| 偶数阶超级幻方 |
| |
| 引用本文： | 欧阳录.偶数阶超级幻方[J].数学理论与应用,2002,22(3):19-25. |
| |
| 作者姓名： | 欧阳录 |
| |
| 作者单位： | 湖南师范大学继续教育学院 长沙 410012 |
| |
| 摘 要： | 一个n2阶的幻方,如果它的行和、列和、斜和及n×n子方块和都相同,称之为超级幻方,如果对全部n×n子方块要求不满足,但有一部分满足要求,便称为半超级幻方,本文证明了:若n=4k,则存在n2阶超级幻方,若n=4k+2,则存在n2阶半超级幻方.
|
| 关 键 词： | 偶数阶超级幻方 子方块 子方块和 方块 半超级幻方 |
ON THE SUPER MAGIC SQUARES OF EVEN ORDER |
| |
| Quyang Lu.ON THE SUPER MAGIC SQUARES OF EVEN ORDER[J].Mathematical Theory and Applications,2002,22(3):19-25. |
| |
| Authors: | Quyang Lu |
| |
| Abstract: | If a magic square of order n2 passesses the same row sums, column sums , obligue sums and the sums of sub-squares of order n,it is called a super magic square. If not all. but a partial sub-squares of order n possess the same sum,then it is called a semi-sqper magic sguare. This paper has proved these facts; If n = 4k,the super magic square of order n2 exists. If n = 4k + 2, the semi-super magic sguare of order n2 exists. |
| |
| Keywords: | sub -square the sum of sub -square square of squares semi -super magic square |
| 本文献已被 CNKI 等数据库收录！ |
|
