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New: 5 x 3 backgammon puzzle

Posted By: Nack Ballard
Date: Monday, 28 June 2010, at 1:59 a.m.

My previous puzzle involved putting three checkers on each of five points.

This new puzzle is the converse: It involves stacking FIVE checkers on each of THREE points. The fully phrased puzzle is...

From the starting position of backgammon, is it possible for both players to vacate their originally occupied points and end up with a stack of five checkers on each of three new points?

If you find that it IS possible, please list the rolls and plays in your sequence. The best solution is the one that requires the fewest moves.

White's home board
Blue's home board

The starting position of backgammon is shown in the diagram above. An example of an acceptable end position is shown below.

To clarify, it is okay for a player to end up with a stack of his checkers on his opponent's 6pt, 8pt, 13pt and/or 24pt, but it is NOT okay for a player to end up with a stack on his own 6pt, 8pt, 13pt and/or 24pt.

White's home board
Blue's home board

Have fun!

Nack

Messages In This Thread

• New: 5 x 3 backgammon puzzle
  Nack Ballard -- Monday, 28 June 2010, at 1:59 a.m.
  • New: 5 x 3 backgammon puzzle
    Stein Kulseth -- Monday, 28 June 2010, at 8:32 a.m.
    • New: 5 x 3 backgammon puzzle
      Stein Kulseth -- Monday, 28 June 2010, at 2:23 p.m.
      • New: 5 x 3 bg puzzle(SPOILERS)
        Stein Kulseth -- Tuesday, 29 June 2010, at 2:47 p.m.
        • New: 5 x 3 bg puzzle(SPOILERS)
          Nack Ballard -- Tuesday, 29 June 2010, at 3:46 p.m.
          • New: 5 x 3 bg puzzle(SPOILERS)
            Stein Kulseth -- Wednesday, 30 June 2010, at 12:02 a.m.