Forum Archive :
Puzzles
Cube ownership determines correct play

Bill Taylor wrote:
> This topic came up just recently as a subthread about the cube; it was
> one I'd been meaning to inquire about for some time. Various people said
> there were plenty of examples, but noone has actually posted one!
> At least I didn't see any. So could someone please put their money where
> someone else's mouth is, and give an example.
>
> That is: an example of a position and roll, where the roll would be
> better played two different ways, depending on which side the cube's on.
>
> I would hope for as clearcut an example as possible; preferably an
> endgame example, where the various expectations could be calculated
> exactly. But even if that isn't possible, then at least an example for
> which there would be very little difference of opinion among good
> players.
Sure enough. Here's a simple example. Suppose you have a closed board
with spares on your 3, 7, and 8 points, and you opponent has one checker
on the bar and his other 14 checkers deep in his home board someplace.
You have chosen to play on for the gammon (and why not, since nothing bad
can happen next roll and if you roll an awkward number you can then
reconsider and cash if you think it proper to do so). Now you roll 55.
If you own the cube your proper play is 8/3, 7/2, 5/off(2). The reason
is that you are planning on doubling next turn, so you want to minimize
the effect of your opponent's best roll now! If you play "safe" by
moving two men from the 6 point and he rolls boxes, suddenly he has a
fighting chance in the race and can take a double. It doesn't matter
that by taking two men off you are risking leaving a shot next turn
because of the gap, because that shot will never come  you will turn
the cube before you roll, and your opponent will be forced to pass.
However if he already owns the cube, then your proper play is 8/3, 7/2,
6/1(2). Now you will have to worry about leaving the shot next roll, and
the danger of that is greater than the danger of losing the race
outright. There are other possible examples, some much more complex, but
this one should be pretty clear.
Kit




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