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| Line 21: |
Line 21: |
| | <span id="BishopPawn7"></span> | | <span id="BishopPawn7"></span> |
| | =Bishop Pawn on 7th= | | =Bishop Pawn on 7th= |
| − | A similar draw motive occurs here with [[stalemate|stalemate]] after the queen captured the bishop pawn.
| + | work in progress ... |
| − | The winning area of the attacking king requires a bit more calculation.
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| − | Critical squares for the [[Distance|Chebyshev Distance]] are on the same rank on the [[Pawn Spans|luff-side]] two squares apart (i.e. for black pawn on c2, [[Distance|ϑ(♔,e2)]]),
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| − | and the diagonal neighbouring square on the [[Pawn Spans|lee-side]] one rank back (i.e. for black pawn on c2, [[Distance|ϑ(♔,b3)]]).
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| − | <ref>[[Interior Node Recognizer]] implemented in [[IsiChess]]</ref>
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| − | * Attacking king may reduce distance by [[Discovered Check|discovered check]]
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| − | * With a <span style="background-color: #c0ffc0;">distance below two</span> to any of these critical squares, the game is won.
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| − | * <span id="rule3"></span>A <span style="background-color: #cc80cc;">distance of two</span> to any of these critical squares is not sufficient, if the defending king is on the [[Pawn Spans|lee-side]], corner square (i.e. a1), or the 7th/8th (1st/2nd) rank on the knight file (i.e. b1, b2).
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| − | * Exception: attacking king can immediately capture pawn
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| − | {|
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| − | | <fentt border="double" style="font-size:24pt">...Q..../......../......../{....}..../(...){K...}./(.+....){.}./(.kp.+.){.}./{kk.}(...){.}.</fentt>
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| − | | <fentt border="double" style="font-size:24pt">.......Q/......../......../{....}..../(...){K...}./(.+....){.}./(.kp.+.){.}./{k..}(...){.}.</fentt>
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| − | |-
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| − | | Draw
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| − | | Win due to [[Discovered Check|discovered check]]
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| − | |}
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| − | * A <span style="background-color: #cc80cc;">distance of two</span> is required to win the game otherwise
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| − | {|
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| − | | <fentt border="double" style="font-size:24pt">......../......../..Q...../{....}..K./(...){....}./(.+....){.}./(..pk+.){.}./{..k}(k..){.}.</fentt>
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| − | | <fentt border="double" style="font-size:24pt">......../......../.......Q/{....}..K./(...){....}./(.+....){.}./(..pk+.){.}./{...}(...){.}.</fentt>
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| − | | <fentt border="double" style="font-size:24pt">......../......../.......Q/{....}..K./(...){....}./(.+....){.}./(..p.+.){.}./{..k}(...){.}.</fentt>
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| − | |-
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| − | | Draw
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| − | | Win due to [[Discovered Check|discovered check]]
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| − | | Draw since check parried by [[#rule3|Kb1/b2]]
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| − | |}
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| − | | |
| − | =See also=
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| − | * [[Draw Evaluation]]
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| − | * [[Interior Node Recognizer]]
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| − | * [[KPKP]]
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| − | | |
| − | =Publications=
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| − | * [https://en.wikipedia.org/wiki/Reuben_Fine Reuben Fine] ('''1941'''). ''[https://archive.org/details/basicchessending00reub Basic Chess Endings]''. [https://en.wikipedia.org/wiki/George_Bell_%26_Sons Bell & Sons]
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| − | * [https://en.wikipedia.org/wiki/Yuri_Averbakh Yuri Averbakh], Victor Henkin, [https://en.wikipedia.org/wiki/Vitaly_Chekhover Vitaly Chekhover] ('''1986'''). ''Comprehensive Chess Endings 3: Queen Endings''. [https://en.wikipedia.org/wiki/Pergamon_Press Pergamon Press]
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| − | * [[Karsten Müller]], [https://en.wikipedia.org/wiki/Frank_Lamprecht Frank Lamprecht] ('''2001'''). ''[http://www.gambitbooks.com/books/Fundamental_Chess_Endings.html Fundamental Chess Endings]''. [https://en.wikipedia.org/wiki/Gambit_Publications Gambit Publications]
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| − | * [https://en.wikipedia.org/wiki/Reuben_Fine Reuben Fine], [https://en.wikipedia.org/wiki/Pal_Benko Pal Benko] ('''2003'''). ''[https://en.wikipedia.org/wiki/Basic_Chess_Endings Basic Chess Endings]''. [https://en.wikipedia.org/wiki/David_McKay_Publications McKay]
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| − | * [https://en.wikipedia.org/wiki/Yasser_Seirawan Yasser Seirawan] ('''2003'''). ''[https://dl.acm.org/doi/book/10.5555/1200939 Winning Chess Endings]''. [https://en.wikipedia.org/wiki/Everyman_Chess Everyman Chess]
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| | | | |
| | =Forum Posts= | | =Forum Posts= |
Home * Evaluation * Game Phases * Endgame * Queen versus Pawn
The Queen versus Pawn Endgame (KQKP) is usually won by the queen side, in particular if the queen can occupy the pawn's frontspan.
Even if the pawn is ready to promote, supported by its own king, the technique is to come closer with the attacking king, after the defending king was forced to block the promotion square due to a queen check.
However, with rook and bishop pawns on the seventh (second) rank, stalemate is looming with the defending king in the corner.
There are even some rare cases with center and knight pawns where the attacking king hinders its own queen to give check [1].
This endgame with pawn on the 7th rank often occurs after a KPKP pawn race with unstoppable passers, where the cardinality of their frontspans differs by two with the defending side to move.
Rook Pawn on 7th
The draw motive is a stalemate threat, after the defending king blocks its own pawn after a queen check on the neighbouring knight file, so that the attacking king can't come closer.
A Chebyshev Distance of at least four to the promotion square with a Manhattan distance less than eight for the attacking king is necessary to win that game (green area below).
However, there are positions where the attacking king may reduce the distance due to discovered check.
♕
♔
♟♚
♚
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♕
♔
♟♚
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| Draw
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Win due to discovered check
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Bishop Pawn on 7th
work in progress ...
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