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偶阶同心幻方的简明快速构造
引用本文:何超,何建勋. 偶阶同心幻方的简明快速构造[J]. 华中科技大学学报(自然科学版), 1992, 0(4)
作者姓名:何超  何建勋
作者单位:武汉广播电视大学(何超),武汉广播电视大学(何建勋)
摘    要:1 几个基本概念1.1 幻方与幻阵.幻方是由1到n~2个连续的自然数构成的有特殊性质的方阵.幻阵是由n~2个互异的非完全连续的可以不包含1的自然数构成的方阵,具有幻方的基本性质,其构造难度通常小于“幻方”,因为对元素的约束条件放宽了.1.2 配对数.在自然数列1,2,…,n~2(n为≥2的偶数)中,其第i项a_i和倒数第i项a_(n~2-i+1)之和a_i+a_(n~2-i+1)≡n~2+1称项a_i和项a_(n~2-i+1)互为配对数,记作


A Terse and Fast Constituting Method for Concentric Magic Square of Even Order
He Chao He Jianxun. A Terse and Fast Constituting Method for Concentric Magic Square of Even Order[J]. JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE, 1992, 0(4)
Authors:He Chao He Jianxun
Affiliation:He Chao He Jianxun
Abstract:The Concentric Magic Square is a new magic square developed by the authors. It possesses not only the basic property of the magic square, but also the concentricity, removability and growability as well as symmetry which, for space reasons, will be discussed elsewhere. The constituting mathod for the concentric magic square of odd order was reported in 1984. The constituting method for concentric magic square of any even order larger than two is described. A proof of its convenience and speed is given.
Keywords:magic square  magic matrix  concentric magic square  core  the square frame around a core  single even order  double even order
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