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数学家发现一种新形状

2024-09-23 04:17 by 索拉里斯星

数学家描述了一种新的形状,这种形状在自然界中很常见ーー从鹦鹉螺标志性的螺旋壳的腔室,到种子长成植物的方式。这项工作考虑了“密铺”这一数学概念:形状如何在表面上镶嵌。自古以来,用相同的图形填充平面的问题已经得到了充分探索,以至于人们很容易认为已经没有什么可发现的了。但是研究人员用一组新的具有圆角的几何图形推导出了密铺的原则,他们将其称为“软细胞(soft cells)”。研究人员在自然界中发现了软密铺,包括辫状河流中岛屿的二维形状、洋葱同心层的横截面和组织的生物细胞,以及鹦鹉螺等软体动物的螺旋壳的三维腔室。他们认为,大自然通常寻求避开角落,因为这样的拐角的变形能量成本很高,可能是结构弱点的来源。

https://www.nature.com/articles/d41586-024-03099-6
https://news.sciencenet.cn/htmlnews/2024/9/530327.shtm

#数学



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数学家发现一种新形状

2024-09-23 04:17 by 索拉里斯星

数学家描述了一种新的形状,这种形状在自然界中很常见ーー从鹦鹉螺标志性的螺旋壳的腔室,到种子长成植物的方式。这项工作考虑了“密铺”这一数学概念:形状如何在表面上镶嵌。自古以来,用相同的图形填充平面的问题已经得到了充分探索,以至于人们很容易认为已经没有什么可发现的了。但是研究人员用一组新的具有圆角的几何图形推导出了密铺的原则,他们将其称为“软细胞(soft cells)”。研究人员在自然界中发现了软密铺,包括辫状河流中岛屿的二维形状、洋葱同心层的横截面和组织的生物细胞,以及鹦鹉螺等软体动物的螺旋壳的三维腔室。他们认为,大自然通常寻求避开角落,因为这样的拐角的变形能量成本很高,可能是结构弱点的来源。

https://www.nature.com/articles/d41586-024-03099-6
https://news.sciencenet.cn/htmlnews/2024/9/530327.shtm

#数学

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