How to Play Boxes Grid Game

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

Boxes Grid Game is a straightforward pen-and-paper game for two players, played on a grid of dots. Players take turns drawing a single horizontal or vertical line between two neighbouring dots, trying to be the one who completes the fourth and final side of any small square. Every completed square is claimed with the player's initial and scores one point.

Its appeal is that the rules fit in two sentences yet the strategy runs surprisingly deep. It needs nothing more than a piece of paper and a pen, which makes it a reliable choice for long car journeys, waiting rooms, or any moment when two people want a quick competitive game without carrying equipment.

A little history

The game is widely known in French as "La Pipopipette" and was first described in print by the French mathematician Edouard Lucas in 1889, who included it in his recreational mathematics writings. Beyond that formal attribution, the game spread internationally through playgrounds and classrooms across the twentieth century; its origins as folk play before Lucas documented it are unclear.

Setting up

1. Agree on grid size. A 5x5 grid of dots (producing 16 boxes) suits beginners; a 6x6 or larger grid gives a longer, more strategic game.
2. Draw the agreed grid of evenly spaced dots on the paper.
3. Decide who goes first, by any fair method such as a coin toss.
4. Each player chooses a symbol, typically their initial, to mark boxes they claim.

How to play

1. Players alternate turns throughout the game.
2. On your turn, draw exactly one straight line connecting two horizontally or vertically adjacent dots that are not yet joined.
3. You may draw any available line on the grid; you are not restricted to any particular region.
4. If the line you draw completes the fourth side of one or more small squares, you claim each completed square by writing your symbol inside it.
5. Whenever you claim at least one box, you must take an additional free turn immediately before play passes to your opponent.
6. If your free turn also completes a box, you claim that box and take yet another free turn. This continues until you draw a line that does not complete any box.
7. When a turn ends without completing any box, play passes to the other player.
8. Continue until every possible line on the grid has been drawn and all boxes are claimed.
9. 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 filled wins the game. On a standard 5x5 dot grid there are 16 boxes in total; a player needs 9 or more to win outright. On a 6x6 dot grid there are 25 boxes; 13 wins. If both players claim exactly half the boxes the game is a draw, which is possible on grids with an even number of boxes.

The fine points

The most common dispute concerns the chain rule: when a sequence of nearly complete boxes sits in a row, the player who is forced to open it hands a long chain of free turns to the opponent. Some players do not realise that free turns extend through multiple consecutive box completions; the rule is that extra turns continue for as long as each new line closes at least one box. Once a line is drawn that closes nothing, the turn ends regardless of what else is on the grid.

A second frequent question is whether diagonal lines are allowed. They are not. Only horizontal and vertical lines between dots count. Similarly, a line must connect two dots that are exactly one step apart on the grid; lines may not skip dots. If a player draws an illegal line, the standard ruling is that the line is erased and the player redraws a legal one; the turn is not forfeited unless both players have agreed in advance to a stricter house rule.

How to win more often

• Count the sides already drawn on each box. Avoid drawing the third side of any box unless you have no better option, as you are handing an easy score to your opponent.
• Think in chains. A sequence of boxes each missing one side becomes a chain that one player will sweep entirely. Try to force your opponent to open chains rather than opening them yourself.
• Sacrifice short chains deliberately. If you must open a chain, prefer opening one of two boxes over one of five. Giving away a small chain can let you control who opens the larger ones.
• Use the double-cross strategy in endgame. When facing a long chain, take all but the last two boxes in it, leaving your opponent with a pair. This forces them to open the next chain rather than you.
• Track parity. Experienced players count the number of chains on the board. An odd number of chains generally favours the player who did not open the first one; adjusting your mid-game moves to influence chain parity is the key skill that separates confident players from beginners.

Variations

Larger or Smaller Grids

The grid size is freely adjustable and dramatically changes the game's character. A 3x3 dot grid (4 boxes) produces a very short, almost luck-based game suitable for young children. A 10x10 dot grid (81 boxes) creates a long strategic contest lasting well over an hour. Most regular players settle on a 6x6 or 7x7 dot grid as the best balance of depth and playing time.

Misere (Fewest Boxes Wins)

In this reversal of the normal objective, the player who claims the fewest boxes wins. All other rules remain identical. The strategic logic flips almost entirely: players try to force their opponents into claiming boxes rather than avoiding the completion themselves. This variant works well with players who already know the standard game well.

No Extra Turn on Completion

Under this simplified variant, completing a box still earns the point but does not grant an extra turn. Play simply passes to the other player after every single line, regardless of whether a box was closed. This removes the chain dynamic entirely and makes the game more accessible for younger children, though it also removes most of the strategic depth.

Triangles Grid

Instead of a square dot grid, players draw on a triangular grid where each cell has three sides rather than four. A player claims a triangle by completing its third side and again takes a bonus turn. The chain logic still applies but the geometry produces different patterns of play. This variant is less commonly known and works best with players who are already comfortable with the standard square version.

Boxes Grid Game: frequently asked questions