科学,技术,建筑中的最小表面

L. Yurenkova, R. A. Maksutova, D.M. Meleshin, M. Ivanov
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引用次数: 0

摘要

本文考虑的是最小表面,两百多年来人们对最小表面的兴趣一直没有减少。最小曲面是平均曲率为零的曲面。最初,肥皂泡和肥皂膜收紧电线轮廓是这种表面的例子。数学家最先注意到这些曲面,其中有举世闻名的名字:拉格朗日、拉普拉斯、泊松、施泰纳、高原。科学家们已经注意到,在物理和化学领域的研究中发现了最小表面的解析表达式,这导致了诺贝尔奖的发现。由于最小表面的不同寻常的特性,新的建筑材料出现在该技术中。
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Minimal surfaces in science, technology, architecture
The article considers minimal surfaces, the interest in which has not decreased for more than two hundred years. The minimum surface is the surface of zero mean curvature. Initially, soap bubbles and soap films tightening wire contours were examples of such surfaces. Mathematicians were the first to pay attention to these surfaces, among which are names known all over the world: Lagrange, Laplace, Poisson, Steiner, Plateau. Scientists have noticed that the analytical expression of minimal surfaces is found in research in the field of physics and chemistry, which led to discoveries awarded the Nobel Prize. Due to the unusual properties of minimal surfaces, new construction materials have appeared in the technique.
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