Chess Strategy by Edward Lasker (inspirational novels .TXT) π
1. ... K-Q3
2. P-B3 K-B3
3. K-B4 and wins.
This settles all typical end-games of King and pawn against King. There is, however, one exception to the rules set out, namely, when a ROOK'S PAWN is concerned. Here the isolated King always succeeds in drawing if he can reach the corner where the pawn has to queen, for he cannot be driven out again. The Rook's pawn affords another opportunity for the weaker side to draw. Diagram 55 will illustrate this, and similar positions are of frequent occurrence in practice. Here Black draws with 1. ... K-B5. As he threatens to capture the pawn, White must play 2. P-R4. Then after the reply K-B4, White is still unable to cut the opponent off from the corner with K-Kt7, as the loss of the pawn is still threatened through K-Kt5. And after 3. P-R5 Black attains the position which is typical for this end-game, namely the opposition against the King on the Rook's file. The latter cannot escape without giving up the contested corner, and the game is drawn. 3. ... K-B3; 4. K-R7, K-B2; 5. K-R8, K-B1; 6. P-R6, K-B2; 7. P-R7, K-B1: and White is stalemated.
Diag. 55
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Position 2.βWhite: K at QKt3, RKR2
Black: K at K4
1. K-B4, K-Q3; 2. R-K2, K-B3; 3. R-K6ch, K-Q2; 4. K-Q5, K-B2; 5. K-B5, K-Q2; 6. R-K1, K-B2; 7. R-K7ch, K-Q1; 8. K-Q6, K-B1; 9. K-B6, K-Kt1; 10. R-K1, K-R7; 11. R-K8, K-R3; 12. R-R8 mate.
Position 3.βWhite: K at QRsq, B at KKtsq, BatKKt2
Black: K at KRsq
1. K-Kt2, K-Kt2; 2. K-B3, K-B3; 3. K-Q4, K-K3; 4. B-R2, K-B3; 5. K-Q5, K-B4; 6. B-K5, K-Kt4; 7. K-K6, K-Kt5; 8. B-QR8, K-Kt4; 9. B-B3, K-Kt3; 10. B-KB6, K-R3; 11. K-B7, K-R2; 12. B-Kt5, K-R1; 13. B-Q1, K-R2; 14. B-B2ch, K-R1; B-B6 mate.
It is more difficult to mate with KNIGHT AND BISHOP. It is only possible to mate on a corner square commanded by the Bishop, as the following argument shows clearly. A mating position in the corner which the Bishop does not command would have to be of the type set out in Diagram 42. Here the Bishop plays on White squares, and the Knight in order to checkmate must move on to a White square; in other words, he must come from a Black one. Therefore, when the Bishop checked on the previous move and drove the King away, the King had the option of two black squares, and had no need to go into the corner one. He is only mated in consequence of a wrong move.
βββββββββββββ
8 | | | | | | ^K | | #K |
|βββββββββββββ|
7 | | | | | | ^Kt| | |
|βββββββββββββ|
6 | | | | | | | | |
|βββββββββββββ|
5 | | | | | | | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | | | | | |
|βββββββββββββ|
2 | | | ^B | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 42
As stated above, however, it is possible in all cases to mate in the corner square which is of the same colour as the Bishop. The King is driven into the corner in this way: the Knight cuts him off such squares as the Bishop does not command. Diagram 43 will serve as an illustration.
1. K-Kt2, K-Kt2; 2. K-B3, K-B3; 3. K-Q4, K-K3; 4. Kt-Kt3, K-B3; 5. B-B3, K-Kt4; 6. K-K5, K-Kt3; 7. Kt-K4, K-Kt2; 8. K-B5, K-R1; 9. K-B6, K-Kt1; 10. Kt-Kt5, K-R1; 11. Kt-B7ch, K-Kt1; 12. B-K4, K-B1; 13. B-R7, K-K1; 14. Kt-K5, K-Q1; 15. Kt-B4, K-B2; 16. B-K4, K-Q2; 17. K-B7, K-B2; 18. K-K7, K-B1; 19. K-Q6, K-Q1; 20. B-Kt6, K-B1; 21. Kt-R5, K-Q1; 22. Kt-Kt7ch, K-B1; 23. K-B6, K-Kt1; 24. K-Kt6, K-B1; 25. B-B5ch, K-Kt1; 26. Kt-B5, K-R1; 27. B-K6, K-Kt1; 28. Kt-R6ch, K-R1; 29. B-Q5 mate.
βββββββββββββ
8 | ^B | | | | | | | #K |
|βββββββββββββ|
7 | | | | | | | | |
|βββββββββββββ|
6 | | | | | | | | |
|βββββββββββββ|
5 | | | | | | | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | | | | | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | #K | | | | | | | ^Kt|
βββββββββββββ
A B C D E F G H
Diag. 43.
It is impossible to force a mate with the KING AND TWO KNIGHTS. On the same grounds as given with respect to Diagram 42, the mate can only be attained through the opponent making a bad move. But a mate can be forced if the weaker side has a spare move which prevents the stalemate, e.g. Diagram 44.
βββββββββββββ
8 | | | #K | | | | | |
|βββββββββββββ|
7 | | | | | | #P | | |
|βββββββββββββ|
6 | | | | | | ^Kt| | |
|βββββββββββββ|
5 | | ^K | | | | | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | | ^Kt| | | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 44
1. Kt(K3)-Q5, K-Kt2; 2. K-B5, K-R3; 3. K-Kt4, K-Kt2; 4. K-Kt5, K-R2; 5. Kt-B7, K-Kt2; 6. Kt(B7)-K8, K-R2; 7. Kt-Q6, K-Kt1; 8. K-Kt6, K-R1; 9. Kt-Q7, P-B4; 10. Kt-Kt5, P-B5; 11. Kt-B7 mate.
Having decided as to the smallest amount of material advantage with which it is possible to force a mate, we will now turn our attention to simple game endings (still without pawns). To judge such endings correctly, it will only be necessary to find out whether it is possible to obtain the minimum advantage mentioned. It is sufficient to discuss cases in which a piece on the one side plays against a stronger one on the other, because in endings where several pieces are left on either side, fortuitous circumstances are generally the deciding factors, and it would be impossible to characterise and classify positions of that kind, by giving typical illustrations. Besides, they are reduced sooner or later by exchanges to such end-games as have been treated already, or are going to be shown now.
The Queen wins against any other piece; the Rook alone may give trouble. In Diagram 45 we illustrate a
βββββββββββββ
8 | | #K | | | | | | |
|βββββββββββββ|
7 | | #R | | | | | | |
|βββββββββββββ|
6 | | | ^K | | | | | |
|βββββββββββββ|
5 | ^Q | | | | | | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | | | | | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 45
position which is one of the most favourable to the weaker side.
1. Q-R6 leads to nothing, as R-B2ch follows, and after 2. K-Kt6 Black forces a stalemate with R-B3ch.
It is necessary for White to gain a move in this position; in other words, White must try to transfer to the other side the onus of having to move. If then the Rook moves away from the King, it gets lost after a few checks, or if Blackβs King plays to B1, the Rook is equally lost through Q-R6.
White plays therefore: 1. Q-K5ch, K-R1; 2. Q-R1ch, K-Kt1; 3. Q-R5, and wins. For example, 3. β¦ R-B2; 4. Q-K5ch, K-R2; 5. Q-K3ch, K-R1; 6. Q-K8ch, and so on.
The Rook can win against a minor piece in exceptional cases only. In endings of ROOK AGAINST BISHOP the weaker King must take refuge in a corner square of different colour from that of his Bishop. For instance, Diagram 46:
βββββββββββββ
8 | | | | | | | | #K |
|βββββββββββββ|
7 | | | | | | | | |
|βββββββββββββ|
6 | | | | | | | | ^K |
|βββββββββββββ|
5 | | | | | | | | ^R |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | #B | | | | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 46.
1. R-Q5, B-B5 (or R2); 2. R-Q8ch, B-Kt1, and Black is stalemate unless the Rook leaves the eighth Rank. Any outside square which is not of the same colour as that of the Bishop is dangerous for the King. Imagine the pieces in Diagram 46 shifted two squares towards the centre of the board, as in Diagram 47, and White wins with
1. R-QKt5 B-R5
2. R-Kt8ch B-K1
3. R-R8
The Bishop is lost, as it is Blackβs move.
In endings of ROOK AGAINST KNIGHT, the weaker side loses, where the Knight is cut off from his King.
For instance, in Diagram 48, 1. R-Q5! In this βoblique oppositionβ the Rook takes four of the Knightβs squares: 1. β¦ Kt-K8; 2. K-B5, Kt-B7; 3. K-K4, Kt-R6 (Kt-Kt5?; 4. R-Kt5ch! wins the Knight). In this ending there is always a fatal check at some point, and the position in the
βββββββββββββ
8 | | | | | | #K | | |
|βββββββββββββ|
7 | | | | | | | | |
|βββββββββββββ|
6 | | | | | | ^K | | |
|βββββββββββββ|
5 | | | | | | ^R | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | #B | | | | | | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 47
diagram is not in any way a chance win. 4. K-Q3, K-B2; 5. R-QR5, Kt-Kt8; 6. R-R1, and wins.
βββββββββββββ
8 | | #K | | | | | | |
|βββββββββββββ|
7 | | | | | | | | |
|βββββββββββββ|
6 | | | | | | | ^K | |
|βββββββββββββ|
5 | | | ^R | | | | | |
|βββββββββββββ|
4 | | | | | | | | |
|βββββββββββββ|
3 | | | | | | #Kt| | |
|βββββββββββββ|
2 | | | | | | | | |
|βββββββββββββ|
1 | | | | | | | | |
βββββββββββββ
A B C D E F G H
Diag. 48
As soon as the Knight can obtain the Kingβs support the game is drawn even when the King is already forced on to the edge of the board.
PositionβWhite: K at K6, R at K5
Black: K at K1, Kt at QR2
1. R-QB5, K-Q1; 2. K-Q6, Kt-B1ch; 3. K-B6, Kt-K2ch, draw. In this case the King must avoid the corners, as the Knight would be bereft of his efficiency.
PositionβWhite: K at KR6, R at KR4
Black: K at KR1, Kt at K2
1. R-K4, Kt-Kt1ch; 2. K-Kt6 and wins.
We come now to the more interesting part of end-game play, namely, PAWN ENDINGS. The best course will be first to study how to turn a material superiority in pawns to decisive advantage, after which we shall note particular positions, in which a win is possible with an equality or even an inferiority in pawns.
The ending of KING AND PAWN AGAINST KING is one of the simplest albeit one of the most important of elementary cases. The stronger side will evidently try to queen the pawn. But generally this is not possible if the adverse King has command of the queening square. One important condition, though, must be complied with: the weaker King must move into βopposition,β and βoppositionβ is one of the characteristic and deciding factors in most pawn endings. It is absolutely necessary for the learner to understand fully the meaning of the term βopposition,β and its value in elementary cases This knowledge is of far reaching influence in end-games.
βββββββββββββ
8 | | | | | | | | |
|βββββββββββββ|
7 | | | | | | | | |
|βββββββββββββ|
6 | | | | | | #K | | |
|βββββββββββββ|
5 | | | | ^P | | | | |
|βββββββββββββ|
4 | | | | | ^K | | | |
|βββββββββββββ|
3 |
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