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Number of checkers represented at lower counts

Posted By: Nack Ballard
Date: Thursday, 4 February 2010, at 9:38 p.m.

In Response To: Very nice, but just a tad conservative for raw pip counts (David Rockwell)

Excellent point! I guess we need to sophisticate our definition of minimal wastage standard.

The optimal bearoff distribution for 15 checkers is 7-5-3 (6pt 5pt 4pt), right? (I used to know.) That's a count of 79. At 78 pips, perhaps it should be reduced to 14 checkers.

At 20 pips, 1-2-1 (6pt 5pt 4pt) seems like a reasonable minimal wastage.

We can get from the 78-pip position (14 checkers) to the 20-pip position (4 checkers) by gradually peeling away a checker every 5 or 6 pips. Thus, a table that balances the desire to represent maximal checkers with minimal wastage could be constructed to look something like this:

15 - 79 and above
14 - 78 to 73
13 - 72 to 67
12 - 66 to 61
11 - 60 to 55
10 - 54 to 50
9 - 49 to 45
8 - 44 to 40
7 - 39 to 35
6 - 34 to 30
5 - 29 to 25
4 - 24 to 20

How does that sound?

Nack

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