Questions tagged [knight-moves]

For puzzles based on the movements of a knight piece in chess.

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votes
1answer
2k views

Conway's Game of Knights

You have 1 chess piece: The Knight The board: Conway's Game of Life Your goal: Survive Basically, you control a standard chess Knight. You are only allowed to move to cells considered "live" (...
30
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5answers
4k views

Switch The Knights

On a small $ 4 \times 3$ chessboard, the top row is filled with black knights and the bottom row with white knights. On each move, you may move one knight (as it moves in chess) to an unoccupied ...
28
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1answer
2k views

Trapping The Knight

A knight is placed on an infinitely large chess board with no edges. It can only visit each square once. What is the smallest number of moves it can make that would cause it to become trapped?
27
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3answers
1k views

The Knight and the Maze 2

I've decided to make another knight and maze puzzle. I felt like I rushed the last one here because I thought of the idea right before the end of maze fortnight and wanted to submit something in time. ...
23
votes
1answer
584 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 ...
22
votes
4answers
3k views

The Knight and the Maze

Shown below is a grid of blue and yellow squares with a knight in the upper left hand corner and green square in the lower right hand corner. Your task is to guide the knight from its starting ...
22
votes
2answers
1k views

Desegregate the Knights

You are given a 3 by 3 chessboard with a knight on each corner, where the knights in the top row are black and in the bottom row are white. On each turn, you may move a knight of either color (the ...
22
votes
2answers
2k views

A thirsty king and his knights

The black king has spent his life fighting over this strange checkered land, the white king has finally been defeated and his troops have surrendered and pledged allegiance to him. Now he's not sure ...
21
votes
3answers
8k views

Knight on a 5 by 5 board

Alice and Bob play a game with a $5\times 5$ chessboard, and a chess knight. Alice begins by placing the knight somewhere on the board. Then, starting with Bob, the players alternate moving the knight ...
18
votes
1answer
415 views

2 Knights tied together in a dangerous maze

2 knight pieces of the game chess were trying to find their way to freedom, while being tied together with a small rope. It was so small that it forced them to be placed in adjacent squares at all ...
18
votes
1answer
824 views

A Knight's Kuromasu

An entry in Fortnightly Topic Challenge #32: Grid Deduction Hybrids You are a knight in the king's army, and you've been tasked with constructing some walls. The problem is, as a knight, you are ...
14
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2answers
1k views

Knight Checker Puzzle

Inspired by this question Here's a quick Knight Checker (a chess variant) puzzle. In case you haven't read the rules to it in the above link, I'll repost them here: Each player begins with 1 ...
12
votes
3answers
2k views

The knight's game

Alice and Bob play the following game on a standard $8\times8$ chessboard. In the very beginning, Alice picks a square on the chessboard and places a knight on this square. Then Bob and Alice ...
11
votes
3answers
878 views

Spell out your moves and reach the exit

You are a knight, far from your familiar checkered board. You have 9 moves to escape, but there are some rules. Each region must contain all letters matching the number move you are making. So, the ...
11
votes
1answer
748 views

4-dimensional Knight's Tour

Imagine a 4-dimensional chess board, but with only 4 squares a side. So, $4\times4\times4\times4=256$ sub-hypercubes. Your mission - should you choose to accept - is to: Find a Knight's Tour Four ...
10
votes
3answers
696 views

A knight chased by three knights

Two players are playing a variant of chess on a 8x8 grid. The first player controls a white knight that starts in the top-left corner. The second player controls three black knights that start in the ...
10
votes
5answers
1k views

Knight on the keyboard

You are given a QWERTY keyboard, and are allowed to choose where you wish to start. You are only able type in the same way a knight is able to move on a chessboard (but in this case, on the keyboard). ...
10
votes
1answer
692 views

Let's revisit this later (a two player knight's game)

Alice and Bob play a game on the following irregular chessboard. (Note the blacked out squares are not legal moves.) Alice starts the game by placing a knight on any square she chooses. They then ...
9
votes
1answer
141 views

The Trials of Sir PacMan

While this is too late for the Rare and Endangered topic challenge, it was inspired by it. I had to take a break from Puzzling for a bit, so I missed some really fun looking challenges, but now I'm ...
8
votes
2answers
203 views

A knight chased by four knights

This is a follow up to A knight chased by three knights Two players are playing a variant of chess on a 11x11 grid. The first player controls a white knight that starts in the centre square. The ...
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
7
votes
2answers
541 views

Seven Impatient Knights

Source On a $3\times3$ chess board, you must place seven knights according to the following rules: Immediately after placement, the knight must move to an unoccupied spot using a standard knight's ...
7
votes
2answers
541 views

Create an impossible knight transformation

Some examples: Desegregate the Knights and Switch The Knights You must give two 8x8 chess board positions that have any number of black and white knights. Both boards must have the same number of ...
7
votes
3answers
263 views

Knight Battle: The Face-off

Knight Puzzle Imagine a chessboard like this: You are the white knight and can move as a knight does in chess. Example: Your goal is to visit every square on the board using legal chess knight moves ...
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 ...
6
votes
1answer
173 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 ...
6
votes
4answers
337 views

Knight's Tour on a cube surface

You are doing a knight's tour, but this time, it's on the surface of a cube with chessboard faces. If you move to a square on the same face you started, everything works just like on a normal ...
6
votes
3answers
264 views

Gimped Knight on a Torus

Place a knight on a toroidal $100 \times 100$ board (i.e. the edges wrap). Restrict his movement to a particular 2-square pattern (gimped from his usual 8-square pattern; for example, he may only be ...
6
votes
2answers
170 views

Swapping knights

On a $3\times3$ grid we have: with $8$ moves needed to swap the red and blue knights. What is the minimum numbers of moves to swap the knights on a $4\times4$ grid?
6
votes
1answer
454 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 ...
4
votes
2answers
377 views

A Pawn is riding this Knight on his Tour

Do a Knight's Tour under the following conditions: 8*8 board You have to alternate between a knight move and a pawn move (advance one square) No pawn advancing of two squares at any time You can not ...
3
votes
3answers
477 views

Two knights jousting on a chessboard

Two knights (black and white, the latter going first) start on opposing corners of a chessboard, moving across it in the usual manner, attempting to capture each other: the knight who first lands on ...
3
votes
0answers
49 views

Knight's Tour Question [duplicate]

A chessboard is an 8 × 8 grid. A knight can move up two squares plus one square to the left or right, or up one plus two squares to the left or right. For a knight in the position shown, determine the ...
2
votes
1answer
751 views

Closed knight tour on 7x7 board

This is an entry for the 17th Fortnightly Challenge. A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square only once. If the knight ends on a ...