P^2阶拉丁方与P^2阶二次、双重和立体幻方  

P^2-order orthogonal latin squares and P^2-orderquadratically and doubly-magic squares and magic

作　　者：孙群力[1] 郑力源[2] 

机构地区：[1]犹他大学生物工程系,美国盐湖城ut84102 [2]俄克拉荷马大学计算机学院,美国诺曼ok73019

出　　处：《纺织高校基础科学学报》2004年第4期334-341,共8页Basic Sciences Journal of Textile Universities

摘　　要：讨论用同一种模式的 P2 (P为奇素数 )阶正交拉丁方为数理座标 ,构造 P2 阶二次、双重和立体三种不同幻方的方法 .用该方法构造出了当 P =3,5时的二次、双重幻方及 P =3时的立体幻方 .A P^2-order (P is odd prime) orthogonal Latin squares was employed as a constructor for building three different types of magic squares:quadratically and doubly-magic squares,and magic cubes.The (quadratically) (and) doubly-magic squares (P=3,5) and the magic cubes (P=3) were constructed to (lillustrate) the method.Some examples were given in this paper.

关 键 词：拉丁方 幻方 二次幻方 双重幻方 立体幻方 构造法 

分 类 号：O157.4[理学—数学]