植物叶序的几何计量分析

An analysis of geometry metrology on the phyllotaxis of plants

采用差分方程理论和互生植物叶序分数序列的极限2ω导出植物对生叶序序列和叶序分数.首次建立了植物对生叶序分数序列极限对应的角为πω2,求出具有生物学意义的植物对生叶序几何计量序列为1/2,1/6,2/8,3/14,…….依据该序列对杭州植物园的对生叶序植物种类进行分析,结果表明:常见的对生叶序植物中,属于1/2式的植物种类较为常见,特征是叶片呈上下平行着生的方式;属1/6式的植物较少见,叶片呈东南-西北、东北-西南向着生;属2/8式的植物最为常见,叶片呈正东西、南北向着生.

Based on the theory of difference equation and the limit ω^2 of phyllotaxis modeling at alternate plants, a modeling of the opposite phyllotaxis is inferred. It presents a novel hypothesis that the limit angle of the opposite phyllotaxis in plants is a πω^2 by the theory of analogy at first time. According to the πω^2 and the theory of difference equation, it gets that a geometry modeling group on the signification of biology about the opposite phyllotaxis of plants should be 1/2, 1/6, 2/8, 3/14, …… . Using the modeling group to analyse the forms of phyllotaxis at the opposite plants, the results indicate that form 1/2 of the leaf number is a form toward the parallel up-down and it is easy to find plants in common such as Lagerstroemia limii, L. indica, etc. The form 1/6 of the leaf number is towards the south-east ＋ north-west and north-east ＋ south-west, e. g. , Vinca majos, V. majos cv. ＇Variegata＇ etc. and it is not easy to find them. Then the form 2/8 of the leaf number is towards the west-east ＋ north-southt and it is very easy to find them, that is, Buxus sinica, Jasminum mesnyi , etc.