摘要
依据黄金分割律的研究结果归纳出植物叶序通用模型为F(z)=qz+a.其科学上的意义是:当节间距q≠0时,为互生叶序,逼近0时,则衍生出簇生和基生叶序;叶序发散角z的变化决定叶序分数式1/2,1/3,2/5,…….当节间距q=0,则出现对生叶序,随着叶序发散角z的变小,则衍生出各种轮生叶序的分布式样.依据发散角和模糊综合评判的理论论证了角2π2ω是最优的,植物叶序发散角总是向趋于2πω2的方向演化.
F（z）= qz＋a, a general model of the phyllotaxis was concluded by research results of the golden section. The significance of the plant science is： in the model, when q≠0 the alternate appears. The fasciation and radical phyllotaxis is derived from respectively when q approaches 0. Phyllotaxis fraction, 1/2,1/3,2/5,…… is decided respectively by the variation of the divergence angle. When q=0, the opposite appears. All kinds of whorled phyllotaxis are derived by the decrease of tile divergence angle of the phyllotaxis. The divergence angle 2πω^2 is the best one according to the analytical results of the divergence angle and the theory of fuzzy synthetic evaluation. The phyllotaxis divergence angle of plants has evolved always to the 2πω^2.
出处
《中国计量学院学报》
2008年第3期206-212,共7页
Journal of China Jiliang University
关键词
模型
发散角
模糊综合评判
植物叶序
model
divergence angle
fuzzy synthetic evaluation
plant
phyllotaxis
