CHESSTTCAMPS:
White has a bishop for a knight, an outside passed pawn, and an
attacking focus on f7. Black also has very active pieces except for Rf8.
I remember first seeing this one from Fischer's early years a long
time ago, and recall the key move, but not the exact way the game
finished. In any case, it's critical to keep in mind the vulnerable
back ranks for both sides.30.Rxf7!! goes directly for the target,
with the primary threat of 31.Rf5+ Kh8 32.Rxf8#. White can deal with
each of black's counters:
A) 30... Rxf7? 31.Ra8+ forces mate.
B) 30... Qxd5? 31.Rxf8+ Kxf8 32.Qf1+ (protecting back rank;
of course not 32.exd5?? Rc1+) Qf7 (otherwise 33.exd5 wins) 33.Ra8+ Ke7
34.Ra7+ Ke8 35.Rxf7 wins.
C) 30... Rc1+ 31.Qf1!! (A brilliant
resource! 31.Rf1+?? Kh8! 32.Ra8 [Re1 Rxe1+ 33.Qxe1 Qf4! 33.g3 Qf3+
34.Kg1 Nf2! wins] Rxa8 33.Bxa8 Qf4! wins for black) Rxf1+ 32.Rxf1+ Qxd5
33.Rxf8+ Kxf8 34.exe5 with a won endgame (R+P for a N)
C.1) 31... g6 (or h6) 32.Qxc1! Qxc1 33.Rc1+ K-moves 34.Rxc1 wins a rook.
C.2) 31... Qf6 32.Rxf6+ forces mate,
C.3) 31... Nf6 33.Rxf6+ Rf7 (Qxd5 34.Rxf8#) 34.Ra8+ Rc8 35.Rxc8#
C.4) 31... other 32.Rxf8#
D) 30... Nf6 31.Rxf6+ Qxd5 32.Rxf8+ (exd5?? Rc1+) Kxf8 33.Qf1+ Qf7 34.Ra8+ wins as in B.
E)
30... g6 31.Qf1! (Rf5+? Kg7 32.Ra7+ Kh6 and the back rank problem again
burns white) Rfc8 32.Rf5+ Kg7/h8 33.Rxg5 Rc1 34.Kg1 Ne3 35.Qxc1 Rxc1+
36.Kf2 leaves white a rook ahead.
E.1) 31... Rxf7 32.Qxf7+ Kh8 33.Qg8#
F) 30... h6 31.Qf1! (Rc7+? Qxd5! 32.exd5 [Rxc3 Qe5] Rxc7)
Rxf7 32.Qxf7+ Kh7 33.Qg8+ Kg6 34.Qe8+ Kh7 (Kf6 35.Qe6#) 35.Bg8+ Kh8
36.Bf7+ Kh7 37.Qg8#