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Mystery of the Six Blots, Part 2

Posted By: Nack Ballard
Date: Saturday, 30 April 2016, at 2:14 a.m.





White is Player 2

score: 0
pip: 186
Optional Match Score
pip: 189
score: 0

Blue is Player 1
XGID=-c----D-C---fAAAAAAf----B-:0:0:1:00:0:0:0:0:10

With perfect play (using any match score),
reach a position with the six blots shown


PROBLEM 1: Beginning from the opening position (with either player going first), both players play perfectly (according to XGR++ evaluation). You may use any match score (or unlimited, Jacoby or not) that you like, as long as it is consistent throughout. Is it possible for Blue to end up with one blot on each of the six points in White's OUTER board, and if so how?

[What is relevant is the upper right quadrant of the diagram. The other 24 checkers (9 Blue, 15 White) are not necessarily on the points shown. I placed them on starting point locations just for orientation purposes.]

PROBLEM 2: What is the fewest number of moves that accomplish this feat?

PROBLEM 3: Same, but the cube does NOT remain centered.


Good luck!

Nack

P.S. To read about the original six-blot mystery (Part 1), click here.

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