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In chess, there are a number of ways that a game can end in a draw, in which neither player wins.Draws are codified by various rules of chess including stalemate (when the player to move is not in check but has no legal move), threefold repetition (when the same position occurs three times with the same player to move), and the fifty-move rule (when the last fifty successive moves made by both ...
The king (♔, ♚) is the most important piece in the game of chess. It may move to any adjoining square; it may also perform, in tandem with the rook, a special move called castling. 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 immediately.
In this diagram, the black king is on its sixth rank, but with Black to move it does not have the opposition. If the black king moves, the white king simply goes to d2 (best) or d1. If the pawn advances to d2, the white king moves to d1, and a draw results as above. [30]
White is to move and draw in this position. At first inspection, it appears that White has no hope in drawing. His king is well outside the square of the black pawn (see King and pawn versus king endgame § Rule of the square) and the king is a long way from supporting his own pawn. However, White can draw by making king moves that have dual ...
In this diagram, the only way for White to make progress is to get their rook to b8, but this allows the black king to get to the c-file and draw. 1. Rh2 Kd7 2. Rh8 Kc7! 3. Rb8 Rc1 4. Rb2 Rc3! This is the simplest way for Black. Now there is no way to force the black king away from the c-file. 5. Rb7+ Kc8 6. Rg7 Rc1. and Black draws.
In the diagrammed position, if it is Black's turn to move, he moves 1... Rb4. and then his rook will reach his third rank, and the position is basically the same as the diagram above, with colors reversed, e.g. 2. Ke6 Rb6+ 3. Kf5 Rc6 establishes the standard defensive setup. If White is to move, he wins with accurate play by 1. Ke6 Kf8
f7 (following move 1), e5 (move 4), d7 (move 6), c5 (move 13), and b7 (move 14) In this position, White has completed phase 1, driving the black king to the h8-corner. Since White has a light-squared bishop, the knight must be used to control the dark squares on the 8th rank, forcing the black king to the h1-square.
A generalization of the king's graph, called a kinggraph, is formed from a squaregraph (a planar graph in which each bounded face is a quadrilateral and each interior vertex has at least four neighbors) by adding the two diagonals of every quadrilateral face of the squaregraph. [5] In the drawing of a king's graph obtained from an chessboard ...