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Knight-wheel
Peter's Problem World with FIDE Master of Chess Composition Peter Wong

New terms introduced here are also added to Peter's Glossary of Chess Problem Terms.

Chess problems are sometimes constructed with the aim of achieving certain tasks or maximum effects.  A well-known example of such tasks is the knight-wheel.

When placed near the centre of the board, a knight is capable of making the maximum eight moves.  If that piece makes all eight possible moves in turn during the course of a problem’s solution, the knight-wheel theme is produced.

The term knight-wheel usually refers to instances where a black knight acts as the thematic piece.  Where a white knight plays the maximum eight moves, we call that task a knight-tour.

84. Gerhard Latzel
Die Schwalbe 1956
5th Hon. Mention








Mate in 2



 

79. Harry Tuxen
Deutsche Schachzeitung 1919
1st Prize








Mate in 2

Problem 79, composed nearly a century ago, remains one of the best renditions of a knight-wheel.

White starts with 1.Nf3!, to threaten 2.Nd2.  This mate cuts off the queen’s guard along the d-file, enabling Black to subtly defend by shifting the knight away from d4, to create a potential flight on that square.

The eight knight moves all bring about distinct white replies, as required by the theme:

1…Nc2 2.Qd3, 1…Nb3 2.Qxb1, 1…Nb5 2.Bxb7, 1…Nc6 2.Qd5, 1…Ne6 2.Re5, 1…Nf5 2.Rg4, 1…Nf3 2.exf3, 1…Nxe2 2.Qxe2.

 

The first five variations are based on self-interferences – the knight closes a vital defensive line of another black piece – a type of error with more strategic interest.  In spite of the wealth of good play shown, the position is pleasantly open and economical.


 

The knight-wheel moves in Problem 80 serve a double function.  In addition to working as defences that compel different white mates, the knight moves also act as refutations of eight white tries.  First note that set mates are already provided for the knight’s play:

1…Nxc3 2.Rb3,
1…Nb4 2.Rxb4,
1…Nb6 2.Rxb6,
1…Nc7 2.Rxc7,
1…Ne7 2.Rxe7,
1…Nxf6 2.Rf7,
1…Nf4 2.Nd4,
1…Ne3 2.Rf2.

Most of the eight thematic tries generate threats, while a couple attempt to maintain the block position.  1.Qa7? (threats: 2.Qf2, 2.Rf2) Nb6!, 1.Qb8? (2.Qg3, 2.Nd4) Nc7!, 1.Qa5? (2.Qxd5) Ne7!, 1.Qd8? (2.Qxd5) Nb4!, 1.Qa1? (2.Qf1) Nxc3!, 1.Bd4? (2.Rf2) Ne3!, 1.f7? (waiting) Nf6!, and 1.Kg5? (waiting) Nf4!

80. Gustav Jonsson
Schackvarlden 1939








Mate in 2

The key is the sole effective waiting move, 1.g5!, which leaves the set play unchanged.


 

81. Antonio Bottachi
Eighth American Chess Congress 1921
1st Hon. Mention








Mate in 2

A white knight-tour typically appears as eight different mating moves delivered by the knight, an effect that requires a battery set-up.

Problem 81 demonstrates this idea with a bishop + knight battery, working against a busy black queen that sets off all the variations.

The key 1.Rg4! threatens 2.Rg8, and to stop this mate the queen has to unpin the knight.  The released knight then fires the battery in eight different ways, the selection of which depends on where Black places the queen:

1…Qxd6 2.Nxd6,
1…Qxf6 2.Nxf6
,
1…Qc5 2.Nxc5
,
1…Qg5 2.Nxg5
,
1…Qc3 2.Nxc3,
1…Qg3 2.Nxg3
,
1…Qb2+ 2.Nd2
,
1…Qh2+ 2.Nf2.



 

Problem 82 poses an alternative of rook + knight batteries to achieve two complete knight-tours.

After the try, 1.Rc8?, White’s threats are any move by the c6-knight.  Each of the eight possible knight mates has to be individually forced, for the theme to be realized.  1…Ra8 2.Nb8, 1…Ra7 2.Nxa7, 1…Ra5 2.Nxa5, 1…Rxa4 2.Nb4, 1…Bd4 2.Nxd4, 1…Be5 2.Nxe5, 1…Be7 2.Nxe7, 1…Bd8 2.Nxd8, but 1…b5! refutes the try.

The key 1.Rh3!, threatening 2.Nf-any, leads to similar play:

1…Rh1 2.Nh2,
1…Rg1 2.Nxg1,
1…Re1 2.Nxe1,
1…Rd1 2.Nd2
1…Bd4 2.Nxd4,
1…Be5 2.Nxe5,
1…Bg5 2.Nxg5,
1…Bh4 2.Nxh4.

82. Michael Lipton
American Chess Bulletin 1957
1st Hon. Mention








Mate in 2



 

83. Michail Marandjuk
64 1980
Special Prize








Mate in 2

In Problem 83, White’s knight on d5 executes a tour by making seven tries and the key, where each try is defeated by a different move.

White threatens 2.Rd5 upon moving the knight, but seven times Black has a foiling defence when the knight impedes a prepared mating move.  That the tries all fail for a similar reason – self-interference with a line needed by White – makes the knight-tour remarkably unified:

1.Ne3? Bg2! (2.Rxd3 stopped),
1.Nf4? Rd7! (2.Rh4 stopped),
1.Nf6? Rh5! (2.Bg7 stopped),
1.Ne7? Nb6! (2.Bc5 stopped),
1.Nc3? Nb4! (2.Qa1 stopped),
1.Nb4? Nc3! (2.Qxc3 stopped),
1.Nb6? Ne7! (2.Qxa7 stopped).

Finally, the non-hindering 1.Nc7! solves:  1…Bg2 2.Rxd3, 1…Rd7 2.Rh4, 1…Rh5 2.Bg7, 1…Nb6 2.Bc5, 1…Nb4 2.Qa1, 1…Nc3 2.Qxc3, 1…Ne7 2.Qxa7.


 

Have a go at solving Problem 84, a gem which shows a task similar to the previous example.  Only seven pieces are used to accomplish this, though of course the play here is less involved.

The solution will appear next month.

 

84. Gerhard Latzel
Die Schwalbe 1956
5th Hon. Mention








Mate in 2

78. Michel Caillaud
British Chess Problem Society, Kingston 1999
Prize








Mate in 2

 

Solution to Problem 78 in the previous column:
 

Set play: 1…Nd-any 2.Qxf4, 1…Ne-any 2.Qxf5, (and 1…Kxe5 2.Re6).

Try: 1.Qg1? (waiting), 1… Nd-any 2.Qxe3, 1…Ne-any 2.Qd4, but 1…Nc2! refutes.

Key: 1.Qd8! (waiting), 1…Nd-any 2.Qd4, 1…Ne-any 2.Qxd5.


Return to Peter's Problem World


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