Brinkmate

In shogi, brinkmate or hisshi (必至 "desperation, inevitability" or 必死 "sure kill") is the situation in which an unavoidable 詰め tsume checkmate sequence will be created by the player's next move. (Note that in shogi tsume is defined as strictly forced mate sequences with constant checks.)

Hisshi differs from the situation in which a checkmate sequence is only being threatened to be created in the next move but is still avoidable if the opponent defends correctly. This situation is known as threatmate or 詰めろ tsumero ("threatened mate"). Thus, hisshi is an indefensible tsumero.

The only way to prevent a loss from a brinkmate is for a player to not give their opponent a chance to actually create the tsume checkmate sequence and instead initiate their own tsume (with constant checks) before their opponent's move. (Thus, a good exemplification of the saying the best defense is a good offense.)

Although the terms brinkmate and threatmate were coined to translate the Japanese terms, the concepts can equally be applied to western chess and other chess-like games. (See: §Western chess below.)

Shogi

Example

Figure 1 shows a classic hisshi problem.[1] Here, Black does not have a way to immediately checkmate White's king. However, Black can create hisshi by moving and promoting their silver to the 74 square (Fig. 2).

From this position, Black is threatening to drop their gold in hand to 83 in their next move to render an immediate mate.

Even if White were to try to remove Black's promoted silver with ...Px74 (Fig. 3), this does nothing to prevent the simple mate in one with G*83 (Fig. 4).

White has two possible ways to attempt to defend against this threat.

But, since this is hisshi and not merely tsumero, all attempts are futile as explained below.

If White tries to defend the 83 square by dropping a defender (such as a gold) to 82 (Fig. 5), then Black can initiate a 3-move mating sequence starting from G*83 (Fig. 6).

Subsequent moves are ...Gx83, +Sx83 (tsumi).

If White's king tries to flee to the 82 square (Fig. 7), then Black can initiate a 3-move mating sequence starting from +S-83 (Fig. 8).

Subsequent moves are ...K-71, G*72 (tsumi).

Alternately, instead of +S-83, Black could move P-83+, then K-71, G*72 (tsumi).

Hisshi vs tsumero

The first adjacent diagram has an example of tsumero that is not hisshi. It is now White's turn to play. Although Black has a possible checkmate in their next move by dropping their gold to the 82 square, White can defend against this by dropping a gold to 71 defending the 82 square. With this move, White has removed the threat of Black's tsumero. If Black dropped their gold to 82 now, then White would simply capture it and attack Black's other gold (that is, ...G*71, G*82 Gx82).

In the second diagram, there is an additional pawn positioned on 73. This difference gives Black hisshi (as well as tsumero). Any defense attempt by White will fail. White's ...G*71 will be met with G*72 Gx72, Px72+ (tsumi). There are similar mate sequences if White tries ...R*32, ...G*82, etc. Similarly, it is impossible for White's king to escape with ...K-71.

Silver on the belly tactic

Silver on the belly (腹銀 haragin "belly-silver") is a basic brinkmate tactic in shogi. This tactic positions a silver (by moving there or by dropping) directly on either side of the opponent's king. The adjacent diagram shows a typical silver on the belly brinkmate. Here the silver is placed on the 82 square. The one-move mates +R-81, +Rx91, S-81=, or Sx91+ are unstoppable. For instance, if White moves P-94, then +Rx91 is mate, and if White moves N*81, then the silver or dragon taking 81 are mates.

That leaves the longest (7-move) mate sequence in which the king attempts a futile escape starting with P-84. Subsequently, the dragon chases. Thus, 2. +Rx91 K-83, 3. +Rx93 K-72, 4. +R-73 K-61, 5. +R-71 is a mate.

Western chess

Brinkmates (hisshi) and threatmates (tsumero) are also found in western chess.

Position after Qh6!!
abcdefgh
8
f8 black rook
g8 black king
f7 black pawn
h7 black pawn
f6 white pawn
g6 black pawn
h6 white queen
8
77
66
55
44
33
22
11
abcdefgh
Black has no way to prevent Qg7#. This position is brinkmate (hisshi).
Position after Qf7!!
abcdefgh
8
f8 white knight
h8 black king
f7 white queen
h7 black pawn
f6 black knight
8
77
66
55
44
33
22
11
abcdefgh
Despite the fact that no matter what move is played, there will be a mate, this is not a brinkmate because this is not even a threatmate (tsumero). However, black is in zugzwang and must move either his knight allowing Qxh7# or his h-pawn allowing Ng6#.
Position after ...Qa3?
abcdefgh
8
g8 black bishop
h8 black king
e7 black pawn
g7 black pawn
h7 black pawn
f6 black pawn
h5 white pawn
h4 white knight
a3 black queen
b3 white pawn
c3 black pawn
d3 white pawn
e3 black pawn
a2 white pawn
c2 white pawn
e2 white pawn
b1 white king
c1 white knight
d1 white queen
e1 white rook
h1 white rook
8
77
66
55
44
33
22
11
abcdefgh
White has no way to avoid ...Qb2#, but white can play 1. Ng6+ hxg6 2. hxg6+ Bh7 3. Rxh7+ Kg8 4. Rh8+ Kxh8 5. Rh1+ Kg8 6. Rh8+ Kxh8 7. Qh1+ Kg8 8. Qh7+ Kf8 9. Qh8#
Position after Qh6
abcdefgh
8
g8 black king
h8 black knight
f7 black pawn
h7 black pawn
f6 white pawn
g6 black pawn
h6 white queen
g5 white pawn
h3 white pawn
f2 black queen
h1 white king
8
77
66
55
44
33
22
11
abcdefgh
This is a brinkmate, but black has Qf1+ and Qf2+.
Position after Qh6
abcdefgh
8
e8 black rook
g8 black king
f7 black pawn
h7 black pawn
f6 white pawn
g6 black pawn
h6 white queen
c5 black bishop
8
77
66
55
44
33
22
11
abcdefgh
This is a tsumero but not a hisshi. ...Bf8 stops Qg7#.
Position after Qh6!!
abcdefgh
8
f8 black rook
g8 black king
f7 black pawn
h7 black pawn
f6 white pawn
g6 black pawn
h6 white queen
c5 black bishop
8
77
66
55
44
33
22
11
abcdefgh
This is a tsumero and a hisshi. Black cannot play ...Bf8 to defend Qg7# because his rook is there. ...Bd4 doesn't help.
Brinkmate in 2
abcdefgh
8
f8 black rook
g8 black king
f7 black pawn
g7 black pawn
h7 black pawn
f6 white pawn
f4 white queen
8
77
66
55
44
33
22
11
abcdefgh
1. Qg5! g6 2. Qh6!! brinkmate.

See also

References

  1. Fairbairn 1986, p. 29–30.

Bibliography

  • Fairbairn, John (1986). Shogi for beginners (2nd ed.). Ishi Press. ISBN 978-4-8718-720-10.
  • Kitao, Madoka (2014). Ending attack at a glance. Translated by Kawasaki, Tomohide. Nekomado. ISBN 978-4-9052-2513-3.


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