Dots and Boxes guide

Strategy with Juno

Dots and Boxes Strategy Guide

Early on, look for lines that give away nothing. Once those run out, the choice is which boxes to give away and who will have to open the next chain. Juno walks through both decisions on the limestone board.

Juno rests her hand under her chin as she studies a move.

Avoid the third side

Before you draw a line, count the sides of the boxes it touches. An interior line touches two boxes. A line along the outside touches one. If your move adds a third side without scoring anywhere, your opponent can take that box and go again.

When every remaining line gives something away, look for chains. These are runs of boxes where taking one opens up the next. A loop is a chain that connects back to itself.

“Check both sides of the rail. The box you missed is usually the one your opponent takes.”

Juno
The red dashes under the top-left box mark a third side. The gold dashes at the bottom mark a safe move.

Short chains first

If you have to give something away, count how many boxes your opponent can take before they have to play elsewhere. Offering one box on its own often costs less than opening a whole row. A run of one or two boxes is a short chain.

Follow the open edges, including around corners. Boxes touching on the grid can belong to different chains if there is already a rail between them.

The gold move offers one box at the top left. The red move opens the three connected boxes along the bottom.

Chains and the double-cross

Say your opponent opens a long chain and there’s another chain elsewhere. You can take the whole first chain, but then you may have to open the next one for them.

To keep control, take all but the last two boxes. Draw the far outside edge of that pair, shown in gold. This is the double-dealing move. It scores nothing, so your opponent gets the turn. They can claim both boxes with their shared edge, the double-cross, and then they still have to open the next chain.

If this is the last chain, take all the boxes you can. In a loop, keeping control costs four boxes instead of two.

“I count what I’ll have to open after I score. Sometimes two boxes are a fair price for making that your opponent’s problem.”

Orion
Two boxes remain in the chain. Close the outside edge in gold and leave their shared middle edge open. Your opponent can take the pair in one move.

The long-chain rule

A long chain has at least three boxes. In the simple case where the endgame comes down to long chains, the long-chain rule helps predict who can keep control. The mathematician Elwyn Berlekamp worked it out, and the History of Dots and Boxes tells how.

On this 36-dot board, Blue goes first and aims for an even number of long chains. Red aims for an odd number. Count connected runs as safe moves disappear. Look at whether a rail will join two runs or split one. Short chains and loops can complicate the count, so check the actual trades before committing.

The claimed middle row separates two long chains. Each open row has three boxes joined by undrawn edges.

Practice on LarkSpark

Start with a bot to practice spotting safe lines. Levels 1 and 2 choose any legal line. Levels 3 to 6 take available boxes. The two strongest bots also look for safe moves. You can practice the double-cross against any of them.

For a human match, join the online queue or sign in to make a private room for a friend. Check your results on the Stats page.

Keep playing

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