Key square
Encyclopedia

In chess
Chess
Chess is a two-player board game played on a chessboard, a square-checkered board with 64 squares arranged in an eight-by-eight grid. It is one of the world's most popular games, played by millions of people worldwide at home, in clubs, online, by correspondence, and in tournaments.Each player...

, particularly in endgames, a key square (also known as a critical square) is a square such that if a player's king
King (chess)
In chess, the king is the most important piece. The object of the game is to trap the opponent's king so that its escape is not possible . If a player's king is threatened with capture, it is said to be in check, and the player must remove the threat of capture on the next move. If this cannot be...

 can occupy it, he can force some gain such as the promotion
Promotion (chess)
Promotion is a chess rule describing the transformation of a pawn that reaches its eighth rank into the player's choice of a queen, knight, rook, or bishop of the same color . The new piece replaces the pawn on the same square and is part of the move. Promotion is not limited to pieces that have...

 of a pawn
Pawn (chess)
The pawn is the most numerous and weakest piece in the game of chess, historically representing infantry, or more particularly armed peasants or pikemen. Each player begins the game with eight pawns, one on each square of the rank immediately in front of the other pieces...

 or the capture of an opponent's pawn. Key squares are useful mostly in endgames involving only kings and pawns. In the king and pawn versus king endgame, the key squares depend on the position of the pawn and are easy to determine. Some more complex positions have easily determined key squares while other positions have harder-to-determine key squares. Some positions have key squares for both White and Black
White and Black in chess
In chess, the player who moves first is referred to as "White" and the player who moves second is referred to as "Black". Similarly, the pieces that each conducts are called, respectively, "the white pieces" and "the black pieces". The pieces are often not literally white and black, but some...

.

King and pawn versus king

In an endgame with a king and pawn versus a king, the key squares are relative to the position of the pawn. Assume that White has the pawn. If the white king can occupy a key square, he can force the promotion of the pawn but accurate play is required. Whether or not the white king can reach a key square depends on the position of the pieces and which player is to move .

Rook pawn

An advanced rook pawn generally has two key squares: the two squares on the adjacent file that touch the promotion square, i.e. b7 and b8 for a white a-pawn, and g7 and g8 for a white h-pawn. The key squares are indicated by the black dots in the position in the diagram on the right. If White's king can reach either of the two key squares, he can keep Black's king away and the pawn will promote. If the Black king can reach any of the squares marked with a dot or an "X", it stops the pawn – either by blocking the pawn or preventing the white king from reaching a key square .

Other pawns

Pawns other than rook pawns have more key squares. If the pawn is on the second, third, or fourth rank, there are three key squares – the square two squares in front of the pawn and the squares to the left and right of that square. The key squares are indicated by the black dots in the diagrams above. If the pawn is on the fifth or sixth rank, there are six key squares: the square in front of the pawn and the squares to the left and right, as well as the square two squares in front of the pawn, and the squares to the left and right of it, see the middle diagram. When the pawn is on the seventh rank, the key squares are the squares on the seventh and eighth rank that touch the pawn's square (see the diagram on the right).

An easy way to remember the key squares is to note that if the pawn is not beyond the midpoint of the board, there are three key squares that are two ranks ahead. If the pawn is on the fifth or sixth rank there are six key squares on the two ranks in front of the pawn. If the pawn is on the seventh rank, the adjoining squares on the seventh and eighth ranks are key squares .

An exception

There is an exception to the key squares rule with a knight pawn on its sixth rank, the defending king in the corner, and the defender to move. In the diagram on the right, with the white king on either the square indicated or the square marked by "x", the position is stalemate
Stalemate
Stalemate is a situation in chess where the player whose turn it is to move is not in check but has no legal moves. A stalemate ends the game in a draw. Stalemate is covered in the rules of chess....

 if Black is to move.

Example from game

This position from a game between Svetozar Gligorić
Svetozar Gligoric
Svetozar Gligorić is a Serbian chess grandmaster. He won the championship of Yugoslavia a record twelve times, and is considered the best player ever from Serbia...

 and Bobby Fischer
Bobby Fischer
Robert James "Bobby" Fischer was an American chess Grandmaster and the 11th World Chess Champion. He is widely considered one of the greatest chess players of all time. Fischer was also a best-selling chess author...

 illustrates key squares. Black to move can keep the white king from reaching a key square by 57... Kb8, so the game is drawn . If the white king moves to the fifth rank, Black takes the opposition
Opposition (chess)
In chess, opposition is the situation occurring when two kings face each other on a rank or file, with only one square in between them. In such a situation, the player not having to move is said to "have the opposition" . It is a special type of zugzwang and most often occurs in endgames with...

. (See Opposition (chess)#Example for more details of this game.)

Blocked pawns

In a position with a blocked pair of pawns (opposing pawns on the same file), the key squares for a player's king extend for three files on either side of the opponent's pawn. In this position, the first king to reach one of his key squares will win the opponent's pawn and protect his own. Even though the white king is farther away from the pawns, White wins if he moves first:
1. Kg3! Kb7
2. Kf4 Kc7
3. Ke5 Kd7
4. Kd5 Kc7
5. Ke6 The white king reaches a key square.
5.... Kc8
6. Kd6 Kb7
7. Kd7 Kb8
8. Kc6 Ka7
9. Kc7 Ka8
10. Kxb6 and White wins (see king and pawn versus king endgame) .

When both kings can reach a key square, a position of mutual zugzwang may occur. The first king to attack the opposing pawn must save a square for attack and defense (the squares marked "x"). With White to move:
1. Kd7! (The only winning move; all other moves lose. For instance, if 1. Kd6?? then 1... Kf5 puts White in zugzwang
Zugzwang
Zugzwang is a term usually used in chess which also applies to various other games. The term finds its formal definition in combinatorial game theory, and it describes a situation where one player is put at a disadvantage because he has to make a move when he would prefer to pass and make no move...

 and Black wins)
1... Kf5
2. Kd6! (now Black in zugzwang)
2... Kg6
3. Kxe6 and White wins .


Example with a protected passed pawn

In this example, White would win if his king can get to any of the key squares (marked by the white dots). Black is able to prevent this and draw
Draw (chess)
In chess, a draw is when a game ends in a tie. It is one of the possible outcomes of a game, along with a win for White and a win for Black . Usually, in tournaments a draw is worth a half point to each player, while a win is worth one point to the victor and none to the loser.For the most part,...

 the game – with or without the move. For example:
1. Kd2 Kd5
2. Ke3 Ke5 (the only move to draw)
3. Kf3 Kf5 (the only move to draw)
4. Kg3 Ke5
5. Kg4 Ke4 (the only move to draw) .


Example with more pawns

In this example, f6 is also a key square for the white king. White to move wins, Black to move draws. (All of Black's moves are the only move to draw.)
1... Kh6!!
2. Kc7 Kg7
3. Kb7 Kh7
4. Kb8 Kh8
5. Kc8 Kg8
6. Kd7 Kh7
7. Ke6 Kg6! .


Any key square by any route

With a king and pawn versus a lone king, it is important to get the attacking king to any key square and the path to a key square is not always direct. For instance, in the diagram on the right, the key squares for the white king are b5, c5, and d5. Black can prevent the white king from reaching a key square directly, e.g.:
1. Kd2 Ke7
2. Kd3 Kd7
3. Kc4 Kc6 (taking the opposition
Opposition (chess)
In chess, opposition is the situation occurring when two kings face each other on a rank or file, with only one square in between them. In such a situation, the player not having to move is said to "have the opposition" . It is a special type of zugzwang and most often occurs in endgames with...

).


However the white king can reach a key square (b5) by going on the other side of the pawn:
1. Kc2! Ke7
2. Kb3 Kd6
3. Kb4 Kc6
4. Kc4 (opposition, and Black is in zugzwang
Zugzwang
Zugzwang is a term usually used in chess which also applies to various other games. The term finds its formal definition in combinatorial game theory, and it describes a situation where one player is put at a disadvantage because he has to make a move when he would prefer to pass and make no move...

) Kd6
5. Kb5

or
4... Kb6
5. Kd5

and the white king has occupied a key square and has a winning position .

See also

  • Corresponding squares
    Corresponding squares
    Corresponding squares in chess occur in some chess endgames, usually ones that are mostly blocked. If squares x and y are corresponding squares, it means that if one player moves to x then the other player must move to y in order to hold his position...

  • Chess endgame
  • Triangulation
    Triangulation (chess)
    Triangulation is a tactic used in chess to put one's opponent in zugzwang. That is, it gets to the same position with the other player to move, when it is a disadvantage for that player to move, e.g. he has to give up a blockade and let the other player penetrate his position...

  • Opposition
    Opposition (chess)
    In chess, opposition is the situation occurring when two kings face each other on a rank or file, with only one square in between them. In such a situation, the player not having to move is said to "have the opposition" . It is a special type of zugzwang and most often occurs in endgames with...

  • Zugzwang
    Zugzwang
    Zugzwang is a term usually used in chess which also applies to various other games. The term finds its formal definition in combinatorial game theory, and it describes a situation where one player is put at a disadvantage because he has to make a move when he would prefer to pass and make no move...

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