3 pieces behind the diagonal 5-46
In this analysis we will look at some 4 against 2 endgames where white has three pieces behind the main diagonal 5-46. The only way to chase the black king away from this diagonal is to build a suitable capture position. Often this makes the white pieces vulnerable to attacks with the black king.
Barski 439, white wins as follows: 1.17-44 16-21 2.44-35 Now black must leave the main diagonal because of 21-26? 3.15-10 23x5 4.20-14 5x30 5.35x19 W+. ≡ 23-34 3.24-19! (and not ≡ 3.20-14? 21-27 4.24-19 27-32 5.35-24 32-37 6.24-47 34-30 =) ≡ 21-27 4.35-24! and in this position black is defenseless.
Barski 440 Draw! White cannot reach the capture position from diagram 1, for example 1.17-8 46-41 2.25-20 41-46 3.35-30 16-21! 4.8x26 46-19 5.30-25 with a standard draw position. Notice that if the white piece on 35 is moved to one of the squares 40/44/45/49/50 the position is still a draw.
Draw. White has only one plan in this position: advance with the piece on 47 to 38, and make a capture position. After some quick analysis with the computer it becomes evident that black has many ways to force a draw when white advances the piece on 47. A nice corner case is: 1.3-12 37-46 2.47-42 46-41 3.42-38 41-37* and now white can choose between 1) 4.12-26 37-28* and 2) ≡ 4.12-8 37-26* 5.8-3 26-37 with repetitive moves, and 3) ≡ 4.38-33 37-26* 5.12-3 26-31* and now 3.1) 6.20-14 31-9 7.14-10 9-22 8.33-29 16-21 9.3x26 22-18 etc. = or 3.2) ≡ 6.33-28 31-37* 7.28-22 37-31 8.22-17 31-37! and white's position of the king is so awkward that black can simply make a second king after 9.17-12 16-21 10.12-8 21-27 11.8-2 27-31 with a draw. N.B. also when the white piece on 47 is moved to 48 it is still a draw.
In this position white can simply win by first advancing with 47 to 24 and then follow the plan in diagram 1.
In this position black has exactly one way to force a draw: 28-41* This has everything to do with the variant 3.48-43 16-21* 4.43-38 41-36* and because of the black king on the crucial square 36 white cannot advance with 5.15-10? because of the attack 36-47. If black instead plays the careless move ≡ 28-37? then white wins after 3.48-43 16-21 4.43-38 37-31 5.15-10 31-4 6.10-5 4-15 7.38-32! 15x27 8.5-32 W+.
To increase the understanding of this endgame an extra diagram is useful. Here black has two possible moves, namely 5-23 and ≡ 5-41, both with the objective to prevent the white move 2.42-38. Suppose white wants to prepare this move with 3.49-43 then black can continue with 41-19 4.42-38 19-23* (to prevent the move 5.43-49) ≡ 5.38-33 23-12! and white can no longer defend the loose pieces, for example 6.20-14 12-3* 7.14-10 16-21 8.43x16 3-17 etc. =.
© Wieger Wesselink https://10x10.org