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16阶二次幻方的膨胀构造法
引用本文:徐向东.16阶二次幻方的膨胀构造法[J].数学的实践与认识,2021(5):278-284.
作者姓名:徐向东
作者单位:乌兰察布职业学院
摘    要:2017年詹森构造了6个异基因的8阶二次幻方兼完美幻方,根据它们的特殊性质,创立用一个4阶矩阵代替原有元素的膨胀法,构造出16阶二次幻方兼完美幻方;并对另外2个具有相似性质的8阶二次幻方,也通过膨胀法构造出了16阶二次幻方.

关 键 词:二次幻方  膨胀构造法  二次幻方兼完美幻方

Expansion Construction Methods of 16 Order Bimagic Square
XU Xiang-dong.Expansion Construction Methods of 16 Order Bimagic Square[J].Mathematics in Practice and Theory,2021(5):278-284.
Authors:XU Xiang-dong
Institution:(Wulanchabu Vocational College,Wulanchabu 012000,China)
Abstract:In 2017,Jason constructed the 8-order quadratic and perfect magic square of six different genes.According to their special properties,this paper created a expansion method to replace the original elements with a 4-order matrix to construct the 16 order quadratic and perfect magic square.For the other two 8-order quadratic magic squares with similar properties,the expansion method was also used to construct the 16-order bimagic square.
Keywords:bimagic square  expansion method  quadratic and perfect magic square
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