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Fifteen checkers on the bar, fewest moves

Posted By: Nack Ballard
Date: Wednesday, 9 June 2010, at 2:35 a.m.

From the starting position of backgammon, what is the fewest number of moves required to get 15 checkers on the bar?

Extra credit: What is the fewest number of moves required to get 15 checkers on the bar and for one player to have a six-point prime?

[By "moves," I mean a full move: two roll+plays, one by each player. (For example, if a total of 25 rolls are played, that's twelve and a half moves. That said, let's not debate terminology; however you prefer to express units (rolls, moves, turns, plays, whatever), please just clarify what you mean, preferably with the sequence spelled out.]

Have fun!

Nack

Messages In This Thread

• Fifteen checkers on the bar, fewest moves
  Nack Ballard -- Wednesday, 9 June 2010, at 2:35 a.m.
  • Fifteen checkers on the bar, fewest moves
    Daniel Murphy -- Wednesday, 9 June 2010, at 3:51 a.m.
    • Fifteen checkers on the bar, fewest moves
      Stick -- Wednesday, 9 June 2010, at 3:59 a.m.
      • Fifteen checkers on the bar, fewest moves
        Daniel Murphy -- Wednesday, 9 June 2010, at 4:22 a.m.
        • Fifteen checkers on the bar, fewest moves
          Christian Munk-Christensen -- Wednesday, 9 June 2010, at 7:54 a.m.
  • Fifteen checkers on the bar, fewest moves
    Michael Nielsen -- Wednesday, 9 June 2010, at 5:06 p.m.
    • 7 rolls
      Michael Nielsen -- Wednesday, 9 June 2010, at 6:19 p.m.
      • 7 moves of course *NM*
        Michael Nielsen -- Wednesday, 9 June 2010, at 6:27 p.m.
      • 7 rolls
        Ray Kershaw -- Wednesday, 9 June 2010, at 7:37 p.m.
      • Now with six-point prime, please :)
        Nack Ballard -- Thursday, 10 June 2010, at 12:32 a.m.
        • Now with six-point prime, please :)
          Matt Cohn-Geier -- Thursday, 10 June 2010, at 12:34 a.m.
          • Now with six-point prime, please :)
            Nack Ballard -- Thursday, 10 June 2010, at 1:00 a.m.
            • Now with six-point prime, please :)
              Daniel Murphy -- Thursday, 10 June 2010, at 1:25 a.m.
              • Slot Rule (a.k.a. "slotgammon")
                Nack Ballard -- Thursday, 10 June 2010, at 1:45 a.m.
            • Now with six-point prime, please :)
              Matt Cohn-Geier -- Thursday, 10 June 2010, at 1:25 p.m.
              • Now with six-point prime, please :)
                Timothy Chow -- Thursday, 10 June 2010, at 3:30 p.m.
                • Now with six-point prime, please :)
                  Matt Cohn-Geier -- Thursday, 10 June 2010, at 6:22 p.m.
          • Mind-boggling puzzles
            Timothy Chow -- Thursday, 10 June 2010, at 5:25 a.m.
            • OT: Another example
              Timothy Chow -- Thursday, 10 June 2010, at 5:31 a.m.
              • OT: Another example
                Nack Ballard -- Thursday, 10 June 2010, at 7:15 a.m.
                • OT: Another example
                  Timothy Chow -- Saturday, 12 June 2010, at 1:05 a.m.
                  • OT: Another example
                    Nack Ballard -- Saturday, 12 June 2010, at 4:04 a.m.
  • Fifteen checkers on the bar, fewest moves
    Keene -- Wednesday, 9 June 2010, at 6:35 p.m.
    • Fifteen checkers on the bar, fewest moves
      Nack Ballard -- Thursday, 10 June 2010, at 12:18 a.m.