East Asian mathematical journal

  • 제27권3호
  • /
  • Pages.309-317
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  • 2011
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  • 1226-6973(pISSN)
  • /
  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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SOME PROPERTIES OF MAGIC CUBES

  • 투고 : 2010.09.17
  • 심사 : 2011.04.05
  • 발행 : 2011.05.31
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초록

In this paper we introduce an algorithm to construct an in-finite family of magic cubes and investigate properties of magic cubes, which extend the results in [6].

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과제정보

연구 과제 주관 기관 : Dongeui University

참고문헌

  1. A. Adler, Magic cubes and the 3-adic function, Math. Intelligence 14, No. 3 (1992), 14-23. https://doi.org/10.1007/BF03025865
  2. A. Adler, Magic N-cubes form a free monoid, Electron. J. Combin. 4 (1997), no 1. #R15.
  3. A. Adler and S. -Y. R. Li, Magic N-cubes and Prouhet sequences, Amer. Math. Monthly 84 (1977), 618-627. https://doi.org/10.2307/2321011
  4. W. S. Andrews, Magic squares and cubes, Dover, New York, 1960.
  5. A. T. Benjamin and K. Yasuda, Magic squares indeed, Amer. Math. Monthly 106 (1999), 152-156. https://doi.org/10.2307/2589051
  6. Y. Kim and J. Yoo, An algorithm for constructing magic squares, Discrete Applied Math. 156 (2008), 2804-2809. https://doi.org/10.1016/j.dam.2007.09.029