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从幻方到幻曲面
引用本文:齐东旭.从幻方到幻曲面[J].北方工业大学学报,1992,4(3):1-8.
作者姓名:齐东旭
作者单位:北方工业大学CAD研究中心
摘    要:引入矩阵的两种乘法运算,可构造出高于任意阶数的幻方;将幻方与伯恩斯坦逼近联系起来,发现了幻曲面;特别研究了具有自相似结构的幻曲面,从而揭示了一类新的分形。

关 键 词:幻方  矩阵  逼近  分形  幻曲面

FROM MAGIC SQUARES TO MAGIC SURFACES
Qi Dongxu.FROM MAGIC SQUARES TO MAGIC SURFACES[J].Journal of North China University of Technology,1992,4(3):1-8.
Authors:Qi Dongxu
Affiliation:CAD Research Center
Abstract:Two kinds of products for matrix are introduced in this paper. By using the products, the magic squares whose orders are higher than a given number can be constructed. The relation between magic squares and Bernstein approximation is pointed out, and the so-called magic surfaces are found. Especially, the magic surfaces with properties of self-similarity are investigated and a new class of fractal is announced.
Keywords:magic squares  matrices  approximation  surface fitting  fractal
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