Study of the Month: Kaleidoscope III

by Siegfried Hornecker
7/29/2023 – Two years ago, we had a collection of “random” endgame studies, a small kaleidoscope, in January, and then again in July. With the vast number of different possibilities in endgame studies, many creations wouldn’t fit into a coherent article, so let us take this approach again. | Pictured: Mikhail Botvinnik during his match for the world crown against David Bronstein in 1951

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Miscellaneous chess studies

Two years ago, we had a collection of “random” endgame studies, a small kaleidoscope, in January, and then again in July. With the many things happening in endgame studies that wouldn’t fit into a coherent article, let us take this approach again.

As the readers know, Yours Truly is on a special Discord server for chess composition. Several interesting projects started there, such as the “Hopper” magazine, where recently Andrew Buchanan (Singapore) finished a collection of “help-dead position” problems, aimed at showing different combinations of pawn promotions that lead to a position that can’t be won by either side by any legal series of moves (usually this happens by forcing stalemate, or by reaching an insufficient material distribution such as bishops of the same square color or even bare kings in one case).

In the Tech Mahindra Global Chess League, an absolutely insane endgame happened between two former World Chess Champions in June 2023:

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MoveNResultEloPlayers
1.e41,169,49854%2421---
1.d4949,34555%2434---
1.Nf3282,42656%2440---
1.c4182,60856%2442---
1.g319,74156%2427---
1.b314,33454%2427---
1.f45,91448%2377---
1.Nc33,81451%2384---
1.b41,75948%2379---
1.a31,22254%2404---
1.e31,07349%2409---
1.d395550%2378---
1.g466646%2361---
1.h444953%2374---
1.c343551%2426---
1.h328356%2419---
1.a411460%2465---
1.f39346%2435---
1.Nh39066%2505---
1.Na34262%2482---
1.e4 e6 2.d4 d5 3.Nc3 Bb4 4.e5 c5 5.a3 Bxc3+ 6.bxc3 Nc6 7.Qg4 g6 8.h4 h6 9.h5 g5 10.f4 Qa5 11.Bd2 f5 12.Qg3 g4 13.dxc5 Nge7 14.Bd3 Qxc5 15.Ne2 Na5 16.Qf2 Qxf2+ 17.Kxf2 Bd7 18.a4 Kf7 19.Rhb1 b6 20.Bc1 Nec6 21.Ba3 Nd8 22.Bb4 Ndb7 23.Nd4 Rhb8 24.Nb3 Nc4 25.Bxc4 dxc4 26.Nd4 Rc8 27.a5 b5 28.Rd1 Be8 29.Ne2 a6 30.Rd4 Rd8 31.Rad1 Rxd4 32.Rxd4 Bc6 33.Rd2 g3+ 34.Kg1 Rg8 35.Nd4 Rd8 36.Bd6 Be4 37.Bb4 Rd5 38.Kf1 Nd8 39.Ke1 Nc6 40.Ne2 Rxd2 41.Kxd2 Bxg2 42.Nxg3 Bf3 43.Ke3 Bd1 44.Kd2 Bg4 45.Ke3 Ke8 46.Kd2 Ne7 47.Bxe7 Kxe7 48.Kc1 Kd7 49.Kb2 Kc6 50.Ka2 Kd5 51.Ka3 Kc5 52.Kb2 Bd1 53.Kc1 Bf3 54.Kb2 b4 54...Bc6 55.Kc1 b4 55.cxb4+ Kd4 56.c3+ Kd3 57.b5 axb5 58.a6 Kd2 59.a7 Bd5 60.Nxf5?? 60.Nf1+ Ke2 61.Ng3+ Kd2 61...Ke3?? 62.Nxf5++- 61...Kf3?? 62.Nxf5+- 60...exf5 61.e6 b4 62.e7 bxc3+ 63.Ka2 c2 64.a8Q Bxa8 65.e8Q Be4 66.Qd8+ Bd3 67.Qd4 c1N+ 68.Ka3 c3 69.Qb6 Ne2 70.Qxh6 c2 0–1
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WhiteEloWBlackEloBResYearECOEventRnd
Viswanathan Anand-Magnus Carlsen-0–12023Tech Mahindra Global Chess League7.1

The ending of that game inspired one of the Discord server users to play around, and he found an interesting positional draw after a battle that uses the same knight sacrifice.

William Dupov, Discord, 12 July 2023
White to move and draw

The solution for this endgame study is very complicated, as it has many sidelines, so instead of presenting it here, readers should look at the end of this article where it can be replayed.

Queen’s Gambit domination

Recently I saw that in the “Queen’s Gambit” video series that a study by Henri Rinck was used. There is an earlier version of the study that I found interesting. Alois Mouterde in 1921 used a different but similar domination with a diagonal twist that was shown a few more times, and in my opinion, Grigory Slepyan’s 1978 study is among the best that use Mouterde’s idea.

Henri Rinck, La Strategie 1916
White to move and win

Interestingly, after 1.Nd5+ Kd7 2.B:g7 the only safe square for now is on h4. But after 2.-Rh4 3.g3 the fourth rank turns out to be as trapped as the eighth. With 3.-Rh3 4.Kg2 White wins.

Grigory Slepyan, Shakhmaty v SSSR 1978, 4th honorable mention
White to move and win

For Black, this study, which gained the 10th place at the Belarusian Championship 1977-1980, is an exercise in pain.

After 1.Rh7+! the play splits, and the author may have wanted the side variations as other main variations: 1.-Kg6 2.K:c2 Re2+ 3.Kd1 Re3 4.Rh6+! K:h6 5.Bd2 wins, or here 3.-Re5 4.Rg7+! K:g7 5.Bc3 wins.

So the better defence is 1.-Kg8 2.K:c2 Re2+! 3.Kd1 Re3 (after Re5 both sacrifices on g7 and h8 would work) 4.Nc4! Rd3+ 5.Kc2 Rd4. The rook is in the perfect position to make the defence plan work, so White can’t sacrifice on g7, as we will see. 6.Rh8+! K:h8 7.Bc3 e5! It seems that Black reached a draw, as taking on d4 leaves White without sufficient material to enforce a checkmate. 8.N:e5 surprisingly dominates the rook. 8.-Ra4 9.Kb3 Re4 10.Ng4/Nd7+ and 11.Nf6+ wins. It would be an incredible logical study if somehow the starting position was reached once with and once without Pa6 in different lines, as without the pawn the entire game would be a draw. This would be what composers nowadays try to achieve.

An unknown gem

Ukraine, a now very troubled country, has a rich history of chess composition. The father and son Kapusta are a fine example of that. Both composed checkmates in three moves with unguarded queen sacrifices next to the king in the second move, as seen on their biographies on the Chess Composers blog. Only a few years after his son Viktor (* 1948, IM for Chess Composition) was born, Lev (19 October 1919 - 1990) won the first place in the Ukraine - Uzbekistan match 1954.

Lev Kapusta, Match Ukraine - Uzbekistan 1954, 1st place.
White to move and draw

Lev Kapusta, Match Ukraine - Uzbekistan 1954, 1st place. White to move and draw

Black has an easy strategy: Control b1, use the pieces to move White’s pieces away and either win both knight and bishop for the pawn or enforce the promotion. There isn’t much White can do. Exchanging pieces only helps Black currently. The only hope is to give at most one piece for the pawn.

The solution manages to do this after sacrificing the bishop: 1.Nc2! Nc1 2.Bb1 Kd3 3.Kb5! Kc3+ — a very interesting moment. White refused to give a discovered check and instead ran into a discovered check himself. A beginner’s mistake often is to overestimate the power of a discovered check, so a small sense of paradox is added by this sequence. 4.Ka4 Bd3 5.Ne3! B:b1 6.Nd5+ Kc2 7.Ne3+ Kd2 8.Nc4+ Kc3 9.Ka3! This move is only possible because the king would fork both pieces after 9.-K:c4 10.K:b2. 9.-Nd3 10.N:b2! N:b2 stalemate

Small fun fact: If you add white pawns on d4 and e7 in the final position, only the move 1.e8N would draw (Charles Michael Bent, EG 1968, mirrored). In fact, without Pd4 it would be the same, but Bent used that additional pawn for his introduction. You can replay his study at the end of the article.

Good knight, dear queen!

Steffen Slumstrup Nielsen is one of the modern endgame study composers we talked about before in this series. In 2020, he held his jubilee tourney for his 45th birthday. The first prize went to an interesting struggle for a draw by Black that was crushed at the end.

Oleg Pervakov & Karen Sumbatyan. Steffen Slumstrup Nielsen 45 JT 2020, 1st prize.
White to move and win

White is far up in material, but surprisingly lines like 1.Kh3? c3 2.Nb5 c2 3.Nd4 c1N, etc. result in a draw. After 1.h7! it seems that Black is lost, but he can play for stalemate(!). 1.-c3 2.Nc6! Nf3+! 3.Kh3 Ng5+! 4.h:g5 c2 5.Nd4! c1Q 6.Ne2+ K:g5 when 7.N:c1? Kh6 is a draw. Similarly, after 7.Nf7+ Kg6 White draws with 8.N:c1? K:h7. So 8.h8N+! would lead to the trivially won endgame of king and three knights against the bare king if it wasn’t for the stalemate defence 8.-Kh5. Taking on c1 is stalemate, so is the game a draw? No, the knight on e2 just moves into the opposite direction: 9.Ng3 mate. It is known that four knights win against a bare queen. Three knights only do under special circumstances like here where the opposing king or queen is quickly lost.

Tales of the Unusual

A good method to find unusual endgame studies is to look for special awards, Many of them show something that judges didn’t want to consider for the normal tourney awards, but felt should nevertheless be awarded. Some of those endgame studies are contributions to endgame theory that will never matter in practical play, such as the following endgame of four bishops versus two pawns at and near their starting square. “Wait! That is an easily won material advantage!” Indeed it would be… if the bishops weren’t on the same square colour.

Alexey Troitzky, 64 1932, special prize
White to move and win

Alexey Troitzky, 64 1932, special prize. White to move and win

This is left for readers to figure out. Troitzky’s solution ends with:

31.d4 b5 32.Bcb2 b4 33.Ba1 b:a3 34.Bh8 a2 35.Kc3 K:a1 36.Kc2 mate

Wouter Mees, De Schaakwereld 23 October 1941.
White to move and win

The idea 1.e6 Kg6 2.Kc6! Kf6 3.Kd7 Ng3 4.e7 Ne4 5.e8Q or 2.-Kg7 3.e7! Kf7 4.Kd7 winning must look very familiar. Wait, isn’t this one of the most famous blunders in chess history that led to such a combination? So was the special prize awarded for adding the small second variation that likely was present in the original game? Did Mees just copy the game combination and make it economical?

Well, maybe he did. But if he did, he used a time machine. You see, there is no typo here, the study is from 1941 and not 1951…

David Bronstein - Mikhail Botvinnik. World Chess Championship 1951, round 6. 26 March 1951
White to move

David Bronstein, the brilliant out-of-the-box thinker, probably saw that the knight will easily stop the pawn after 57.Ka4 Kf3 58.Ne6 e2 59.Nd4+, but 57.-e2 would be devastating. So the king needs to be pulled closer to protect e1 after the pawn moves, even if no win is possible.

Now 57.Kc2?? seems to draw easily, as 57.-Kf3 58.Ne6 e2 59.Nd4+ stops the pawn. The Soviets were on top of chess knowledge, so it might be that Botvinnik knew Mees’ study, but he also might have easily found on the board that 57.-Kg3!! avoids the “trapped” square f3. Disillusioned, Bronstein resigned.

Certainly an interesting coincidence, but it is not impossible that such things happen in chess. They happened already in other contexts. The story of the Titanic is widely known, an “unsinkable” ship that hit an iceberg and sank on its maiden voyage on 15 April 1912, leading to a great loss of life. In 1898, Morgan Robertson wrote a novella called “Futility”. It was about an “unsinkable” ship that hits an iceberg on its maiden voyage and sinks, leading to a great loss of life. There are other parallels between the novella and the real events that can be attributed to Robertson’s knowledge in the field, but one certainly can’t: the name of his ship was Titan.

The coincidence of Edgar Allan Poe’s prediction of a cannibalism in “The Narrative of Arthur Gordon Pym of Nantucket” is widely known, in which Richard Parker is eaten by his companions after they shipwrecked, a story that came true in 1884 when a 17-year-old boy named Richard Parker suffered that fate.

But you might not have heard of a story called “Eureka” that Poe wrote in the final year of his life. Here he describes a primordial particle that causes an instantaneous flash to create an ever-expanding universe. This crazy idea certainly would explain the mysteries that baffled scientists at the time, but it couldn’t be taken seriously… until scientists arrived at the conclusion that the universe must have been condensed at the beginning and then instantaneously expanded. The originally ironically used term “Big Bang” stuck to this. The theory also explains why the night sky is so dark, as it postulates that the light of many stars just hasn’t reached us yet. Edward Robert Harrison published his findings in 1987 in his “Darkness at Night”, but admitted there that his conclusion was anticipated by Poe.

A mistaken human verdict

I was shocked to see one of my favourite studies cooked, but it turned out that only a bad line was cooked. Black has a better defence there, so the study is correct.

Vladimir Bron, Rustaveli MT 1967, 3rd special prize
White to move and win

The solution is the beautiful 1.g7+! B:g7 2.Ba3+ Kf7 3.Bd5+ Kg6 4.Kf2 Nh1+ 5.B:h1 B:d4+ 6.Kg3 Be5+ 7.Kh4! Bf6+ 8.K:h3 h5 9.Be4 Kh6 10.g5+! B:g5 11.Bf8 mate or 10.-K:g5 11.Bc1 mate

The issue is that after 5.Ke3 B:d4+ 6.K:d4 Nf2 7.Ke3! the endgame of two bishops against knight is reached eventually, which is known to be won thanks to computer analysis. It was one of the first endgames where computers changed the human verdict, which held that one fortress exists. For all intents and purposes, that fortress is likely to be practically a draw but theoretically won.

Obviously Black doesn’t have to see if he can reach that fortress, but rather play 5.Ke3 Ng3! 6.Kf3 Nf1 and the endgame is actually drawn. Of course, here it is necessary to point out that White wins with 6.Kf2, turning the supposed destructive dual into only a loss of time by repeating two moves…

Two easy (?) endgames with two kings, a rook and two pawns

Let us close this month with two special prizes that were awarded to rook endgames. First White will win against one pawn, then draw against two.

E. Kolesnikov, Shakhmaty v SSSR 1989, special prize
White to move and win

E. Kolesnikov, Shakhmaty v SSSR 1989, special prize. White to move and win

What? 1.Kf7 K:f2 2.Ke6 and 3.K:d5 wins easily? Yes, but not 1.Kf7? K:d4! 2.Ke6 Ke3. So White can play 1.Rf8! K:d4 2.Kf7 Ke3 3.Ke6 d4 4.Kd5 d3 5.Kc4 d2 but this also only leads to a draw. The important point is that 3.Re8+! Kf3 4.Rd8 Ke4 5.Ke6 d4 6.Kd6 d3 7.Kc5 Ke3 8.Kc4 d2 9.Kc3 wins

Vasily Dolgov, 64 12 July 1979 (correction), special prize
White to move and draw

Here the solution is straightforward but still interesting:

1.Rd1+! Kf2 2.Rh1 Kg2 3.Re1 Kf2 4.Rh1 Kg3 5.Re1 Kf3 6.Rh1 Kg3 7.Re1 Kf4(!) 8.Re2! Kf3 9.Rh2 Kg3 10.Re2 draws

One last puzzle for readers: Would this still be a draw if White had the king on a8? You can find the solution as the last replayable entry.

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We give the study here with all lines by the author, only slightly modified when necessary to add explanation or such. I still can't claim to understand the positional draw here. White to move and draw. 1.c6 1.Ng3? Bd5 2.Nxh5 Bxg2-+ 1...Bd5 1...Bc4? 2.Nd4 h4 3.c7 Ba6 4.Nxe6 h3 5.gxh3 gxh3 6.Ng5 h2 7.Nf3+ Ke3 8.Nxh2 Bc8 9.Kc3 Be6 10.Nf1+ Kxf4 11.Kd4+- 1...Kxe2? 2.c7+- 2.c7 Bb7 After binding the bishop, White has to create more threats, i.e. another passed pawn. Faced with the kingside pawns breaking through, there is no way to just passively defend. Thankfully f5 is weak, as the additional passed pawn would easily work. 3.Ng3 3.Nd4? Bc8 4.Nb5 Bd7 5.Nd6 Kd3!-+ 3...h4 3...Ke3!? 4.Nxh5 g3 5.Nxg3= Black has no time to defend, as Ph5 is also attacked. 3...Bc8 4.Nxh5± 4.Nxf5 h3 Both players follow their plans. 4...exf5!? 5.e6 h3 6.gxh3 gxh3 7.e7 h2 8.e8Q h1Q 9.Qd7+ Ke3 10.Qxf5= 5.gxh3 gxh3 6.Nd6 Again, defending loses. 6.Ng3? Bc8 7.Ne4+ Ke3-+ 6...Ba6 7.f5 h2 7...exf5!? 8.Nxf5 Bc8 9.Nd4 Ke3 10.e6 Kxd4 11.e7 h2 12.e8Q h1Q= 7...Kd3!? 8.fxe6 h2 9.e7 h1Q 10.c8Q Bxc8 11.e8Q= 8.Ne4+ Ke3 9.Ng3 Kf4 White must push his pawns now. 10.fxe6 Kxg3 11.e7 h1Q 12.e8Q Qb7+ Both sides got queens, but Black has the initiative. Going into the corner seems sensible to avoid the check, but it would lose. 13.Kc1 13.Ka1? Bd3 14.Qg8+ Kf2 15.Qf8+ Ke2 16.Qb8 Qh1+ 17.Ka2 Qd5+ 18.Ka1 Qc5 Very precise play is necessary, as Black has the wrong bishop for the a-pawns. 18...Qxe5+? 19.Qb2+ Qxb2+ 20.Kxb2 Ba6= 19.Qb2+ Kf3 19...Ke3? 20.e6 Qxc7 21.e7 Qxe7= 20.c8Q Qxc8 21.Qd2 Bf5-+ 13...Qxc7+ 14.Kd2 Qh7 14...Qg7!? 15.Qxa4 Qxe5 16.Qb3+ 16.Qd1? Qb2+ 17.Qc2 Qd4+ 18.Kc1 Bd3 19.Qc7+ Kf3 20.Qf7+ Ke3 21.Qe6+ Kf2-+ 16...Kh4= It is incredible that this is a draw. Myself, I would think this is lost for White. 15.Qd8 Qh6+ 16.Kc2 Qc6+ 17.Kd2 Qg2+ 18.Kc1 Qg1+ 18...Qf1+!? 19.Qd1 Qf4+ 20.Qd2 Qxe5 21.Kd1 Qa1+ 22.Qc1 Qd4+ 23.Qd2= The same goes here. Black is a bishop and pawn up but can't win apparently. 19.Kc2 Be2 19...Qf2+!? 20.Qd2 Be2 21.e6= 21.Qd6? Bf3+ 22.Qd2 Be4+ 23.Kc3 Qc5+ 24.Kb2-+ 20.e6 Qc5+ 21.Kd2 Bh5 22.Qd3+ White avoids the devastating attack after 22.e7? Qg5+ 23.Kc2 Bg6+ 24.Kd1 Qg4+ 24...Qe5? 25.e8Q Bxe8 26.Qd3+ Kh4 27.Kd2= 25.Kd2 Qf4+ 26.Kc3-+ and here the author's line ends as a win for Black without specifying how, but Black wins a3 and should win the endgame then. Qc1+ 27.Kd4 Qxa3-+ 22.Qb8+? Kf3 22...Kh3? 23.Qb1 Qg5+ 24.Kc3 Qg7+ 25.Kd2 Qg2+ 26.Kc3= 23.Qb7+ Kf2 24.Qb2 Qe3+ 25.Kc2 Bg6+ 26.Kd1+ Kg3-+ 22...Kf2 23.e7 Qxe7 24.Qd4+ Kf3= with positional draw. This endgame study proves difficult for computers, and for humans. It is a positional draw one must know, and also that the king too far on the queenside would lose.
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WhiteEloWBlackEloBResYearECOEventRnd
Dupov,W--2023Discord
Rinck,H--1–01916La Strategie
Slepyan,G--1–01978Shakhmaty v SSSR, 4th honorable mention
Kapusta,L--½–½1954Ukraine - Uzbekistan, 1st place
Bent,C--½–½1968EG
Pervakov,O-Sumbatyan,K-1–02020Slumstrup Nielsen 45 JT, 1st prize
Mees,W--1–01941De Schaakwereld, special prize
Bron,V--1–01967Rustaveli MT, 3rd special prize
Kolesnikov,E--1–01989Shakhmaty v SSSR, special prize
Dolgov,V--½–½197964, special prize (version)
Dolgov,V--½–½197964, special prize (cooked)

In over 4 hours in front of the camera, Karsten Müller presents to you sensations from the world of endgames - partly reaching far beyond standard techniques and rules of thumb - and rounds off with some cases of with own examples.


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Siegfried (*1986) is a German chess composer and member of the World Federation for Chess Composition, subcommitee for endgame studies. His autobiographical book "Weltenfern" (in English only) can be found on the ARVES website. He presents an interesting endgame study with detailed explanation each month.

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