| P2阶拉丁方与P2阶二次、双重和立体幻方 |
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| 引用本文： | 孙群力,郑力源. P2阶拉丁方与P2阶二次、双重和立体幻方[J]. 纺织高校基础科学学报, 2004, 17(4): 334-341 |
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| 作者姓名： | 孙群力 郑力源 |
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| 作者单位： | 1. 犹他大学,生物工程系,美国,盐湖城,UT,84102
2. 俄克拉荷马大学,计算机学院,美国,诺曼,OK,73019 |
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| 摘 要： | 讨论用同一种模式的P^2(P为奇素数)阶正交拉丁方为数理座标，构造P^2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，以实例形式给出了部分构造结果。
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| 关 键 词： | 拉丁方 幻方 二次幻方 双重幻方 立体幻方 构造法 |
| 文章编号： | 1006-8341(2004)04-0334-08 |
| 修稿时间： | 2004-03-24 |
P2-order orthogonal latin squares and P2-order quadratically and doubly-magic squares and magic |
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| SUN Qun-li,ZHENG Li-yuan,.Dept.of Bioengineering,University of Utah Salt Lake City,UT ,UAS,.School of Computer Science,University of Oklahoma Norman,OK ,UAS). P2-order orthogonal latin squares and P2-order quadratically and doubly-magic squares and magic[J]. Basic Sciences Journal of Textile Universities, 2004, 17(4): 334-341 |
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| Authors: | SUN Qun-li ZHENG Li-yuan .Dept.of Bioengineering University of Utah Salt Lake City UT UAS .School of Computer Science University of Oklahoma Norman OK UAS) |
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| Affiliation: | SUN Qun-li~1,ZHENG Li-yuan~2,1.Dept.of Bioengineering,University of Utah Salt Lake City,UT 84112,UAS,2.School of Computer Science,University of Oklahoma Norman,OK 73019,UAS) |
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| Abstract: | 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. |
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| Keywords: | Latin squares magic squares quadratically-magic squares doubly-Magic squares Magic cubes (construction) method |
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