复数幻方的构造

Making the Complex Magic Square

1988年,李立提出并构造了4n阶全对称幻方,本文以4阶最完美幻方为基础,利用16次复数单位根的对数替换4阶最完美幻方中的自然数,且构造新的复数方阵,并证明是复数意义上的非正规最完美幻方.然后进一步推广给出构造任意n阶复数幻方的方法.

In 1988,Mr Li Li,put forward to and constructed the 4 nth order all-symmetric magic square.In this paper,based on the 4 th order perfect magic square is replaced by the logarithm of the 16 th order complex number unit root,and a new complex square matrix is constructed,which is proved the perfect informal magic square in the plural sense.Furthermore,the method of constructing arbitrarily n-order complex magic square is extended.