用综合法构造6m+3阶完美幻方  

Construct 6m+3 Order Perfect Magic Square with the Synthetic Method

作　　者：徐向东[1] XU Xiangdong(Economy Department,Wulanchabu Vocational College,Wulanchabu 012000,China)

机构地区：[1]乌兰察布职业学院经济管理系,内蒙古乌兰察布012000

出　　处：《延安大学学报（自然科学版）》2021年第3期57-60,共4页Journal of Yan'an University：Natural Science Edition

基　　金：内蒙古自治区教育厅高校创新创业教育科学研究项目(NMSC18082)。

摘　　要：奇数阶完美幻方由于诸多约束条件而构造不易。为了解决这个问题,从行列编码的同步变换方法着手,通过中国象棋马步及炮步走法结合排序法给出综合法,构造出6m+3阶完美幻方,并给出示例。从而解决了奇数阶完美幻方的构造问题。It is difficult to construct perfect magic square of odd order due to many constraints.Aiming to solve the problem,starting from the synchronous transformation of row and column coding,the synthetic method was proposed combining the horse movement and cannon movement in Chinese chess with the sorting method to construct the 6m+3 order perfect magic square,which can construct odd order perfect magic square.

关 键 词：综合法 幻方 完美幻方 正交拉丁方 完美拉丁方 

分 类 号：O151.21[理学—数学]