![]() Neither player knew whether the position was a win for the player with the knights (Korchnoi).Įven when the position is a theoretical win, it is very complicated and difficult to play correctly. He undertook this checking after the very ending occurred in a critical variation of his post mortem analysis of a game he lost to Korchnoi in the 1980 Phillips and Drew Tournament in London. John Nunn analyzed the endgame of two knights versus a pawn with an endgame tablebase and stated that "the analysis of Troitsky and others is astonishingly accurate". Troitsky showed that "on any placement of the black king, White undoubtedly wins only against black pawns standing on and above". In fact, it can require up to 115 moves by White (assuming perfect play), so in competition often a draw by the fifty-move rule will occur first. However, the checkmate procedure is difficult and long. the position would be lost no matter where the kings are." Karsten Müller and Frank Lamprecht, Fundamental Chess Endings 2001Īn example of the application of this rule is given in the diagram Müller and Lamprecht right ". If the pawn is securely blockaded by a white knight no further down than the line, then Black loses, no matter where the kings are. The Russian theoretician Troitsky made a detailed study of this endgame and discovered the following rule: The line, assuming White has the two knights and Black the pawn, is shown left. The Troitsky line (or Troitsky position) is a key motif in chess endgame theory in the rare but theoretically interesting ending of two knights versus a pawn. Another reason is that the pawn can block its own king's path without necessarily moving (e.g. The reason that checkmate can be forced is that the pawn gives the defender a piece to move and deprives him of a stalemate defense. The pawn does not move it assists mate by blocking the king's escape.Įven though two knights cannot force checkmate (with the help of their king) against a lone king (with the exception of positions where White wins in one move), decreasing the material advantage and allowing the defending king to have a pawn can actually allow for a forced checkmate. Then, when the block on the pawn is removed, the knight that was used to block the pawn can be used to checkmate. ![]() When the defender has a single pawn, the technique (when it is possible) is to block the pawn with one knight, and use the king and the other knight to force the opposing king into a corner or nearby the blocking knight. If the side with the knights carelessly captures the other side's extra material, the game devolves to the basic two knights endgame, and the opportunity to force checkmate may be lost. Troitsky, who discovered the Troitsky line, a line on or behind which the defending side's pawn must be securely blockaded for the attacking side to win. These positions were studied extensively by A. The winning chances with two knights are insignificant except against a few pawns. The extra material of the defending side provides moves that prevent the defending king from being stalemated. ![]() Paradoxically, although the king and two knights cannot force checkmate of the lone king, there are positions in which the king and two knights can force checkmate against a king and some additional material. The knight on d2 could be on c3 or a3 instead, and the white king could be on a3 instead. It does not store any personal data.Checkmate position, but it cannot be forced from the position with the c2 knight relocated to e2. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. The cookie is used to store the user consent for the cookies in the category "Performance". This cookie is set by GDPR Cookie Consent plugin. The cookie is used to store the user consent for the cookies in the category "Other. The cookies is used to store the user consent for the cookies in the category "Necessary". The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The cookie is used to store the user consent for the cookies in the category "Analytics". These cookies ensure basic functionalities and security features of the website, anonymously. Necessary cookies are absolutely essential for the website to function properly.
0 Comments
Leave a Reply. |
Details
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |