How to Play Dots and Boxes

By Jaques of London · Est. 1795 · Updated 2026-08-17

Dots and Boxes is a two-player pen-and-paper game played on a grid of evenly spaced dots. Players alternate drawing horizontal or vertical lines between neighbouring dots, racing to be the one who completes the fourth and final side of each small square. Every completed box earns a point and, crucially, a free extra turn.

Its appeal is the gap between how simple it looks and how deeply tactical it becomes. A five-minute game for young children can turn into a tense strategic contest for adults once both players grasp the chain mechanics. It travels in a pocket, needs nothing more than paper and a pen, and produces a satisfying physical record of the match as the grid fills in.

A little history

The game is traditionally traced to French mathematician Edouard Lucas, who described and popularised it in the 1880s under the name "La Pipopipette". Beyond that attribution, its exact folk origins are unclear, and it is likely that similar line-claiming games existed informally before Lucas wrote about it. It spread widely through the twentieth century as a schoolroom pastime and has since attracted serious mathematical analysis, particularly around the theory of chains and loony moves.

Setting up

1. Decide on a grid size. A 4x4 grid of dots (producing 9 boxes) suits younger players or a short game; a 5x5 grid (16 boxes) or 6x6 grid (25 boxes) gives a fuller tactical contest.
2. Draw the chosen grid of equally spaced dots on paper, with each dot sitting at the corner of an imaginary square.
3. Decide who goes first, for example by a coin flip.
4. Each player chooses a colour, letter, or initial to mark boxes they claim.

How to play

1. Players alternate turns throughout the game. On your turn you draw exactly one straight line connecting two dots that are directly adjacent horizontally or vertically. Diagonal lines are not permitted.
2. A line may only be drawn where no line already exists. You cannot redraw or extend an existing line.
3. If your line completes the fourth and final side of a square box, you claim that box by writing your mark inside it.
4. Whenever you complete one or more boxes on your turn, you must take another turn immediately. This bonus turn continues for as long as you keep completing boxes.
5. Your turn ends as soon as you draw a line that does not complete any box.
6. Play continues, alternating turns in this way, until every possible line on the grid has been drawn and all boxes have been claimed.
7. Count each player's claimed boxes. The player with the higher count wins.

Winning and scoring

The player who has claimed the most boxes when the grid is completely full wins the game. On a standard 5x5 dot grid there are 16 boxes in total; on a 6x6 dot grid there are 25. There is no points threshold: simply count marks at the end and the higher total takes the win. A tie is possible in theory on grids with an even number of boxes, though it is uncommon in practice. In the event of a tie, players may agree to replay on the same grid size or call the game a draw.

The fine points

The most common dispute concerns the bonus turn rule: players sometimes assume their turn ends after claiming a single box, but the rule is clear that you keep taking turns for as long as each new line completes a box. If you complete three boxes in one sequence of moves, all three are yours and you then draw one further line to end your turn. This chain mechanic is not optional.

A second point of confusion arises when a player forgets to mark a box they have just completed. The standard ruling is that the box belongs to whichever player drew the closing fourth side, regardless of whether they remembered to mark it at the time. Both players should watch the grid carefully and raise the omission immediately rather than retrospectively, to avoid disputes later in the game.

How to win more often

• Avoid drawing the third side of any box for as long as possible. Three-sided boxes are gifts: the next player closes them, claims the bonus turn, and can chain through several more.
• Learn to count chains. A chain is a sequence of boxes each sharing a side, so completing one hands your opponent an entire run. Forcing your opponent to open a chain rather than doing so yourself is the foundation of strong play.
• When you must open a chain, sacrifice the shortest one available. Giving away two boxes is far less damaging than giving away six.
• In the mid-game, plan two or three moves ahead rather than reacting locally. Ask yourself which line gifts your opponent the least, not just which line seems harmless right now.
• On larger grids, the player who controls the parity of chain lengths often controls the game. If you can manipulate the board so that chains are mostly even in length, you can frequently engineer the final advantage.

Variations

Larger or Irregular Grids

The standard rules apply to any rectangular grid. Popular sizes include 4x4 dots for a quick beginner game and 8x8 dots for a lengthy strategic contest. Some players use non-square rectangles such as 5x7 to change the parity dynamics and produce a less predictable endgame.

Misere (Least Boxes)

In the misere variant, the objective is reversed: the player who claims the fewest boxes wins. This sounds straightforward but completely inverts standard strategy, since players now try to force their opponent to close boxes rather than avoiding opening chains themselves. It is a useful exercise for experienced players looking for a fresh challenge on a familiar grid.

Trilateral Dots and Boxes

Instead of a square dot grid, this variant uses a triangular grid where dots connect to six neighbours and the target shapes are equilateral triangles rather than squares. A triangle is claimed when its third side is drawn. The game plays differently because chains branch in more directions, making long-range planning harder and rewarding spatial awareness over pure chain theory.

Three-Player Version

With three players taking turns in rotation, the bonus turn rule remains: complete a box and play again. The player with the most boxes at the end wins. Three-player play disrupts the parity logic that governs the two-player game, since the strategic consequences of opening a chain depend on whose turn follows yours and who benefits from the bounce. It is a livelier, less predictable game that suits casual play well.

Dots and Boxes: frequently asked questions