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.