Mathematics and Beauty: A Sampling of Spirals and ‘Strange’ Spirals in Science, Nature and Art
Mathematics and Beauty: A Sampling of Spirals and ‘Strange’ Spirals in Science, Nature and Art
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数学与美：科学、自然和艺术中的螺旋和“奇怪”螺旋的样本
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
C. Pickover
中科院分区：
文献类型：
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作者：
C. Pickover
具有图形的计算机可以用来产生复杂的物理和数学结构和现象的视觉表示。本文介绍了螺旋几何在数学、自然、物理、文明和艺术方面的概况，重点介绍了作者创造的新颖的螺旋形状。给出了传统和非传统螺旋的“配方”。计算机生成的图案在艺术和数学上都很有趣，它们揭示了一种视觉上引人注目和复杂的螺旋，其生成算法从电子电路方程到随机分段方法不等。
Computers with graphics can be used to produce visual representations of complicated physical and mathematical structures and phenomena. This paper presents an overview of spiral geometry in mathematics, nature, physics, civilization and art, with an emphasis on novel spiral forms created by the author. ‘Recipes’ for both traditional and nontraditional spirals are given. The computer-generated patterns are of interest artistically and mathematically, and they reveal a visually striking and intricate class of spirals whose generating algorithms range from electronic circuit equations to random segment methods.