The Classification of Magic Squares of Order Four

摘要：

It is well known that there are 7040 different magic squares of order four, which have 880 basic forms under the transformation group of order 8.In this paper, we show that there is a transformation group of order 32, under which we can divide the 880 basic forms into 220 classes; furthermore, the magic square with special properties are mainly developed, and the groups of 192 and 384 order are presented. The classification of the special magic squares is also considered.

关键词： classification square matriz magic squares transformation

作者: Dandan Xu Xiusong Gu

作者单位: Institute of Science, PLA University of Science and Technology, Nanjing211101, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 186-188

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）