Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (7): 747-752.

• 论文 • 上一篇    下一篇

PANSYSTEMS METHODOLOGY AND CONSTRUCTION OF MAGIC SQUARES

李粤1, 李立希2, 吴学谋3   

  1. 1. Electronic Engineering Department, Tsinghua University, Beijing 100084, P. R. China;
    2. Computer Science Department, Guangdong University of Technology Guangzhou 510641, P. R. China;
    3. Wuhan Digital Engineering Institute, W uhan 430074, P. R. China
  • 收稿日期:1999-01-28 修回日期:2000-02-23 出版日期:2000-07-18 发布日期:2000-07-18

PANSYSTEMS METHODOLOGY AND CONSTRUCTION OF MAGIC SQUARES

Li Yue1, Li Lixi2, Wu Xuemou3   

  1. 1. Electronic Engineering Department, Tsinghua University, Beijing 100084, P. R. China;
    2. Computer Science Department, Guangdong University of Technology Guangzhou 510641, P. R. China;
    3. Wuhan Digital Engineering Institute, W uhan 430074, P. R. China
  • Received:1999-01-28 Revised:2000-02-23 Online:2000-07-18 Published:2000-07-18

摘要: 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 2m.

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 2m.

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