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双偶阶嵌套幻方的构造
引用本文:龚和林,舒情.双偶阶嵌套幻方的构造[J].海南师院学报,2012(2):137-141.
作者姓名:龚和林  舒情
作者单位:上饶师范学院数学与计算机科学学院,江西上饶334001
基金项目:江西省教育厅科技项目青年基金项目(GJJ102S6);上饶师范学院院级课题(201102)
摘    要:嵌套幻方也称亲子幻方,它指阶数较大的幻方(“双亲幻方”)含有阶数较小的幻方(“子女幻方”),文章给出多种构造任意双偶阶(≡0 mod 4)亲子幻方的构造方法,该方法用m(偶数)阶幻方生成2m阶亲子幻方,且使子女幻方幻和等于双亲幻方幻和的一半.

关 键 词:亲子幻方  构造方法  双偶阶

The Constructing Methods of Nested Magic Square of Doubly Even Order
GONG Helin,SHU Qing.The Constructing Methods of Nested Magic Square of Doubly Even Order[J].Journal of Hainan Normal University(Humanities and Social Sciences),2012(2):137-141.
Authors:GONG Helin  SHU Qing
Institution:(School of Mathematics and Computer Science, Shangrao Normal University, Shangrao 334001, China)
Abstract:A nested magic square is also called the parent-child magic quare containing one or more magic squares of smaller order. In this paper, several methods for constructing parent-child magic squares of doubly even order were introduced. By this method, by means of a magic square of order m, many parent-child magic squares of 2m order containing four child magic squares were obtained, whose magic square constant is equal to half of that of its parent magic square.
Keywords:magic square  constructing method  doubly even
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