完美和幻方的定义及其构造方法  

The Definition and Construction of Perfect Sum-magic Square

作　　者：张婧 刘兴祥[1] 施钊 ZHANG Jing;LIU Xingxiang;SHI Zhao(College of Mathematics and Computer Science,Yan’an University,Yan’an 716000,China)

机构地区：[1]延安大学数学与计算机科学学院,陕西延安716000

出　　处：《湖北民族大学学报（自然科学版）》2020年第4期420-423,共4页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金面上项目(11571276/A01);延安大学研究生教育创新计划项目(YCX201832).

摘　　要：根据和幻方的定义及性质给出完美和幻方(完美始元和幻方、完美异元和幻方、完美连元和幻方、完美拉丁和幻方)的定义,并给出了一种构造奇数阶完美始元和幻方的方法,使幻方的知识体系更加完善,也为幻方的应用提供理论依据.According to the definition and properties of sum magic square,this article gives the definitions of perfect sum magic square,perfect initial element sum-magic square,perfect different element sum-magic square,perfect continuous element sum-magic square,perfect Latin sum-magic square,and gives a construction method of odd order initial element perfect sum-magic square,which makes the knowledge of magic square theory more perfect and provides theoretical basis for the application of magic square.

关 键 词：完美和幻方 完美始元和幻方 完美连元和幻方 完美拉丁和幻方 奇数阶幻方 

分 类 号：O151.21[理学—数学]