57. Kf1 Ke4! 58. Kf2 Kf4 59. Kf1 Kg3, Black wins the white pawn. Second example Triangulation can occur in endgames other than king and pawn endgames, such as this game in the 1965 Candidates Tournament, in which future World chess champion Boris Spassky defeated former world champion Mikhail Tal and won the right to challenge the then-current champion Tigran Petrosian. White would be in zugzwang if it were his move. Black achieves this through triangulation: 64... Kd2 65. Re4 Kc3! 66. Rh4 Kd3 67. 0-1 Now it is back to the same position, but with White to move, and now White is in zugzwang. White must lose the rook or allow the f-pawn to advance towards promotion . Example in king and pawn endgame Usually when a king triangulates in a king and pawn endgame, it is close to the other king and triangulation gains the opposition, putting the opponent in zugzwang. This position (from analysis of a game between Alexey Shirov and Alexander Grischuk in New Delhi in 2000) shows an example when the kings are far apart. White triangulates to put Black in zugzwang: 1. Kh2! Kf7 2. Kg3 Ke8 3. Kg2! and amazingly Black is in zugzwang. The game could continue: 3... g4 4. Kg3 Kf7 5. Kf4 Ke8 6. Ke5 Kf7 (Black cannot allow White to move Ke6) 7. Kd5 g3 8. Kc6 g2 (If 8... Ke8 9. d7+ Kxe7 10. Kc7 and White wins easily) 9. Kd7 g1=Q 10. e8=Q+ and White wins. Triangulation with other pieces For an example of triangulation with a queen, see the queen versus rook position at Philidor position. The game Fischer versus Taimanov, fourth match game shows a similar tactic with a bishop. A rook can also perform the maneuver, but a knight cannot. Example with a rook In this game between future FIDE World Champion Veselin Topalov and former world champion Anatoly Karpov, White triangulates with his rook to put Black in zugzwang: 1. Rh7+! Kd8 2. Rh8+ Kd7 3. Rh6 back to the same position and Black is in zugzwang. The game continued: 3... Kd8 4. Rh7 zugzwang again 4... Rb4 5. Ka7 Ra4+ 6. Kb6 1-0 See also Key square References Bibliography Further reading pages 119-21 External links Interactive King Triangulation Endgame vs Chess Computer Chess terminology Chess tactics Chess theory Chess endgames