Triangulation: the king that walks a triangle

Sometimes your position is right but it is your move, and that spoils everything. Then the king can walk around three squares in a triangle and come back. The same position, but now your opponent has to move.

In short: A way of losing a tempo: the king walks around a triangle and returns to the same square, so that the opponent is to move in the same position.

In many endgames everything depends on who is to move. If you have a position where your opponent would be in zugzwang, but it is your turn, you need to lose a move. One way is to let the king walk around three squares that form a triangle. After three moves the king is back on the same square, but now it is your opponent who has to move.

abcdefgh87654321
White wants Black to be the one to move in this position, but it is White's turn. The hasty 1. c6+ lets Black off: after Kc8 it is a draw. Instead, White wins by walking around a triangle.

The triangle step by step

White's king goes from d5 to e5, from there to d4 and back to d5. Black's king can't do the same, because it has to stay close to the c-pawn and has no triangle of its own to walk around.

abcdefgh87654321

The starting position. Press ▶ or use the arrow keys.

  1. 1.
  2. 2.
  3. 3.…
Open on the analysis board
abcdefgh87654321
The same position with Black to move. Black's king has to leave d7, and then White's king gets through. Black has no triangle of its own to walk around.

Good to know

  • It is all about tempo. Triangulation is a way of losing a tempo on purpose.
  • Not just the king. The queen, rook and bishop can triangulate too. The knight can't.
  • Close kin of the opposition. Often the goal is to take the opposition, so that the opponent's king has to give way. Read more in endgames: the opposition.

Frequently asked questions

Why can't the opponent do the same?

The opponent's king often has less room. In the example, Black's king has to stay close to the c-pawn and has no triangle of its own to walk around.

Can other pieces triangulate?

Yes. The king, queen, rook and bishop can all do it, but the knight can't.

Updated November 14, 2026