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Four-Points Mystery -- SOLUTION

Posted By: Nack Ballard
Date: Wednesday, 27 March 2019, at 11:25 p.m.

In Response To: Four-Points Mystery (Nack Ballard)





White is Player 2

score: 0
pip: 138
Unlimited Game
Jacoby Beaver
pip: 170
score: 0

Blue is Player 1
XGID=-a--D-C-----dE---c-e-b-AB-:0:0:1:00:0:0:3:0:10

Each side played twice


From the standard opening position, each side (legally) moved twice. How is this possible?


SOLUTION

Congratulations to Casper, Brian Lonergan, Kevin McDonough and Bob Koca, for solving the Four-points Mystery!

Here is the sequence:






White is Player 2

score: 0
pip: 158
Unlimited Game
Jacoby Beaver
pip: 159
score: 0

Blue is Player 1
XGID=-b--D-A-C---dE---c-e-a--B-:0:0:-1:55:0:0:3:0:10

White slotted her 4pt with 63 (or 54),
and Blue played four deuces to the 4pt


White wins an opening roll of 63 or 54 and plays $ (Slot, 13/4), and in reply Blue rolls 22 and plays 6/4(4), as shown above.

Now, White rolls 55, and...






White is Player 2

score: 0
pip: 138
Unlimited Game
Jacoby Beaver
pip: 178
score: 0

Blue is Player 1
XGID=-a--D---C---dE---c-e-b--BA:0:0:1:22:0:0:3:0:10

Blue to play 22


With 55, White hit on her 19pt and continued on with the same checker, covering her 4pt.

Blue then rolled 22, entering and remaking his 6pt (with three checkers), thereby reaching the target/final position below.






White is Player 2

score: 0
pip: 138
Unlimited Game
Jacoby Beaver
pip: 170
score: 0

Blue is Player 1
XGID=-a--D-C-----dE---c-e-b-AB-:0:0:1:00:0:0:3:0:10

Final Position


Some of you no doubt saw that 32Z (reverse split, 24/22 13/10) + 66 solved White's position and tried to make that roll combination work. For example, Blue could start by breaking his 8pt with 54, White hits with on the 22pt and Blue enters with 22. However, that leaves Blue one deuce short in the final position. That is why White must hit on Blue's 6pt instead of on Blue's 4pt, so that in effect Blue will have played an extra 6/4.

Nack

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