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62S-51H-54@-55 — Nactation Challenge

Posted By: Taper_Mike
Date: Sunday, 6 November 2011, at 11:43 p.m.

In Response To: 62S-51H-54@-55 — Nactation Challenge (Nack Ballard)

This turned out to be much more challenging than I expected!

Thanks to Tommy and Nack for correcting my mistake in the O (Outer) family.

I believe the following Nactations are correct, although I still have some concerns as to whether I have properly applied the "wrinkle" in the 6pt Convention to the move in the
I (Inside) family: 13/8, 7/2, 6/1(2).

Mike

Diagram 1

62S-51H-54@-55
XGID=-----bEAC---dDa--c-e----B-:0:0:1:55:0:0:3:0:10
62S-51H-54@-55 — Blue to play 5-5

This is the position before Blue plays 5-5.

Diagram 2

Family: I (Inside)
Rank: 1st
I = 13/8, 7/2, 6/1(2)
62S-51H-54@-55I — Blue has already moved.

Identify the Nactation Family:

  • 13/8 moves 1 checker down. 7/2 jumps the bar with 1 checker. 6/1(2) moves 2 checkers inside.
  • Far:Down:Jump:Inside = 0:1:1:2
  • Therefore, the family is I (Inside).

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: This play makes 1 new point. Net: +1
  • 6pt Convention:
    Owned Points: Irrelevant
    Blots & Spares: The blot moved to the 2pt is 4 pips away from the 6pt. By the wrinkle in the 6pt convention, this ranks better than leaving it on the 7pt.

Diagram 3

Family: I (Inside)
Rank: 2nd
i = 13/8, 8/3, 6/1(2)
62S-51H-54@-55i — Blue has already moved.

Identify the Nactation Family:

  • 13/8 moves 1 checker down. 8/3 jumps the bar with 1 checker. 6/1(2) moves 2 checkers inside.
  • Far:Down:Jump:Inside = 0:1:1:2
  • Therefore, the family is I (Inside).

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: This play makes 1 new point. Net: +1
  • 6pt Convention:
    Owned Points: Irrelevant
    Blots & Spares: The blot left on the 7pt is too close to the 6pt. The wrinkle in the 6pt Convention favors blots that that are farther away in the outer board.

Diagram 4

Family: J (Jump)
Rank: 1st
J = 13/8, 8/3(2), 6/1
62S-51H-54@-55J — Blue has already moved

Identify the Nactation Family:

  • 13/8 moves 1 checker down. 8/3(2) jumps the bar with 2 checkers. 6/1 moves 1 checker inside.
  • Far:Down:Jump:Inside = 0:1:2:1
  • Therefore, the family is J (Jump).

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: This play makes 1 new point. Net: +1
  • 6pt Convention: Irrelevant, because no other play in this family makes a new point.

Diagram 5

Family: O (Outer)
Rank: 1st
O = 13/3(2)
62S-51H-54@-55O — Blue has already moved.

Identify the Nactation Family:

  • This play moves 2 checkers into Blue's outer board, and 2 checkers out.
  • Far:Down:Jump:Inside = 0:2:2:0
  • Therefore, the family is O (Outer).
  • This play can also be nactated P (Point). See Diagram 8 below.

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: It makes a new point (the 3pt), while retaining the 8pt and the midpoint. Net: +1
  • 6pt Convention: Irrelevant

Diagram 6

Family: O (Outer)
Rank: 1st
O = 13/8, 8/3(2), 7/2
62S-51H-54@-55O — Blue has already moved

Identify the Nactation Family:

  • This play moves 1 checker into Blue's outer board, and 3 checkers out.
  • Far:Down:Jump:Inside = 0:1:3:0
  • Therefore, the family is O (Outer).

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: It makes a new point (the 3pt), while retaining the 8pt and the midpoint. Net: +1
  • 6pt Convention: Irrelevant

Diagram 7

Family: O (Outer)
Rank: 2nd
o = 13/8, 8/3(3)
62S-51H-54@-55o — Blue has already moved

Identify the Nactation Family:

  • This play moves 1 checker into Blue's outer board, and 3 checkers out.
  • Far:Down:Jump:Inside = 0:1:3:0
  • Therefore, the family is O (Outer).

Then apply the Hit/Most/Six Rule:

  • Hit Convention: There are no hits.
  • Most Points Convention: This play retains the midpoint, and makes the 3pt, but also abandons the 8pt. Net: 0
  • 6pt Convention: Irrelevant

Diagram 8

Family: P (Point)
Rank: 1st
P = 13/3(2)
62S-51H-54@-55P — Blue has already moved.

Identify the Nactation Family:

  • This play uses all 4 parts of the doublet 55 to make a new point.
  • Therefore, the family is P (Point).
  • This play can also be nactated O (Outer). See Diagram 5 above.

Then apply the Hit/Most/Six Rule:

  • As there is only one member of the P family in this position, the Hit/Most/Six Rule is irrelevant.

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