Chess related: End Game Studies...
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archduke_piccolo
10-Dec-23, 12:48

End Game Studies...
I like end game studies - the sort of thing which might occur very late in the game, with not much material on the board. One side - usually White - is set a task - win or draw. The emphasis is on method. No move limit is implied, nor, in general a checkmate. It is enough if you achieve a winning position in a move and win study; or, often enough, to draw.

An example of the latter is this famous study by Reti: White to play and draw.


Looks impossible, doesn't it? Black can reel in White's pawn with ease; Black's pawn has a massive 2 square head start even if the WK begins its chase. But I'm here to tell you, it can be done.

But my reason for posting is that late last night - or, to be more accurate, early this morning, this one turned up on my facebook feed. It's a study by Rinck.



White to play...

Check it out. White has a big lead in material, but it is momentary. The rook is attacking both bishops, threatening the one with check, and the other that would leave the knight surrounded. So... what is the task?

White to play... and win!
(Yes, I have solved this one for myself. It is enough that you can achieve a winning position; you don't have to play to checkmate. Give it a go. Surprise yourself!)
archduke_piccolo
06-Jan-24, 12:41

Almost no response.
One person responded - markb46 - with the correct answer. To him: thank you.
No one else responded with even an incorrect answer.

I'll post the solutions here, but clearly, this thread is finished unless someone else wants to take it up.

(a) Study by Reti
1.Kg7 h4
2.Kf6 ... and now
a1) 2...h3 3.Ke6 ... (NOT 3.Ke5??) 3...Kb6 4.Kd6 =
a2) 2...Kb6 3.Ke5 Kxc6 4.Kf4 ... =

(b) Study by Rinck
1.Bg2!! Rxf4+
2.Kg3! ...and now, wherever the rook goes, it is lost:
b1) 2...Rf5 3.Nd6+ Kb8 4.Nxf5
b2) 2...Rf6 3.Nc5+ Kb8 4.Nd7+ ... 5.Nxf6
b3) 2...Rf7 3.Nd6+ ... etc
b4) 2...Rf8 3.Nc5+ ... etc
b5) 2...Rd4 3.Na5+ Kb8 4.Nc6+ ... etc
b6) 2...Rc4 3.Na5+ ... etc or Nd6+ ... etc
b7) 2...Rb4 3.Na5+ Kb8 4.Nc6+ ... etc
b8) 2...Ra4 3.Nc5+ ... etc
b9) all other rook moves place it 'en prise'.
lord_shiva
16-Apr-24, 20:20

Bishop Knight
How do you force mate with bishop and knight?
archduke_piccolo
16-Apr-24, 22:49

@lord_shiva
I'll give a brief broad-brush answer here, but might come back later with something more detailed, or else a link to where you can find information.

1. To begin with checkmate can be forced only in the corners the bishop can reach. So, if your bishop is the light-square one, you have to force the king into a light-square corner: a8 or h1.

2. A checkmate may be delivered anywhere else on the edge, but not forced. However, that very fact can sometimes force the defending king where you want it to go.

3. You begin by forcing the king to the edge of the board, using the pieces to corral the king into a more and more confined space, then...

4. Drive the king to the 'right' corner.

One thing you have to watch for, though. When driving the king towards the corner you want, sometimes the king will make a break TOWARDS the danger corner in order to escape into the open board. That is the possibility that makes the procedure more tricky.
markb56
17-Apr-24, 02:27

Deleted by markb56 on 17-Apr-24, 02:50.
markb56
17-Apr-24, 03:00

Deleted by markb56 on 17-Apr-24, 03:25.
markb56
17-Apr-24, 03:25

Here's my method using 3 corrals
There's probably a faster/better method, but this is the one that has stuck in my head:

CORRAL #1:


Sample moves to get to corral #2 (if black runs towards the Bishop then the job is a lot easier):
1. ... Kd1
2. Kb2 Kd2
3. Bc2 Ke3
4. Kc1 Ke2
5. Bg6 Ke3
6. Kd1 Kf3
7. Kd2 Kf2
8. Bh5 Kg3
9. Ke3 Kh4
10. Be2 Kg3
11. Nc5 Kh4
12. Ne4

CORRAL #2:


Sample moves to get to corral #3:
12. ... Kh3
13. Kf4 Kh4
14. Kf5 Kh3
15. Kg5 Kg2
16. Kg4

CORRAL #3:


Depending on black's moves, mate will follow with B or N:
16. ... Kg1
17. Kg3 Kh1
18. Bf1 Kg1
19. Bh3 Kh1
20. Nc3 Kg1
21. Ne2+ Kh1
22. Bg2#

--OR--

16. ... Kh2
17. Bf1 Kg1
18. Bh3 Kh2
19. Nc3 Kg1
20. Kg3 Kh1
21. Bg2+ Kg1
22. Ne2#




markb56
17-Apr-24, 15:07

Observations:
Corral #2 is self contained in that it doesn't matter where white's K is -- white's K can take a leisurely walk over to g4 to make corral #3.

White's N moves between the "e" and "c" files whenever the opportunity arises: Ne6 to Nc5 to Ne4 to Nc3 to Ne2

White's B snakes it way in whenever the opportunity arises: Bg6 to Bh5 to Be2 to Bf1 to Bh3

White's K maintains opposition with the black King. If the black K races towards white's B then white keeps pushing with his K, otherwise white uses his B to push back the black K as in move "3. Bc2" Notice the tricky move "4. Kc1" if black tries to stay away from the edge.

The best black can hope for is to oppose white's K and move away from the edge when possible. In the final moments black should stick to h2 and g1 to confuse white into stalemate with the B hoping that white isn't paying attention to the situation.

I doubt I could ever pull of a KNBvK mate in 50 moves playing face to face over the board as I'd get too flustered with the clock ticking away. But playing here at GK I've deliberately promoted my pawns to B and N whenever my opponent refuses to resign in a lost position. I then send my opponent a message saying how much I would enjoy mating him with KBN, but the few times I've had the chance my opponent has then resigned as he doesn't want to be toyed with like a cat with a mouse.
archduke_piccolo
17-Apr-24, 15:52

Three times -
I have played the KNB vs K end game for three wins out of three. But ALL of them began with very favourable positions, with the enemy king already hemmed in against, or close to, the edge of the board.

The last one was played on the giant chess set in the Christchurch square, over 30 years ago. My opponent kept insisting it was a draw - which must have distracted me some, because I suddenly noticed I was driving the King towards the wrong corner! Once I spotted that, corrected my plan, and finished the game in short order.

So long as you know what the closing checkmate should look like, you have a fair chance of winning even if you don't know how to do it.

This game from Gameknot very nearly came down to the KBNvsK end game, but my opponent elected to keep his a-pawn. here's the whole thing annotated.
gameknot.com