泛系方法论与幻方构造

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。

Pansystems Methodology and Construction of Magic Squares

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.