Questions tagged [checkerboard]

A puzzle involving checkerboards: grids of squares alternating black and white in color, most commonly an 8x8 board.

Filter by
Sorted by
Tagged with
4
votes
1answer
124 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
430 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
727 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
841 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
11
votes
3answers
418 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. Consider this a part two of this question: How many total checkmates can you ...
6
votes
2answers
769 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
199 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
469 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
359 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
170 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 ...
7
votes
4answers
339 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 ...
16
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
355 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 ...
5
votes
1answer
280 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
259 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
189 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
415 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
149 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
268 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
342 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
370 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
273 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
217 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
170 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
387 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
160 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
315 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
227 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 ...
6
votes
3answers
2k views

Coloring an n by n grid with four colors

This is a generalization of Place 4x12 detainees on a 7x7 grid of cells. The goal is to color the squares of an $n\times n$ grid with four colors such that at most one square is uncolored no two ...
9
votes
3answers
273 views

The Flea Circuit

Starting on a square of the checkerboard, "The Flea" is trained to jump to the center of another square. Then it keeps jumping (center to center) from square to square all around the board. It is ...
27
votes
3answers
4k views

16 pawns on a chess board with no three collinear: how do I go about solving this?

Here's a problem that was posed to me but I haven't seen anything about it anywhere online! I'm beginning to wonder if I'm just getting played! You have a chessboard and sixteen pawns. The puzzle is ...
23
votes
1answer
556 views

The life of a Knight: Conway style

So I was thinking about Conway's game of life and the ridiculous kinds of patterns that can be made (Things that move across infinite space etc) and then I thought, hey could a chess knight do this as ...
7
votes
1answer
275 views

Least amount of moves is required

You have 8x8 board and 9 identical pieces placed in a 3x3 square at the bottom left corner of the board. You are going to play a very simple game. Your task is to move these 9 pieces to the 3x3 square ...
5
votes
3answers
399 views

Place 16 queens in a $16\times 16$ board peacefully, also in subboards!

What is the smallest number, $n$ in which $n$ queens can live in a $n\times n$ board peacefully? Of course not more than 8. ☺ (read about the eight queen puzzle) But this was not the question. ...
10
votes
1answer
157 views

Combinatorial Agriculture, part 2

Your 64 acre square farm has been doing well and you decide to expand with an orchard. The orchard is also in the form of an 8-by-8 square of subplots, each of which can hold one tree. You have 3 each ...
3
votes
1answer
238 views

Filling a chessboard with -1, 0 and 1

You have a standard chessboard $(8\times8)$. And you have a lot of numbers from the set $[-1, 0, 1]$. You have to place one number in each square so that the sums on each row, column, and the two ...
40
votes
4answers
4k views

Could you solve a chessboard math puzzle at gunpoint?

Professor Veryevil pointed the gun at Shirley Knowsalot. "And why shouldn't I just kill you now?" asked the professor. "What about your shtick where you always give the hero a math puzzle that ...
8
votes
2answers
812 views

Eight queens on the chessboard with mirrors

A 8-by-8 chessboard has two mirrors added on its left and right margin. The mirrors reflect the queen moves so that a queen threatens additional squares on the board. A queen threatens all squares in ...
2
votes
1answer
277 views

Crippled King Crossing a Canyon - Up and Down

Please don't flag me. I am not a duplicate of Crippled King Crossing a Canyon. What are the chances now, if the crippled king only can't walk up and down? The rest of the rules are the same as ...
8
votes
1answer
666 views

Jepetto's punctured chessboard [duplicate]

Jepetto the toymaker was thinking about a new toy to add to his tiling product line. His new design involved a punctured chessboard: an ordinary $8 \times 8$ chessboard, except with a single square ...
19
votes
4answers
3k views

Mutilated chessboard

Remove the square in the top-left corner of a $2015 \times2015$ chessboard. Can the remaining mutilated chessboard be tiled with $1\times4$ and $4\times1$ rectangles?
2
votes
2answers
152 views

Two sums on a chessboard

There is an $n\times n$ chessboard with an even positive integer $n$. We put all the numbers $1,2,...,n^2$ into the squares of the chessboard, where each number appears once and only once and each ...
6
votes
1answer
163 views

Knight on a rectangular chessboard

On a rectangular $ 4 \times 2016 $ chessboard, a knight begins in the lower left corner, makes several knight moves, visits all squares of the chessboard at least once and in the end returns to the ...
3
votes
1answer
493 views

Black and white queens on an 8x8 chessboard

What is the largest number of queens that can be placed on a regular $8\times8$ chessboard, if the following rules are met: A queen can be either black or white, and there can be unequal numbers ...
6
votes
5answers
3k views

A chess board and a coin! [closed]

You have a standard chessboard, consisting of $64$ squares ($32$ white and $32$ black) each of dimensions $4\times4$ cm, and you have a standard coin of $2$ cm diameter with tail and head. You flip ...