Sam Loyd, pioneer of an interesting endgame

by Efstratios Grivas
5/8/2025 – It is well known that the knight is a piece that cannot win/lose a tempo. The position you see on the board was a study by the great Samuel Loyd, published in 1860. Can you imagine what White (to play) must do to draw? The same theme appeared in a number of subsequent studies, and the very interesting ending of knight and rook pawn vs. bishop, has been analysed over the years. In this series GM Eftratios Grivas tells us how it all developed.

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Sam Loyd (January 30, 1841 – April 10, 1911) was an American chess player, chess composer, puzzle creator, and recreational mathematician, widely regarded as one of the greatest puzzle inventors and popularizers in history.

Born in Philadelphia and raised in New York City, Loyd began composing chess problems at the age of 14, and quickly gained recognition, becoming the leading American chess problemist by his late teens. Loyd's problems are celebrated for their wit, humour, and originality. He published numerous chess problems and studies in prominent magazines and books, influencing generations of chess enthusiasts.

The following theme appeared for the first time in study of the great composer:

Samual Loyd, London 1860
White to play and draw

The solution: 1.Bd7! The only way, as the pawn should be forced to get onto its 7th rank. White would be lost after 1.Bc6+? Kg1 2.Bh1? Kxh1 3.Kf1 Kh2 4.Kf2 Ng6 5.Kf1 Kg3 6.Kg1 Ne5 7.Kh1 Ng4 8.Kg1 h2+ 9.Kh1 Nf2#.

1...h2. 1...Nf3+, is going nowhere after 2.Ke2 Nd4+ 3.Ke3 h2 4.Kxd4! h1Q 5.Bc6+ Kh2 6.Bxh1 Kxh1. 

2.Bc6+ Kg1 2...Nf3+ 3.Ke2 h1Q 4.Bxf3+ =.

3.Bh1! The saving idea! 3...Kxh1 3...Ng2+ 4.Ke2 Nf4+ 5.Ke1 =, isn't much different.

4.Kf2! The idea has to be conducted correctly. There is always room for a wrong decision, as can easily be proved: 4.Kf1? Nf3 5.Kf2 Nd2 -+. ½-½.

It seems that this 1860 study was the first to deal with our concept. But somehow, the ending wasn’t named after Sam Loyd. Some years later, the following study was made:

Bernhard Horwitzn, London 1885
White to play and win

1.Kb6! The only winning move, as the black king should not be allowed to get back to the 7th or 8th rank. 1...Kc4. 1...Ka4, is losing to 2.Nc6 Kb3 3.Na5+ Kb4 4.Nb7 Kc4 5.Kc7 Kd5 6.Kb8 +-. 2.Na6 Kd4. 2...Bf3 3.Nc5 Ba8 4.Nb7 Kd5 5.Kc7 Ke6 6.Na5 Ke7 and we have a famous  Chekhover study, which is just a sideline of Horwitz's: 7.Kc8! +-.

3.Nc7. 3.Nc5, wins as well: 3...Kd5 4.Nb7 Ke6 5.Kc7 Ke7 6.Na5 (6.Kb8? Kd7! 7.Kxa8 Kc8 =) 6...Ke8 7.Nc4 Ke7 8.Kb8 Bh1 9.Na5 +-. 3...Bg2 4.Ne6+ Ke5 5.Nd8 Ba8 6.Kc7 Kd5. 

7.Nb7. But not 7.Kb8? Kd6! 8.Kxa8 Kc7 =. 7...Ke6 8.Na5 Ke7 9.Kc8 Ke8 10.Nc4! Ke7 11.Kb8 Kd8 12.Na5 Kd7 13.Nb7! Kc6 14.Kxa8 Kc7 15.Nd6 1-0.

Now that you are well acquainted with the theme, here are two studies for you to solve. You can move the white pieces on the diagram, which will defend for Black.

Bernhard Horwitz, London 1885
White to play and draw
M. Guerbaus, West Germany 1920
White to play and draw

And here for you to go through or download the above studies we present them in the replayer, where you can also start an engine to enhance your analysis.

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The position in examination appeared for the first time in study of the great composer Samuel Loyd. 1.Bd7! The only way, as the pawn should be forced to get onto its 7th rank. White would be lost after 1.Bc6+? Kg1 2.Bh1? Kxh1 3.Kf1 Kh2 4.Kf2 Ng6 5.Kf1 Kg3 6.Kg1 Ne5 7.Kh1 Ng4 8.Kg1 h2+ 9.Kh1 Nf2# . 1...h2 1...Nf3+ , is going nowhere after 2.Ke2 Nd4+ 3.Ke3 h2 4.Kxd4! h1Q 5.Bc6+ Kh2 6.Bxh1 Kxh1 . 2.Bc6+ Kg1 (D)
2...Nf3+ 3.Ke2 h1Q 4.Bxf3+= . 3.Bh1! The saving idea! Kxh1 3...Ng2+ 4.Ke2 Nf4+ 5.Ke1= , isn't much different. 4.Kf2! The idea has to be conducted correctly. There is always room for a wrong decision, as can easily be proved: 4.Kf1? Nf3 5.Kf2 Nd2-+ .
½–½
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WhiteEloWBlackEloBResYearECOEventRnd
Study 1-Loyd,S-½–½1860The Chess Monthly
Study 2-Horwitz,B-1–01885The Chess Monthly
Study 3-Horwitz,B-½–½1885Diagram
Study 4-Guerbaus-½–½1920Diagram

More studies to follow...


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Efstratios (30.03.1966) is a highly experienced chess trainer and chess author. He has been awarded by the International Chess Federation (FIDE) the titles of International Chess Grandmaster, FIDE Senior Trainer, International Chess Arbiter and International Chess Organiser.
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