Construction of Fair Dice Pairs
Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China
Department of Mathematics, Shanghai University, Shanghai 200444, China
Department of Network Technology, South China Institute of Software Engineering, Guangzhou 510990, China
Department of Mathematics, Changzhou Institute of Technology, Changzhou 213022, China
Author to whom correspondence should be addressed.
Received: 8 April 2019 / Revised: 9 May 2019 / Accepted: 13 May 2019 / Published: 17 May 2019
PDF [290 KB, uploaded 17 May 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.
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MDPI and ACS Style
Huang, Y.; Zeng, Z.; Rao, Y.; Zou, Y.; Wang, Y.; Huang, X. Construction of Fair Dice Pairs. Mathematics 2019, 7, 440.
Huang Y, Zeng Z, Rao Y, Zou Y, Wang Y, Huang X. Construction of Fair Dice Pairs. Mathematics. 2019; 7(5):440.
Huang, Yong; Zeng, Zhenbing; Rao, Yongsheng; Zou, Yu; Wang, Ying; Huang, Xing. 2019. "Construction of Fair Dice Pairs." Mathematics 7, no. 5: 440.
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