Phyllotaxis or the properties of spiral lattices. - II. Packing of circles along logarithmic spirals
Phyllotaxis or the properties of spiral lattices. - II. Packing of circles along logarithmic spirals
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叶序或螺旋晶格的特性。
DOI：
10.1051/jphys:0198900500130160300
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发表时间：
1989
期刊：
影响因子：
--
通讯作者：
A. Koch
中科院分区：
文献类型：
--
作者：
F. Rothen;A. Koch
可以通过对许多植物结构的模型进行螺旋晶格的研究来识别植物（菠萝的内部小花的布置，菠萝的尺度...）。切线电路的晶格沿对数的螺旋形成，我们证明了帕拉斯蒂蒂数属于fibonacci序列，如果«常规， »parastichy跃迁仅发生在晶格中，在无限的奇异转变序列后，差异趋向于贵族数。
Phyllotaxis can be identified with the study of spiral lattices which are useful as models for many botanical structures (arrangements of the inner florets of a daisy, of the scales of a pineapple...). We consider a geometrical idealization of such networks : a lattice of tangent circles aligned along a logarithmic spiral. using conditions for close-packing of such circles, we show that the parastichy numbers belong to a generalized Fibonacci sequence. Moreover, if « regular » parastichy transitions only occur in the lattice, the divergence tends to a noble number. On the contrary a rational number is reached after an infinite sequence of singular transitions.