非素数阶幻方的构造  

The Constructing Method of Magic Square with Non-Prime Order

作　　者：祝宝满[1] 龚和林[1] 

机构地区：[1]上饶师范学院数学与计算机系,江西334001

出　　处：《数学的实践与认识》2008年第15期207-214,共8页Mathematics in Practice and Theory

摘　　要：基于矩阵运算,给出任意双偶数阶和非素数阶幻方的新构造方法:1)由任一低阶m(m为偶数且m≠2)幻方生成一高阶2m阶幻方;2)利用已知的m(m≠2)阶和n(n≠2)阶两个幻方,构造任意的非素数mn阶幻方,加强一些条件后,进一步提出构造两类高级幻方(泛对角线幻方和关联幻方)的新方法.Two elegant methods for constructing magic squares of even order （singly even or doubly even） will be firstly will be introduced. By this method, a lager mount of magic squares with wonderful features can be obtained. Furthermore, we also give a new method of constructing two types of advanced magic squares （pan-magic squares or associative magic squares） with mn-order by one m-order magic square and another n-order magic square, where m≠2,n ≠ 2.

关 键 词：幻方 构造方法 泛对角线幻方 关联幻方 

分 类 号：O157[理学—数学] O157.5[理学—基础数学]