正交半泛对角线拉丁方与泛对角线幻方  

Orthogonal Semi pandiagonal Latin Squares and Pandiagonal Magic Squares

作　　者：张世德[1,2] 张聪敏 

机构地区：[1]河南师范大学数学系 [2]广东省南海市建筑工程公司

出　　处：《河南师范大学学报（自然科学版）》1997年第4期1-8,共8页Journal of Henan Normal University(Natural Science Edition)

基　　金：河南省科委自然科学基金

摘　　要：本文以文［３］中等和性半泛对角线拉丁方为工具，证明４ｍ阶偏差分对称方阵的数集可构成４ｍ阶泛对角线幻方，而相邻自然数集１，２，…，（４ｍ）２仅是构成偏差分对称方阵数集的特例，从而本文连同文［３，４］完成了泛对角线幻方存在时，构成数集的拓广工作．This paper uses the semi pandiagonal Latin squares with the same sum property, showes that the number set of matrix with symetric partial difference in each direction of order 4m could construct pandiagonal magic squares of order 4m. Number sets satisfying this condition are not rare.The number set 1, 2, …, n 2 is only their special case. When the pandiagonal magic squares exist, this paper, together with the papers , has finished extension work of number set consisting magic squares.

关 键 词：等和性 泛对角线拉丁方 泛对角线幻方 幻方 

分 类 号：O157.2[理学—数学]