Problem World > No.19
Mate Transference by Peter Wong

In directmate problems, the idea of changed play can be separated into two categories. The more familiar one, changed mates, means that in two phases of play the same black defence leads to different white mating responses. The less usual type, known as mate transference, reverses the situation: in two phases, the same white mating move is induced by different black defences. In other words, a white mate that’s effective against one black defence is surprisingly ‘transferred’ to another black move.

109. Cornelis Goldschmeding
Israel Composition Tourney 1953/54
4th Hon. Mention
Mate in 2

The miniature 109 provides a neat example, showing changes between set and actual play. If Black were to begin, the main variations utilize the rook, 1…Rf5 (self-block) 2.Qh6 and 1…Rg5 (unguard) 2.Qxg5. A fine key, 1.Sd5!, creates two flight squares on h7 and h5 for the king, and threatens 2.Qf7. Black parries the threat by taking the flights, but White answers by giving the same mates as those seen in the set play, 1…Kh7 2.Qh6 and 1…Kh5 2.Qg5. That is, the two queen mates are transferred from the rook defences to the king moves.

110. Michael Lipton
U. S. Problem Bulletin 1963
2nd Prize
Mate in 2

Problem 110 illustrates mate transference along with focal play. The black rook in the diagram is ‘focusing’ on d5 and g4, the white knight’s mating squares. If Black moves the rook, the focus is lost and one of these squares will be left unprotected, yielding the set lines 1…R- on rank 2.Sd5, and 1…R- on file 2.Sxg4. However, the first move 1.Qa1! (waiting) pins the rook, and simultaneously unpins the black bishop. The latter now takes over as the thematic defender, and when it moves, the piece similarly loses the focus and enables the knight mates to recur: 1…Be2/d1 2.Sd5, and 1…B- else 2.Sxg4. There is by-play, 1…c4 2.Qxd4 and 1…d5 2.Qa6.

111. Efren Petite
Die Schwalbe 1996
Mate in 2

Notice that in the above examples, Black’s original defences (e.g. the rook moves in 110) are rendered illegal by the key. That these black moves are no longer playable makes the theme clearer, but mate transference can still occur when these defences remain legal. And if these particular black moves compel White to deliver new mates after the key, the Rukhlis theme is produced. Problem 111 presents such a scheme, a combination of mate transference and changed mates. The set variations are 1…cxd3 2.Sb3 and 1…exd3 2.Sf3, in which White takes advantage of the simple unguards by Black’s pawns. The key 1.Qxd7! (waiting) grants two flights to Black, and the ensuing king moves provoke the knight mates we have just seen, 1…Kc5 2.Sb3 and 1…Ke5 2.Sf3. But in addition, the set defences by the pawns are followed by a new pair of mates, 1…cxd3 2.Rxe4 and 1…exd3 2.Rxc4. Now these pawn moves commit a different type of error, the opening of a white rook’s line to cover a flight.

112. John Rice
The Problemist 1967
2nd Hon. Mention
Mate in 2

Problem 112 is an even more attractive Rukhlis. A Grimshaw interference is set on d4: 1…Rd4 2.Se3 and 1…Bd4 2.Sf4. The key 1.d4! cuts off the a4-rook and a7-bishop, but neither knight mate is threatened because of the pin formed on the second rank. White threatens 2.Qf3 instead, since the key-pawn has placed an extra guard on e5. When Black defends with the h2-rook, the knight is released and so allowed to mate again: 1…Rh4 2.Se3 and 1…Rh3 2.Sf4, i.e. the knight mates are transferred to these unpinning defences. Meanwhile, Black’s moves to d4 have changed their effects, from self-interferences to self-pins, and these errors are exploited accordingly with 1…Rxd4 2.Bc4 and 1…Bxd4 2.Rc5 – two pin-mates. Also, 1…Rxg2+ 2.Bxg2, 1…Sxg5 2.Qe5, 1…Qe6 2.Qxe6, and 1…Qxe7 2.Qc6.

113. Marjan Kovacevic
The Problemist 1993
3rd Prize
Mate in 2

The blending of mate transference and changed mates is further enhanced in the so-called Ideal Rukhlis. In Problem 113, the double-checks Sd4 and Se5 do not mate immediately because they interfere with lines controlled by the g1-bishop and g5-rook, respectively. Black allows these double-checks to work in the set play, after self-blocking on b6 and b5: 1…Bb6 2.Sd4, and 1…Sb5 2.Se5. Two more important set lines are 1…Qh2 2.Sxh2 and 1…Qd2+ Sxd2, making further use of the Q + S battery. White starts with 1.Qb2! (threat: 2.Qb7), which observes b6 and b5 but relinquishes the battery set-up. Now the knight mates are prevented for a different reason – direct guards by Black’s queen, hence the transferred mates when the queen tries to stop the threat by pinning White’s queen, 1…Qh2 2.Sd4, and 1…Qd2 2.Se5. The set defences 1…Bb6 and 1…Sb5 permit new mates, respectively 2.Qxb6 and 2.Qxb5, completing the Rukhlis. This problem achieves an Ideal Rukhlis because the variations 1…Qh2 2.Sd4 and 1…Qd2 2.Se5 feature not only mate transference, but changed mates as well, given the different set mates provided for these queen moves. (1…Rh2 2.Rc5, and 1…Bb4 2.Rxc7.)

114. Srinivas Mantha
The Problemist 1992
Mate in 2

Have a go at solving Problem 114, a fairly simple work but which makes its point vividly.

Problem 114 solution (To display, hold down your mouse button and select the text below.)

> Black has only two legal moves in the diagram, both captures of a knight, and set mates are provided for them: 1…fxg2 2.Qh6, and 1…Kxg2 2.Qf1. White cannot maintain this block position with a simple waiting move (in particular, any queen move will lose the focus on f1 and h6). The key 1.Sh4! (waiting) changes Black’s play to another pair of captures, and the mating responses to these new defences are transferred from those in the set play: 1…gxh4 2.Qf1, and 1…Kxh4 2.Qh6.