Strategy--Checker play

Forum Archive : Strategy--Checker play

Kleinman Count for bringing checkers home

From:   Řystein Johansen
Date:   23 February 2001
Subject:   Re: Kleinman Count

> The count I;'m seeking will be low, in the 6 to 9 range give or take a
> tad. You assign certain values to checkers in the outer tables and,
> depending upon your impending roll you have to keep the 'Kleinman Count'
> even to stay out of trouble when bearing in against opposition.
> Something like being able to take a double six next roll; I think!

I don't refer to this count as the Kleinman Count (obviously). The count
you are referring to is described in Jeff Ward's book "Winning is more
fun". I don't have any name on this count, but it may be one of Danny's

The count can be applied on closed board situation when you don't want
to leave a shot (i.e. your opponent has a man on the bar, and you have a
closed board).

Since a closed board will use 12 of your checkers the count is all about
the remaining 3 checkers. The whole theory is based on a postulate: "If
6-6 doesn't leave a shot in such situation, no other roll will leave a
shot." I have not found any practical possible positions that violates
this postulate.

Here a short brief:
Divide the board into 5 zones:
Zone 1: 1-point to 5-point (and off)
Zone 2: 6-point to 11-point
Zone 3: 12-point to 17-point
Zone 4: 18-point to 23-point
Zone 5: 24-point and bar

For each of the 3 checkers, count 1 for each in zone 1, count 2 for each
in zone 2, count 3 for each .... ....

If the total sum is 6 or 4, then 6-6 will leave a shot. The safe values
of the sum is 5, 7 and any number higher than 7.

Remember you don't have to recalculate this count for each roll you're
making, just decrement the sum by one for each time you cross from one
zone to another!

Hope this was the count you where looking for!

Řystein Johansen  8^)
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Strategy--Checker play

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How to trap an anchor  (Timothy Chow+, Apr 2010) 
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