chessboard with figures and (b) a text from a book. The figures configuration is the Cardan grille, https://en.m.wikipedia.org/wiki/Cardan_grille
When you put the chessboard ...
9
votes
2answers
437 views
Minimum number of turns to capture all pieces in Checkers
On an 8x8 checkerboard, there are 12 red kings and 1 black king. The kings behave as they would in any normal game of checkers, being able to move in any diagonal direction one space and jump any ...
14
votes
1answer
1k views
Chess problem: Make a crossword in 3 moves
A crossword position is a legal chess position with the following property: The board can be thought of as a crossword grid where the pieces on board work as clues. Each type of piece is a clue for ...
8
votes
2answers
739 views
Walk a Crooked Path
Here is a $7\times7$ board with three squares removed.
You walk a path from square to square (adjacent horizontally or vertically), without visiting any square more than once. What is the most ...
7
votes
1answer
857 views
Knight's Tour on a 7x7 Board starting from D5
Average Knight's Tour puzzle but this time on a 7x7 and starting from D5
12
votes
4answers
547 views
What’s the most possible checkmates in one, but with no promoted pieces, in a position?
What is the most possible checkmates in one without promoted units in a position? It must all be legal, of course. Promotions are allowed in the game, but the position is not allowed to start with ...
6
votes
2answers
789 views
Chess with symmetric move-square
Every move in chess involves moving a piece to a square. Let us call this square the "move-square" for that turn.
In the following, the move-square of the black player must be symmetrical (over the ...
0
votes
1answer
216 views
Fastest Way To 6 Pawns On the B To H Files
MASSIVE UPDATE: I decided to play around with this again today, and I found MAJOR improvmemts for the B to G file games. See if you can beat me! If not, give proof as to why my game is optimal (To ...
10
votes
1answer
513 views
How many total checkmates can you possibly make against the enemy king?
Just an interesting idea for a puzzle that I had
So, I decided to see how many possible checkmate I could theoretically make, in a legal position that can be legally reached.
Always assume that the ...
4
votes
1answer
392 views
Chess Massacre Variants-Play Find The Fastest Way?
I have thought up several variations of massacre chess.
Massacre chess is a game where almost every single move is a capture.
The idea here is that only the chosen type of piece can capture. It ...
15
votes
3answers
2k views
A Wacky, Wacky Chessboard (That Makes No Sense)
So yesterday I found this in the mail. A chessboard. But on the squares, things were written. Plaintext version:
...
7
votes
3answers
182 views
Discrete Peaceful Encampments: Player 4 has entered the game!
Here's a variation of Discrete Peaceful Encampments: Player 3 has entered the game! (which itself is a variation of Peaceful Encampments).
You have 3 white queens, 3 black queens, 3 red queens, and 3 ...
7
votes
4answers
366 views
Discrete Peaceful Encampments: Player 3 has entered the game!
Here's a variation of Discrete Peaceful Encampments: 9 queens on a chessboard (which itself is a variation of Peaceful Encampments).
You have 4 white queens, 4 black queens, and 4 red queens. Place ...
17
votes
4answers
1k views
Discrete Peaceful Encampments: 9 queens on a chessboard
Here's a discrete variation of yesterday's puzzle Peaceful Encampments.
You have 8 white queens and 8 black queens. Place all these pieces onto a normal 8x8 chessboard in such a way that no white ...
9
votes
1answer
374 views
A chess game with odd moves?
A friend and I like to play chess regularly. Like me, he is a lover of a good puzzle, which is what drew us to the game. The thrill of finding a checkmate in a board riddled with pieces cannot be ...
6
votes
1answer
318 views
A Battle of Dysfunctional Kings (Chess)
So recently I've learned about fairy chess and I've decided to write a puzzle based around the topic. Today's variation features a chess board which is missing eight squares (A1, A8, C3, C6, F3, F6, ...
2
votes
1answer
354 views
Row of alternating coin
I stumbled upon a mathematical puzzle that goes like this: You have 2n coins that alternate between head and tail. For example, if n=3, then it looks like H T H T H T, where H = head and T = tail. To ...
10
votes
2answers
193 views
make it to the top of the triangle
Suppose you have a triangle that extends infinitely downwards, with circles inside, arranged in this arrangement:
...
6
votes
1answer
452 views
The Knight Checker or Football Chess
Both Players uses 8 Knights on this chessboard game : The Knight Checker.
All pieces starts in Rank 1 relative to players. White to move first. The Knight pieces makes regular moves as in a chess game ...
7
votes
1answer
162 views
Permuting rows and columns to switch white rooks with black rooks
An adversary places eight white rooks and eight black rooks on sixteen squares of a chessboard, subject to these rules:
In any row, there must be exactly two rooks, one of each color.
In any column, ...
5
votes
3answers
294 views
Crazy queen in checkers
Checkers
Checkers, also called draughts, is an interesting game. all pieces are placed on black tile and are all pawns at the start. When a pawn reach the final line, a powerful piece is created: the ...
11
votes
4answers
396 views
Checkerboard Infection Variant
There is an insidious virus (less contagious than C. Coli, but still dangerous) which plagues the squares of checkerboards. This virus spreads through social interaction: whenever the majority of a ...
8
votes
2answers
435 views
Covering a chessboard with L-tetrominoes
We all know the classic puzzle of trying to tile a mutilated chessboard with $2\times1$ dominoes. Let's imagine that, instead of dominoes, we have $n^2$ L-shaped tetrominoes and we want to tile a $2n\...
1
vote
2answers
283 views
The Monster and the Chessboard [duplicate]
You have a standard checkerboard with 64 squares and a coin in each square, randomly facing heads or tails up. There is an evil monster in the room with you and he arbitrarily selects some square and ...
27
votes
7answers
8k views
Two Knights, two Bishops, two Rooks and two Kings on a 4x4 chessboard
Place two Knights, two Rooks, two Bishops and two Kings on a 4x4 chessboard, so that:
1) The Kings are not attacked at all.
2) All other pieces are attacked exactly once.
Ignore color, so every ...
3
votes
2answers
226 views
Is it possible to pack the tetrominoes exactly on the checkboard?
I have this as an exercise but I'm not sure what's the best way to approach it. I've tried the pack them but wasn't able to do so.
I see that having them combined will yield in 10 whites and 10 blacks ...
19
votes
4answers
4k views
Chessboard Rook Problem
Let's say that you have a chessboard (they are 8x8 spaces) with a rook on it (only moves horizontally & vertically). You can put walls horizontally or vertically between the spaces.
If the rook ...
4
votes
3answers
1k views
Total no of squares on a Chess Board
Is there any formula than calculates the total number of squares on chessboard?
For example in a $8\times8$ chessboard, there are squares of sizes $1\times1$, $2\times2$, $\ldots$, $8\times8$.
So I ...
2
votes
1answer
175 views
King of Captures
The player's black King (above) is about to capture the remaining opponent pieces as continuation of his move and 10 white pieces have already been captured on the same turn/move. What is the position ...
10
votes
1answer
428 views
Lights out game on a chessboard
Alice and Bob play a game with an 8×8 grid of lights, all initially on. They take turns choosing a light which is on and turning it off, with Alice going first. However, the grid is rigged such that ...
-3
votes
1answer
167 views
How many positions can the queen control? [closed]
Given the size of board (n) and the position of the queen (r,c) how can we calculate the total number of squares which can be controlled by the queen?
7
votes
4answers
362 views
No Square Allowed
On a Chessboard, place as many chess pieces as you can.
Position the center of each piece on the center of a square.
Avoid placing any 4 pieces at the corners of a square (even a tilted square).
...
-1
votes
1answer
247 views
Colouring an n times n grid using n colours
Inspired by the four colours puzzle.
The goal is to color the squares of an $n\times n$ grid with $n$ colors such that
All squares are coloured.
no two squares of the same color touch at an edge or ...
