【摘要】 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.更多还原

【Abstract】 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-south;and it is very easy to find them,that is,Buxus sinica,Jasminum mesnyi,etc.更多还原