Phyllotactic patterns on plants.
Phyllotactic patterns on plants.
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DOI：
10.1103/physrevlett.92.168102
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发表时间：
2004-04
影响因子：
8.6
通讯作者：
Patrick D. Shipman;A. Newell
中科院分区：
文献类型：
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作者：
Patrick D. Shipman;A. Newell
我们演示了如何phyllotaxis（植物叶片的安排）和植物表面上看到的变形配置可以理解为能量最小化屈曲模式的压缩壳（植物的图尼卡）的弹性基础。关键的新思想是，应变能最小化的配置组成的特殊三元组的几乎周期性的变形。我们再现了广泛的植物模式，所有的发散角在自然界中观察到的，并显示如何斐波那契序列和黄金角的发生是自然的后果。
We demonstrate how phyllotaxis (the arrangement of leaves on plants) and the deformation configurations seen on plant surfaces may be understood as the energy-minimizing buckling pattern of a compressed shell (the plant's tunica) on an elastic foundation. The key new idea is that the strain energy is minimized by configurations consisting of special triads of almost periodic deformations. We reproduce a wide spectrum of plant patterns, all with the divergence angles observed in nature, and show how the occurrences of Fibonacci-like sequences and the golden angle are natural consequences.