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Nactation: Letter hierarchies

Posted By: Nack Ballard
Date: Saturday, 22 October 2011, at 11:19 p.m.

In Response To: Nactation: Letter hierarchies (Taper_Mike)


2O ' ' ' '5X '3X ' '1X5O

1X ' ' '2O4O1X2O ' ' '4X

31P-62S-22


For the 31P-62S-22 rollout referenced, your nacbrac of [L H16 X35 N100] /10*1 is perfect.

...reflects my preference for H and X over, respectively, members of the D and B families.

The Nactation alternative to H is D (not D). The alternative to X is Z (not B).

There is no B family. If there were, it would be for 3:1 (including 1:3) plays just like the EACON families (and you would have used it correctly). However, seeing an opportunity for a more efficient division of labor (see second half of that post, for doublets) I chose instead to supplement B (2:2) with the similar-objective letters of S (3:1) and Z (1:3).

Now let's clarify D, J and I:

    D (Down) plays (both or) all four portions to or within the outer board.
    J (Jump) plays (both or) all four portions from outer to inner board.
    I (Inside) plays (both or) all four portions entirely within the inner board.

The underlined families of D, J and I play one portion in each of the three above ways. The fourth portion is duplicated/weighted. In short, for the three different ways of playing checkers to/within the near side:

    D (Down) is 2:1:1.
    J (Jump) is 1:2:1.
    I (Inside) is 1:1:2.

Applying these families to the 31P-62S-22 position, D = 13/11(2) 8/4, d = 13/9 8/4 (and for completeness D = 13/11(2) 8/6 5/3 and d = 13/9 8/6 5/3). J = 13/11 8/6(2) 6/4, and j = 13/11 8/6(2) 5/3. Finally, I = 13/11 8/6 6/4(2), and i = 13/11 8/6 5/3(2). So, in case someone makes one of these terrible plays, you know how to nactate it. :) BTW, in some positions (though a small percentage), a member of the D, J or I family is the best play.

Nack

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