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This Canvas Knights Tour is a Chess training puzzle to help you memorize the chess board and the possible moves for a knight. A knight starts at any square of the board and moves to the remaining 63 squares without ever jumping to the same square more than once.
A default chess board contains 64 squares in an 8×8 grid. On this game you could set the grid size to as small as 4×4 or as big as over 100×100, though you’ll have to do a lot of scrolling if you make the board 10,000 plus squares. đ
Canvas Knight’s Tour Game Online
Chess players can start this chess inspired game by clicking in the window below.
Alternatively you can play this chess game for free as a web application here.
Canvas Knights Tour Chess Puzzle Play Instructions
How to Play
Move the knight around the board remaining 63 squares without ever jumping to the same square more than once.
- Game Controls
- The game is presented as a 10×10 grid of squares. Select the 8×8 grid to simulate a chess board. The squares can be changed using the control at the top of the screen.
- Click in a blank square to make the first move.
- Moves can be undone using the reverse undo button at the top of the screen.
- A knight moves to a square that is two squares horizontally and one square vertically, or two squares vertically and one square horizontally. Visit every square once only until you complete the entire board..
- Knight’s Tour Solutions
- There are two solutions to this famous chess puzzle. These solutions are known as the Closed Knight’s Tour and The Open Knight’s Tour.
- The Closed Knight’s Tour are those in which the knight’s last move is one knight’s move away from the initial position. The knight’s path forms a loop whereby the knight can always go through the same path. There are 26,534,728,821,064 possible closed tours on a standard 8 by 8 playing board.
- There are 19,591,828,170,979,904 possible Knight’s Tours in total.
- The Open Knight’s tour is when the knight can’t reach its starting square from its final position. The knight can’t go through the same path.
- Getting stuck? See the images below for a solution.
- Computers can run algorithms to find knight’s tour solutions on a given board.
- Brute force: only works on small boards
- Divide-and-conquer: break boards into smaller component boards to solve
- Warnsdorff’s rule: heuristic which moves each forward move to whichever square has the fewest remaining forward moves without revisiting an already visited square
- Neural network solutions: each legal move is treated as a neuron
- For more detail on the Knight’s Tour, checkout the Wikipedia entry or check out this GeeksforGeeks backtracking article..
- There are two solutions to this famous chess puzzle. These solutions are known as the Closed Knight’s Tour and The Open Knight’s Tour.
Possible Knight’s Tour Solutions Based on Board Side
| Cells Per Side | Total Squares | Open & Closed Directed Tours |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 0 |
| 3 | 9 | 0 |
| 4 | 16 | 0 |
| 5 | 25 | 1,728 |
| 6 | 36 | 6,637,920 |
| 7 | 49 | 165,575,218,320 |
| 8 | 64 | 19,591,828,170,979,904 |
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Free Knights Tour Puzzle For Chess Players Screenshot
Mobile Friendly Cross Browser Support
This game is rendered in mobile-friendly HTML5, so it offers cross-device gameplay. You can play it on mobile devices like Apple iPhones, Google Android powered cell phones from manufactures like Samsung, tablets like the iPad or Kindle Fire, laptops, and Windows-powered desktop computers. All game files are stored locally in your web browser cache. This game works in Apple Safari, Google Chrome, Microsoft Edge, Mozilla Firefox, Opera and other modern web browsers.
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