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There are four different ways to draw a player in Chess. (besides simply offering a draw and having the opponent accept)

Firstly there is drawn by repetition. This occurs when the position is repeated over three moves.

First and a half, there is perpetual check. This term describes a situation where one could continually check an opponent's king. Technically this would only result in a forced draw if the position is repeated three times, constituting a draw by repetition. A typical player will realize the implications of the moves and offer a draw.

Secondly there is stalemate. Stalemate occurs when a player has no legal moves. Typically this occurs when one opponent is reduced to just a king and is surrounded on all sides by attacking pieces. This causes an immediate draw, to the chagrin of many a player.

Thirdly there is drawn by insufficient material. This situation occurs when there is no possible way to force checkmate on an opponent with the pieces on the board. Examples would be a king versus king, or a king and minor piece vs. lone king.

Fourthly there is the fifty-move rule. If fifty moves are made without moving a pawn and no captures made, a player can claim a draw. This is only a draw if either player claims it.
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