Construction of Fair Dice Pairs

Construction of Fair Dice Pairs

An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier Transformation, we present all the 2000 fair dice pairs and their 8 equivalence classes in a four-pe...

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Bibliographic Details
Main Authors: Yong Huang, Zhenbing Zeng, Yongsheng Rao, Yu Zou, Ying Wang, Xing Huang
Format: Article
Language:English
Published: MDPI AG 2019-05-01
Series:Mathematics
Subjects:
fair dice pairs
discrete Fourier transformation
discrete convolution
Online Access:https://www.mdpi.com/2227-7390/7/5/440
Description
Summary:An interesting and challenging problem in mathematics is how to construct fair dice pairs. In this paper, by means of decomposing polynomials in a residue class ring and applying the Discrete Fourier Transformation, we present all the 2000 fair dice pairs and their 8 equivalence classes in a four-person game, identifying what we call the mandarin duck property of fair dice pairs.
ISSN:2227-7390

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