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Bridges

Copyright 1997, Jim Loy
You may print this and show it to others. But, this article will eventually be part of a book that I am writing. So, please do not distribute it widely.

If you need help reading checkers notation, please print out the numbered board.


Note: Diagram #1 says "Red draws / White draws." This means that if Red moves then White draws, and if White moves then White draws.

In diagram #1, the Red pieces on 1 and 3 make up a "bridge." My mind refuses to understand why it is called a bridge. But it is an important feature of many endings.

Here, in order to king a piece, White had to establish a piece on 10. This piece is now a weakness and a target. Depending on the situation, the weakness may be bad enough to lose.

In diagram #1, if it is Red's move, White has the move, and an easy draw: 19-23 2-7 23-18 7-11 (7-2 is perhaps a more obvious draw) 18-14 11-7 14-9 7-2 draw.

Again, in diagram #1, if it is White's move, the draw is much more difficult: 2-7 (2-6 19-16 28-24 16-20 24-19 20-24 19-16 24-19 to same) 19-16 7-2 16-11 28-24 11-16 2-6*(A) 16-20 24-19 20-24 19-16 24-19 16-11 draw. I originally thought that this position was a Red win. Gwyn Judd pointed out my mistake, at note A.

A - 2-7 (24-20 16-11 RW) 16-20 24-19 20-24 19-16 (19-15 1-6 RW) 24-19 16-12 19-16 7-2 16-11 RW.


The best way to deal with a bridge is to demolish it. Maybe that's not good advice in everyday life. But it is in checkers. In diagram #2, White's easiest draw is 31-26 28-32 26-22 32-27 22-17 27-23 10-7 draw.


Addendum #1

See Petterson's Drawbridge, and A Bridge Ending by H. Morrall.

A couple tricks:

1. Here is a bridge ending that White wins. Try to see what you can do to win.

The win: 15-19 22-26 (to prolong the game, Red has to give up the piece with 23-26) 19-24 27-31 29-25 20-27 25-22 WW.

2. In the second diagram, we see a trick that often draws, for the weaker side. Here it wins, because White has foolishly lined up his pieces for Red's shot. Red's win: 21-25 30-21 23-27 RW.


On the left is another example of the previous trick, which came up in my study of an opening. White can draw in a couple of ways, but the easiest is: 32-27! (21-17 draws) 23-32 12-8 3-12 10-6 draw.


Addendum #2:

On the right we have two positions which occur in rapid succession in Churchill's Compilations, where a White win is claimed. You should be able to find the nearly identical draw in both positions. These positions come about like this:

9-14 22-17 6-9 26-22 11-15 24-19 15-24 28-19 8-11 22-18 11-16 17-13 1-6 (2-6 draws E. Fuller) 31-26 16-20? (7-11 may draw) 25-22 14-17 21-14 10-17 29-25 17-21 18-15 (22-17 WW E. Churchill) 4-8 22-17 7-10 25-22 3-7 22-18 9-14 18-9 5-14 19-16 10-19 17-3* 19-24 23-18? (23-19 WW) 24-31 26-22 12-19 3-12 19-23 22-17 31-26 12-16? (Red probably has a difficult draw after 18-14) [first diagram] 26-22? (21-25 draw) 18-15? 22-26 16-11 [second diagram] 26-31? (21-25 draw) to a WW, E. Churchill.


Addendum #3

Here is a well-played ending:

J. Searight - A. Jordan, Scotland v England 1899
11-15 24-19 15-24 28-19 8-11 22-18 11-16 25-22 16-20 22-17 9-13 17-14 10-17 21-14 6-10 14-9 5-14 18-9 1-5 9-6 2-9 23-18 10-14 18-15 7-11 15-8 4-11 29-25 14-17 25-22 9-14 22-18 14-23 27-18 17-22 26-17 13-22 19-15 12-16 15-8 3-12 18-14 16-19 14-10 19-24 10-7 5-9 7-2 9-14 2-7 14-18 7-10 18-23 10-15 24-27 31-24 20-27 [diagram] 15-19 22-26 19-24 26-31 24-19 31-26 19-24 27-31 24-19 31-27 19-15 12-16 15-19 16-20 19-24 27-31 24-19 20-24 19-28 31-27 30-25 27-24 28-19 26-31 19-26 31-29 RW


Addendum #4

More examples: This position is from E. Ingram - J. Sprague, 1952 U.S. National: 12-8 (White moved 2-6? and lost) is a simple draw.

On the right is a position from V. DeLong - P. Semple, 1952 U.S. National (p.11). The solution: 22-18* (Red moved 22-26? to lose; you might want to check out that it does lose) 14-10 (or 13-9 similar) 18-15* 10-7 23-27* 32-23 28-32* draw


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