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 pansymmetric-magic squares: 1. a method of recursively constructing magic squares of order n ( n greater than or equal to 5) ; 2. when magic squares of order m( m greater than or equal to 3) and magic squares of order n ( n greater than or equal to 3) are given of formula of obtaining magic squares of order nm; 3. when magic squares of order m ( m greater than or equal to 3) are given, a method of obtaining magic squares of order 2m.