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Most checkers on the bar

Posted By: Ray Kershaw
Date: Monday, 7 June 2010, at 10:28 p.m.

In Response To: Most checkers on the bar (bob koca)

I think Bob is correct.

In his home board, Black has 2 checkers on his 6pt and 1 checker on each of the other five points.

In her home board, White has 3 checkers on her 6pt.

Black sends 12 White checkers to the bar (made possible because White keeps dancing with 66).

Then Black rolls a 1 and plays 6/5 so that Black has 1 checker on each of his home board points.

Then White rolls 21 to send 2 Black checkers to the bar. Black fans. Then White rolls 43 to send 2 more Black checkers to the bar. Black fans. Finally White rolls 65 to send 2 more Black checkers to the bar.

At this point, Black and White each have 6 checkers on the bar.

If White has only 2 checkers on her 6pt, then Black can send 13 White checkers to the bar. The above sequence then results in 7 White checkers and 6 Black checkers on the bar.

In summary, the maximum number of checkers on the bar is 15 (all of one color); the maximum number of checkers on the bar is 13 if each color has to be on the bar; and the maximum number of checkers on the bar is 12 if there are an equal number of each color (Nack's constraint).

Messages In This Thread

• Most checkers on the bar
  Nack Ballard -- Monday, 7 June 2010, at 7:59 p.m.
  • Most checkers on the bar
    bob koca -- Monday, 7 June 2010, at 8:06 p.m.
  • Most checkers on the bar
    bob koca -- Monday, 7 June 2010, at 8:09 p.m.
    • Most checkers on the bar
      Ray Kershaw -- Monday, 7 June 2010, at 10:28 p.m.
      • Most checkers on the bar
        Timothy Chow -- Monday, 7 June 2010, at 10:41 p.m.
      • Most checkers on the bar
        Steve Mellen -- Monday, 7 June 2010, at 11:48 p.m.
        • Most checkers on the bar
          Ray Kershaw -- Tuesday, 8 June 2010, at 7:36 a.m.
  • Thirty Checkers on the Bar
    Paul Weaver -- Monday, 7 June 2010, at 9:17 p.m.
    • Thirty Checkers on the Bar
      Stick -- Monday, 7 June 2010, at 9:29 p.m.
      • Thirty Checkers on the Bar
        Nack Ballard -- Monday, 7 June 2010, at 9:41 p.m.
    • Thirty Checkers on the Bar
      Nack Ballard -- Monday, 7 June 2010, at 9:37 p.m.
  • Most checkers on the bar
    Stein Kulseth -- Tuesday, 8 June 2010, at 8:47 a.m.