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back-nack convergence -- partial spoiler

Posted By: Stein Kulseth
Date: Sunday, 4 July 2010, at 4:16 p.m.

In Response To: back-nack convergence -- partial spoiler (Nack Ballard)

Yes 5 rolls is the best I have found too, my solution is:

Backgammon:
43: 24/20 6/3
33: 24/21 13/10 8/5*/2
22: b/23* 13/9 6/4*
22: b/23(2) 24/22* 10/8
11: b/24 24/23 6/4

Nackgammon:
43: 23/16
33: 24/15 13/10
22: 16/14 13/9 6/4
24/22 15/13 10/6
11: 14/13 24/23 6/4

And notice that I actually only use one of the last 4 aces to achieve convergence, so it feels somewhat close to 4 :-)

(This also means that the solution is trivially not unique)

For a possible 4 rolls I have no proof, but I am fairly certain that it is impossible.

Messages In This Thread

• back-nack convergence
  Stein Kulseth -- Friday, 2 July 2010, at 2:43 p.m.
  • back-nack convergence
    Tom keith -- Saturday, 3 July 2010, at 2:51 a.m.
  • back-nack convergence -- partial spoiler
    Nack Ballard -- Saturday, 3 July 2010, at 8:38 a.m.
    • back-nack convergence -- partial spoiler
      Stein Kulseth -- Sunday, 4 July 2010, at 4:16 p.m.
      • back-nack convergence -- partial spoiler
        Casper van der Tak -- Sunday, 4 July 2010, at 4:38 p.m.
        • back-nack convergence -- partial spoiler
          Nack Ballard -- Sunday, 4 July 2010, at 9:55 p.m.
      • back-nack convergence -- partial spoiler
        Nack Ballard -- Sunday, 4 July 2010, at 9:51 p.m.