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|Paper IPM / M / 15395||
In this note we extend the notion of the standard backgammon to a more
general setting and call it hyper dice backgammon (or HD-gammon for short) of size
n 6 (a positive even integer) by extending the regular die to a hyper die (i.e., hyper
cube) with n faces and the board from 24 pips to 4n pips, where n = 2k 6 with number
of checkers for each player is 4k+3. The rules of the game are similar to the rules of the
standard backgammon when n = 2k = 6 and number of the n-sided dice depends on n.
We also, in the end, write a selected list of references related to some theoretical studies
on the standard backgammon.
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