National Synchrotron Light Source II, Brookhaven National Laboratory, Upton, NY, 11973, USA.
Ward Melville High School, Setauket-East Setauket, NY, 11733, USA.
Sci Rep. 2023 May 15;13(1):7820. doi: 10.1038/s41598-023-34880-8.
The vein pattern in insect wings allows this lightweight structure to carry multiple biological functions. Here, an investigation of the angular distribution of the vein struts in dragonfly wings revealed that the golden angle or golden ratio dominates the venation patterns. We find that the golden angle dominates the intervein angles in regions where thin veins and membranes demand strength reinforcement. A golden ratio partition method has thus been developed that explains a set of preferred intervein angles in distorted polygon-shaped venation cells throughout the venation pattern in dragonfly wings. These observations provide new evidence that the wing structure is spatially optimized, by the golden rule in nature, for supporting biomechanical functions of dragonfly wings.
昆虫翅膀的脉序模式使这种轻量级结构能够承载多种生物学功能。在这里，对蜻蜓翅膀中脉干的角分布的研究表明，黄金角或黄金比主导着脉序模式。我们发现，在需要加强强度的薄脉和膜的区域，黄金角主导着脉间角。因此，已经开发出一种黄金比例划分方法，该方法解释了在蜻蜓翅膀的整个脉序中变形的多边形脉序细胞中的一组优选的脉间角。这些观察结果提供了新的证据，表明机翼结构通过自然界中的黄金法则在空间上得到了优化，以支持蜻蜓翅膀的生物力学功能。
