摘要
本文给出了平方幻方、双料幻方的一种构造方法,英特点是把平方幻方及双料幻方的构造问题转化为构造一对特殊的正交拉丁方的问题(我们称为幻方拉丁方对),这样只要构造出这样一对正交拉丁方来,我们即可很方便地写出相应的平方幻方和双料幻方,同时可以得出同一阶双料幻方有无穷多个(假定存在的话)。
This paper presents a construction method of square magicsquare and twofold magic square,and describes how to change the cons-truction into a pair of magic square Latin squares.As soon as a pair ofmagic square is constructed,the square and twofold magic square can bewritten.Then the number of the same order twofold magic square willbe infinite if it exists.
关键词
幻方
平方幻方
双料幻方
矩阵
magic square
square magic square
twofold magic square
diagonal Latin square
orthogonal diagonal Latin squares
a pair of magic square Latin square
