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Nactation of Doublets (complete table)

Posted By: Taper_Mike
Date: Saturday, 29 October 2011, at 1:16 a.m.

Beginning with a simple question of about the Nactation of 31P-62S-22, and with very little fanfare, Nack Ballard revealed this month the details of a major new upgrade in the Nactation of doublets.

It is all based on a breakdown of the play of doublets into four separate moves. Each of the moves can be uniquely assigned to one of the following board areas:

  • Far The entire move is made on the far side of the board, including entering a checker from the bar. The checker can land anywhere on the far side, from the midpoint on up.
  • Down A move made to or within the outer board. The checker must land in the outer board on the near side, but can be moved from any point in either outer board.
  • Jump Jumping over the bar means moving a checker from a point in the outer board, and landing on a point in the inner board.
  • Inside A checker is moved entirely within the inner board, including checkers that are borne off.

With these definitions, any play of doublets can be described by counting how many movements are made in each area of the board. In the early game, for instance, 11 is often played 8/7(2), 6/5(2). Two checkers are played down to make the bar point, and two more are played inside to make the 5pt. Technically, that move is described as a simple doublet (because the checkers are moved in pairs), but the ideas of counting still apply.

As an example of a complex doublet, in which the checkers are not moved in pairs, consider the Mayfair split. When 22 is rolled in the third roll circumstance 31P-64R-22, the best play is the Mayfair split: 24/22, 13/11*, 6/2(2). One checker is moved on the far side, one checker is played down from the midpoint, and two are moved inside to make the 4pt. A table at the end of this post lists all 35 permutations of far, down, jump and inside, and gives the Nactation family for each one.

In order to accommodate the many combinations, Nack created twelve new Nactation families. The twelve families formerly assigned to OCEAN DJI GYMQ have each been split in half. For a roll of doublets, each letter now has a regular family and an underlined family. The underlined families are only used when doublets are rolled. When a non-doublet is rolled, the families are not divided. At first, you may be tempted to complain, "That's too much clutter." After using the underlined families for a while, you will realize that (by design) the combination of the division of labor and the hit/most/six rule very often awards the best play a capital letter.

It is not always necessary to use the new system. For complex doublets, it is possible to resort to assumptive Nactation as described in Section 6 of the current tutorial. However, mastery of the information in this post will allow you to convey even the trickiest doublets plays with laser accuracy.

In case you missed them, here are some links to Nack's original posts. Best is probably to read the entire thread, but in case you want to jump in in the middle these links give the highlights.

Mike


Nactation of Doublets

Letter Far Down Jump Inside
B 2 2 0 0
S 3 1 0 0
Z 1 3 0 0
E 2 0 0 2
E 3 0 0 1
E 1 0 0 3
A 0 0 2 2
A 0 0 3 1
A 0 0 1 3
C 2 0 2 0
C 3 0 1 0
C 1 0 3 0
O 0 2 2 0
O 0 3 1 0
O 0 1 3 0
N 0 2 0 2
N 0 3 0 1
N 0 1 0 3

Letter Far Down Jump Inside
U or R 4 0 0 0
D 0 4 0 0
D 0 2 1 1
J 0 0 4 0
J 0 1 2 1
I 0 0 0 4
I 0 1 1 2





Y 2 0 1 1
Y 2 1 0 1
Y 2 1 1 0
M 1 1 0 2
M 1 1 2 0
M 1 1 1 1
G 1 2 1 0
G 1 2 0 1
Q 1 0 1 2
Q 1 0 2 1

 

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