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Three-cube position

Posted By: Nack Ballard
Date: Friday, 16 September 2011, at 6:37 p.m.

In Response To: Three-cube position (Timothy Chow)

Maybe is a bearoff position(s) on the Sconyers database that work. However, here's a middle game possibility I discovered while fiddling around:

According to XG2 4-ply evaluations:

........ Bl.... Ce... Wh

M.... 16 ............ 0
e...... 24..... 0
K...... 0.... 78.... 8
E..... 41........... 15

Key: Cube positions are Bl = Blue has cube, Ce = Centered cube, Wh = White has cube. Plays are M = Bar/24 12/11 5/4 3/2*, e = Bar/24 5/4 3/2*/1, K = Bar/24 10/8*/7*, E = Bar/24 21/20 5/4 3/2*. A zero refers to the best play, blank space means a whopper, and otherwise (negative) margins are in thousandths.

For example, in the first row, M is best when White owns the cube, -.016 when Blue owns the cube, and a whopper when the cube is Centered.

There are thousands of variants. If someone cares to do rollouts, then from the results I believe I can tweak the diagrammed position above so that a different checker play is best for each of the three cube positions (if that is not already the case).

Nack

Messages In This Thread

• Three-cube position
  Timothy Chow -- Thursday, 15 September 2011, at 10:26 p.m.
  • Three-cube position
    Nack Ballard -- Friday, 16 September 2011, at 6:37 p.m.
    • Thanks, Nack! *NM*
      Timothy Chow -- Friday, 16 September 2011, at 11:39 p.m.