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。
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.
出处
《北方工业大学学报》
1992年第3期1-8,共8页
Journal of North China University of Technology
基金
国家自然科学基金
关键词
幻方
矩阵
逼近
分形
幻曲面
magic squares, matrices, approximation, surface fitting, fractal
