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Paper   IPM / M / 15395
School of Mathematics
  Title:   Hyper dice backgammon of finite size
  Author(s):  Amir Masoud Rahimi
  Status:   To Appear
  Journal: Missouri J. Math. Sci.
  Supported by:  IPM
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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