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构造奇数阶幻方完美幻方和对称完美幻方的新方法
引用本文:詹森,王辉丰.构造奇数阶幻方完美幻方和对称完美幻方的新方法[J].海南师范大学学报(自然科学版),2011,24(3).
作者姓名:詹森  王辉丰
作者单位:1. 广东技术师范学院计算机科学系,广东广州,510665
2. 海南师范大学数学与统计学院,海南海口,571158
摘    要:给出构造奇数阶幻方、完美幻方和对称完美幻方的新方法及其证明.这些方法可分别得到((n-1)!)2、((n-1)!)2和2m(2m-1)((m-1)!)2个不同的奇数n阶幻方、完美幻方和对称完美幻方.

关 键 词:幻方  完美幻方  对称完美幻方  

The New Structure Methods to Construct Odd Order Magic Square Perfect Magic Square and Symmetrical Perfect Magic Square
ZHAN Sen,WANG Huifeng.The New Structure Methods to Construct Odd Order Magic Square Perfect Magic Square and Symmetrical Perfect Magic Square[J].Journal of Hainan Normal University:Natural Science,2011,24(3).
Authors:ZHAN Sen  WANG Huifeng
Institution:ZHAN Sen1,WANG Huifeng2(1.Department of Computer Science,Guangdong Technical Normal University,Guangdong 510665,China,2.College of Mathematics and Statistics,Hainan Normal University,Haikou 571158,China)
Abstract:The new structure methods and their theoretical proof to construct odd n order magic square,perfect magic square and symmetrical perfect magic square were qiven.By using these methods,n-1!2],n-1!2]and2m2m-1m-1!2] of different magic squares of order n;perfect magic squares,symmetrical perfect magic squares severally can be obtained.
Keywords:magic square  perfect magic square  symmetrical perfect magic square  
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