【摘要】 在对黄金比与黄金现象分析的基础上， 论证了黄金自相似性（ 黄金分形特征） 的自然普适性． 笔者建立的分形比（ 含黄金比） 是一种奇异吸引子． 与倍周期分叉类似， 分形比揭示了自然界临界黄金准周期结构的演化规律， 即系统在分叉过程中， 分支长度与分支周长的分形比趋于黄金比， 而这正是Ｌ 系统未能解决的分形生长难题． 笔者还发现： 特定的分形比有对应的具普适意义的分维数更多还原

【Abstract】 Based on the analysis of the golden rate and golden phenomenon,the paper proves that the golden self?similarity(golden fractal characteristic)is universality in nature.Fractal proportion (including golden rate)established by the author is a kind of strange attractors,and analogy to the period?doudling branch.Fractal proportion reveals the evolution law in nature of the texture of critical golden paraperiod,namely,fractal proprtion of the branch length and branch perimeter in the branch process of trends twoards the golden rate.It is just fractal growth trouble that has not been solved by the L System.更多还原