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A Procedural Description of Hit/Most/Six ** Updated **
Posted By: Taper_Mike In Response To: Nactation Questions — Clarifying Parts of Hit/Most/Six (Taper_Mike)
Date: Friday, 25 November 2011, at 9:32 a.m.
This is a procedural description of the Hit/Most/Six Rule. It is procedural in the sense that the actions or procedures necessary in comparing two positions are layed out explicitly. I find this to be the easiest way to give a succinct, yet exact, description of Hit/Most/Six.
This is a substantial rewrite of my original description. One key error has been fixed, to wit: more points in the home board outranks any hit, inside or out.
Any corrections or criticisms are welcome.
Mike
Hit/Most/Six Rule
Use the following procedure to compare two plays within a Nactation family, and determine which ranks higher.
- First, compare the plays using the Hit Convention.
- If the plays are tied under the Hit Convention, compare them using the Most-Points Convention.
- If the plays are still tied, compare them using the Six-Point Convention. It cannot result in a tie.
1. Hit Convention
- No Hits — If neither play hits, then the plays are tied under the Hit Convention.
- Most Home Board Points — Otherwise, if one play results in more owned points in the home board than the other, then it ranks higher in the Nactation family. This is true whether it hits or not.
- Most Hits — Otherwise, if one play makes more hits overall than the other, then it ranks higher in the Nactation family.
- Hits on Highest Point(s) — Otherwise, the two plays must make the same number of hits. Begin at the 24pt, and work backwards down to the 1pt, until you find a point where a hit occurs in one position, but not in the other. The postion with the hit ranks higher in the Nactation family.
- Otherwise, the two plays are tied under the Hit Convention.
2. Most-Points Convention
- Most Points — If one play results in more owned points than the other, then it ranks higher in the Nactation family.
- Otherwise, the plays are tied under the Most-Points Convention.
3. Six-Point Convention
In general, being closer to the 6pt is better. Blot and spare destinations in the outer board, however, rank higher when they are farther from the 6pt.
- First, compare the Locations of Owned Points.
- If that results in a tie, compare the Destinations of Blots and Spares.
3.1 Locations of Owned Points
- Closest Point(s) to 6pt — Begin at the 6pt, and search outwards in both directions, one point at a time, until you find a point that is made in one position, but not in the other. The position in which the point is made ranks higher in the Nactation family.
- Ties Go to the Inner Board — At a given distance from the 6pt, holding a point in the inner board outranks holding a point in the outer board.
- Otherwise, the set of owned points must be the same for both plays. They are tied according to the Locations of Owned Points.
3.2 Destinations of Blots and Spares
In this step, we're talking just about the checkers that were moved in a play. Blots and spares that were not moved are not considered.
- Home Board — Begin at the 6pt, and search down to the 1pt, until you find a blot or spare destination that exists in one position, but not in the the other. The position which has the blot or spare ranks higher in the Nactation family.
- Far Side — Otherwise, begin at the 13pt, and search out to the 24pt, until you find a blot or spare destination that exists in one position, but not in the the other. The position which has the blot or spare ranks higher in the Nactation family.
- Outer Board — Otherwise, begin at the 7pt, and search out to the 12pt, until you find a blot or spare destination that exists in one position, but not in the the other. The position which has the blot or spare ranks lower in the Nactation family.
- In the event the two plays under consideration are still tied, then they are identical! A tie is not possible.
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