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Pansystems methodology and construction of magic squares

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Abstract

Some patterns of refined epitomes of pansystems methodology were revealed roles and the related of them in problem-solving , modeling, algorithm-generating and theory-constructing were introduced. An important application of pansystems methodology is to give some methods of constructing the typical pansymmetries-magic squares. 1 . a method of recursively constructing magic squares of order n ( n ⩾ 5) ; 2. when magic squares of order m ( m ⩾ 3) and magic squares of order n ( n ⩾ 3) are given a formula of obtaining magic squares of order mn ; 3. when magic squares of order m ( m ⩾ 3) are given, a method of obtaining magic squares of order 2 m .

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References

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Author information

Authors and Affiliations

  1. Electronic Engineering Department, Tsinghua University, 100084, Beijing, P R China

    Li Yue

  2. Computer Science Department, Guangdong University of Technology, 510641, Guangzhou, P R China

    Li Lixi

  3. Wuhan Digital Engineering Institute, 430074, Wuhan, P R China

    Wu Xuemo

Authors
  1. Li Yue
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  2. Li Lixi
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  3. Wu Xuemo
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Additional information

CLC number: 0150.5

Document code: A

Paper from Wu Xuemou, Member of Editorial Committee, AMM

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Yue, L., Lixi, L. & Xuemo, W. Pansystems methodology and construction of magic squares. Appl Math Mech 21, 747–752 (2000). https://doi.org/10.1007/BF02428371

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  • DOI: https://doi.org/10.1007/BF02428371

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