Saturday, August 27, 2016

Simple Checkmates: K+B+B vs K

W: Kh1, Bd1, Bb8
B: Kd5

White to play

Mate is possible in the corners and edges. Move the Bishops to diagonals next to each other.
1. Bb8-f4 already d1-h5 diag is controlled, this move controls c1-h6 diag
1. ...... Kd5-e4
2. Bf4-h6 if Bishop is attacked, go to the other side on the same diag
2. ...... Ke4-e5
3. Bd1-c2 increasing the cutoff to b1-h7 diag
3. ..... Ke5-d5
4. Bh6-g7 increasing the cutoff to a1-h8 diag
4 ..... Kd5-d6
5. Bc2-b3 increasing the cutoff to a2-g8 diag
5. ..... Kd6-c6
6. Bg7-f8 increasing the cutoff to a3-f8 diag
6. ..... Kc6-c7
7. Bb3-a4 increasing the cutoff to a4-e8 diag
7. ..... Kc7-b7
8. Bf8-b4 Kb7-a6
9. Kh1-g2 if you cannot increase the cutoff bring the King closer
9. ..... Ka6-b6
10. Kg2-f3 Kb6-a6
11. Kf3-e4 Ka6-b6
12. Ke4-d5 Kb6-a6
13. Kd5-c6 Ka6-a7
14. Bb4-a5 increasing the cutoff to a5-d8 diag
14. ..... Ka7-a6
15. Ba5-d8 if Bishop is attacked go to the other side of the same diagonal
15. ..... Ka6-a7
16. Ba4-b5 Ka7-b8
17. Bb5-a6 increasing the cutoff to a6-c8 diag
17. ..... Kb8-a7
18. Kc6-b5 Ka7-b8
19. Kb5-b6 leaving the black King with only 2 squares freedom
19. ..... Kb8-a8
20. Ba6-b7+ Ka8-b8
21. Bd8-c7#

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