Position of Mutual Zugzwang
Troitsky| a | b | c | d | e | f | g | h | ||
| 8 | 8 | ||||||||
| 7 | 7 | ||||||||
| 6 | 6 | ||||||||
| 5 | 5 | ||||||||
| 4 | 4 | ||||||||
| 3 | 3 | ||||||||
| 2 | 2 | ||||||||
| 1 | 1 | ||||||||
| a | b | c | d | e | f | g | h |
There are positions of mutual zugzwang in the endgame with two knights versus one pawn. In this position, White to move draws but Black to move loses. With Black to move:
- 1... Kh7
- 2. Ne4 d2
- 3. Nf6+ Kh8
- 4. Ne7 (or 4.Nh4) d1=Q
- 5. Ng6#
With White to move, Black draws with correct play. White cannot put Black in zugzwang:
- 1. Kf6 Kh7
- 2. Kf7 Kh8
- 3. Kg6 Kg8
- 4. Ng7 Kf8
- 5. Kf6 Kg8
- 6. Ne6 Kh7! (but not 6...Kh8? because White wins after 7.Kg6!, which puts Black to move)
- 7. Kg5 Kg8
- 8. Kg6 Kh8
and White has no way to force a win (Averbakh & Chekhover 1977:106).
Read more about this topic: Two Knights Endgame
Famous quotes containing the words position of, position and/or mutual:
“Unfortunately, life may sometimes seem unfair to middle children, some of whom feel like an afterthought to a brilliant older sibling and unable to captivate the family’s attention like the darling baby. Yet the middle position offers great training for the real world of lowered expectations, negotiation, and compromise. Middle children who often must break the mold set by an older sibling may thereby learn to challenge family values and seek their own identity.”
—Marianne E. Neifert (20th century)
“To be free in an age like ours, one must be in a position of authority. That in itself would be enough to make me ambitious.”
—Ernest Renan (1823–1892)
“Rules and particular inferences alike are justified by being brought into agreement with each other. A rule is amended if it yields an inference we are unwilling to accept; an inference is rejected if it violates a rule we are unwilling to amend. The process of justification is the delicate one of making mutual adjustments between rules and accepted inferences; and in the agreement achieved lies the only justification needed for either.”
—Nelson Goodman (b. 1906)