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November 2018 Hyper Dice Backgammon of Finite Size
Amir M. Rahimi
Missouri J. Math. Sci. 30(2): 132-139 (November 2018). DOI: 10.35834/mjms/1544151690

Abstract

In this note, we extend the notion of standard backgammon to a more general setting and call it hyper dice backgammon (or HD-gammon for short) of size $n \geq 6$ (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 $n = 2k \geq 6$ and there are $4k+3$ checkers for each player. The rules of the game are similar to the rules of standard backgammon when $n = 2k = 6$ and the number of the $n$-sided dice depends on $n$. Finally, we include a list of references related to some theoretical studies on standard backgammon.

Citation

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Amir M. Rahimi. "Hyper Dice Backgammon of Finite Size." Missouri J. Math. Sci. 30 (2) 132 - 139, November 2018. https://doi.org/10.35834/mjms/1544151690

Information

Published: November 2018
First available in Project Euclid: 7 December 2018

zbMATH: 07063849
MathSciNet: MR3884735
Digital Object Identifier: 10.35834/mjms/1544151690

Subjects:
Primary: 90C02
Secondary: 60G02, 68N02, 68T02, 68W02, 91A02

Rights: Copyright © 2018 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.30 • No. 2 • November 2018
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