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著名艺术家达·芬奇反复地将“黄金矩形”、“对数螺线”运用于其为数不多却幅幅经典的画作中,对他而言数学和科学的研究更令他沉迷,他更谦虚地自称为“业余画家”。达·芬奇让我们意识到艺术从来不是一个孤立的领域,艺术家与数学家的工作虽然看起来截然不同,但数学和艺术却是最为接近的,它们不过是使用不同的语言来进行表达。20世纪80年代,曼德尔布罗特集(图1)震撼出世,它的命名源于分形理论开创者、数学家——伯努瓦·曼德尔布罗特(Benoi!Mandelbrot)。曼德尔布罗特集是由函数重复与自身复合即进行迭代运算得出数值的集合,被作为分形的标志性图案用于诠释分形。自相似性是分形最具识别度的特征,即放大或缩小分形图中任意一个局部,其形态结构、粗糙度等均保持和原图的极度相似性(图1,后一幅为前一幅方框内容放大)。分形理论的出现,为诸多学科中的复杂现象提供了更新、更为便
Renowned artist Leonardo da Vinci repeatedly applied “Golden Rectangle” and “Logarithmic Spirals” to one of the few classic works of his class, and his study of mathematics and science made him Addicted, he is more modest claiming to be “amateur painter.” Leonardo da Vinci made us realize that art is never an isolated field. Although the work of artists and mathematicians looks very different, mathematics and art are the closest ones. They are all expressed in different languages. In the 1980s, Mandelbrot set (Figure 1) shockingly born, its name comes from fractal theory pioneer, mathematician - Benoi! Mandelbrot (Benoi! Mandelbrot). The Mandelbrot set is a collection of values that are iteratively repeated by the function itself, which is used as a fractal iconic pattern to interpret the fractal. Self-similarity is the most recognizable feature of the fractal, that is, zoom in or out of any part of the fractal map, its shape and structure, roughness and maintain the original image of the extremely similar (Figure 1, the latter is the previous one Box to enlarge). The appearance of fractal theory provides an update and more convenient for complex phenomena in many disciplines