| 一类偶数(2n)阶幻方的基底构造法 |
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| 引用本文： | 朱允山 朱明书. 一类偶数(2n)阶幻方的基底构造法[J]. 河南师范大学学报(自然科学版), 1991, 0(1): 75-80 |
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| 作者姓名： | 朱允山 朱明书 |
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| 作者单位： | 中国科技大学,江苏常州市轻工业职工大学 |
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| 摘 要： | 本文给出一类“对称形”偶数(2n)阶幻方的基底构造法。
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| 关 键 词： | 偶数(2n)阶幻方基底 |
CONSTRUCTION OF EVEN-ORDER MAGIC SQUARE |
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| Zhu-Yunshan. CONSTRUCTION OF EVEN-ORDER MAGIC SQUARE[J]. Journal of Henan Normal University(Natural Science), 1991, 0(1): 75-80 |
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| Authors: | Zhu-Yunshan |
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| Abstract: | We have already known the way to construct odd-order magic squance, and in this paper, we present a general and simple method of construction of even-order magic square by introducing a new concept—"base of magic square", and prove the feasibility of this method by giving the following definitiion and theorems. Definitiom an nxn matrix is called "base of n-order magic square" if Ⅰ) the n~2 elements of the matrix are ±0, ±1, ±2,…±((n/2)~2-1), respectively. Ⅱ) for every line, every row and every diagonal, the sum of elements is zero. Theorem 1 Using number 1,2,3,…, 16N~2, a 4N order magic square can be constructed by the method of base construction. Thorem 2 Using number 1,2,3,…,(4N+2)~2, a (4N+2) order magic square can be constructed by the method of base construction. |
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| Keywords: | Magic Square Base of Magic Square |
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