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.
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.
出处
《数学理论与应用》
2002年第3期19-25,共7页
Mathematical Theory and Applications
关键词
偶数阶超级幻方
子方块
子方块和
方块
半超级幻方
sub -square the sum of sub -square square of squares semi -super magic square
