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Retrograde backgammon puzzle

Posted By: Smcrtorchs
Date: Sunday, 24 February 2013, at 11:20 p.m.

In Response To: Retrograde backgammon puzzle (Timothy Chow)

Nice brain teaser.

While it is possible to claim that a legal backgammon game can include illegal moves according to tournament rules, I will leave this behind.

Do not scroll below, unless you want to see my answer.












































































































































































































































This position is not possible, because blue has 3 checkers in white's home board. This means that blue fanned and entered one checker 2 rolls ago. By doing so blue would sent back a white checker. This is mandatory, because white needs to roll 13 twice to be able to have 2 checkers on blue's 4 point. But for the above scenario to happen, white should have at least 3 checkers inside the board. If blue had 4 checkers inside white's board then this would be a possible position.

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