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Construction of Fair Dice Pairs

Author

Listed:
  • Yong Huang

    (Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China
    School of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China)

  • Zhenbing Zeng

    (Department of Mathematics, Shanghai University, Shanghai 200444, China)

  • Yongsheng Rao

    (Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China)

  • Yu Zou

    (Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China)

  • Ying Wang

    (Department of Network Technology, South China Institute of Software Engineering, Guangzhou 510990, China)

  • Xing Huang

    (Department of Mathematics, Changzhou Institute of Technology, Changzhou 213022, China)

Abstract

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.

Suggested Citation

  • Yong Huang & Zhenbing Zeng & Yongsheng Rao & Yu Zou & Ying Wang & Xing Huang, 2019. "Construction of Fair Dice Pairs," Mathematics, MDPI, vol. 7(5), pages 1-13, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:440-:d:232225
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