泛系方法论与幻方构造

Pansystems Methodology and Construction of Magic Squares

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, Wuhan 430074, P R China

摘要: 论述了泛系方法论的精缩影模式及其对求解、建模、算法生成与理论建构的作用,同时用泛系方法提出并证明了:1递归构造n阶幻方(n≥5)的方法;2已知m阶幻方和n阶幻方(m,n≥3),求mn阶幻方的公式;3已知m阶幻方(m≥3),构造2m阶幻方的方法。
- 泛系方法论 /
- 幻方 /
- 递归
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(n⑥≥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.
- pansystems methodology /
- magic square /
- recursion

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