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A solution

Posted By: Nack Ballard
Date: Sunday, 12 June 2016, at 6:32 a.m.

In Response To: Are there more 4th roll positions than 3rd roll positions? (Paul Weaver)





White is Player 2

score: 0
pip: 184
Unlimited Game
Jacoby Beaver
pip: 160
score: 0

Blue is Player 1
XGID=ab----E-C---dEa--c-dAA----:0:0:-1:00:0:0:3:0:10

21$-43U


The above position can be reached after just two moves, but it is also tied for the position that takes the MOST number of moves to reach.

.....21$-43U-55H-32H-55H-32H-55H-32H-55H-32H... (ad nauseum).

(A less trivial example is that the opening position can be reached in zero moves or in an infinitely large number of moves.)

With the $5, have a beer on me.

If you want a puzzle I doubt anyone will try to solve, you might pose the question this way: What is the position that can be reached in the greatest number of moves whereby the (checker) position is never repeated?

Nack

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