Construction of Fair Dice Pairs
Yong Hui Huang, Zhenbing Zeng, Yongsheng Rao, Yu Zou, Ying Wang, Xing Huang · Mathematics · 2019
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.