# Questions tagged [knight-moves]

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

43 questions
Filter by
Sorted by
Tagged with
8k 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 ...
• 32.4k
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" (...
• 6,649
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?
• 30.3k
2k 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. ...
• 136k
1k views

### The Knight's Romp

Recently I was messing around with a singular knight on a chess board, and I came up with an interesting dilemma. Can you move a knight, from starting on any square, such that its path covers every ...
• 3,449
856 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 ...
• 6,053
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 ...
• 32.4k
4k 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 ...
• 136k
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 ...
• 1,498
1k views

### Knight tour on a racetrack

Help the chess knight complete four clockwise laps on this racetrack, so that he lands on every square and never lands on the same square twice! The final square the knight lands on will be the same ...
• 32.4k
9k 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 ...
• 32.4k
936 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 ...
• 6,649
508 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 ...
• 2,237
2k 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 ...
• 9,924
615 views

### Sudoku - less than 6 and knight's move

In the following sudoku, the numbers on the outside indicate the first number less than 6 seen in that row/column. In addition, a number in the sudoku cannot be a knight's move from an identical ...
• 8,870
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 ...
• 45.6k
865 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 ...
• 36.2k
821 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 ...
• 35.6k
2k views

### How can the knight traverse a chessboard to make a path that sums to 100

THE KNIGHT'S CENTURY. THEN Dr. Bates drew on a large sheet of paper a reduced chessboard of twenty-five squares, and numbered it in the manner shown in our diagram. He then placed a chess knight on ...
• 11.8k
910 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 ...
• 6,649
1k views

### Knight on the keyboard [closed]

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). ...
• 5,868
231 views

### Camel-eon 8x8 tour

This question is inspired by the Chameleon 8x8 tour puzzle. A knight is a chess piece that moves by jumping to a square $\sqrt 5$ units from its location. (The more conventional way to put it is that ...
• 1,911
946 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 ...
• 9,469
1k views

### On an 8x8 board, a knight is on the second square of the last row. Only moving upwards, how many routes to the top?

In chess, a knight moves in L-shaped jumps consisting of two squares along a row or column plus one square at a right angle. If it can only move up the board, how many routes can it take to reach any ...
• 109
326 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 ...
• 36.2k
534 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 ...
• 1,820
176 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 ...
• 8,216
5k views

### A Sudoku with only four given digits and some more rules

This is one of the hardest Sudokus (and one of the best Sudokus) I have ever seen, with only 4 given digits. There are some more rules too: First, normal Sudoku rules apply here. Both the diagonals ...
• 1,754
222 views

### A Knight's Tour

A lonely chess knight stands on a cell somewhere in the first row of a 3x13 board, and elsewhere there is a castle. The knight takes a tour of all the remaining 37 cells of the board, missing just the ...
968 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
• 81
633 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 ...
• 7,016
638 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 ...
• 17.5k
316 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 ...
• 2,389
383 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 ...
• 3,134
651 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 ...
• 6,656
241 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?
• 35.6k
839 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 ...
• 760
197 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 ...
• 2,366
302 views

### 7x7 Knight's tour: Minimal proof for universality on black squares

We already know that 7x7 board cannot have a closed Knight's tour, and it cannot start or end at a white square if R1C1 is black. But our knowledge about 7x7 Knight's tour is still limited. So here is ...
• 15.1k
412 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 ...
• 1,820
585 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 ...
• 696
58 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 ...
1k 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 ...
• 17.9k