红枫分形维数中的物理机制

Physical Mechanism of Fractal Dimensionality of Red Maple

采用Matlab程序计算与实验测量相结合的方法,以重庆理工大学校园内随机选取的3棵红枫为研究对象,分别测量并计算了植物整体和部分的三维空间分形维度,得出该种植物分形维度与阳光等物理因素之间的关系,以及植物生长过程中的维度变化规律。研究结果表明:植物的维度大小与其生长的物理环境具有逻辑关系。这些关系有助于深入研究高等植物的生长规律,进而为人工裁剪和控制的自然原理提供理论支持。

Combining experimental measurement and the calculation of Matlab code,the physical fac-tors of plant growth have been analyzed through fractal dimensionality data.Three red maples were se-lected randomly and measured.The space coordinates of the branches were recorded and loaded into computer.The fractal dimensionalities were calculated and analyzed with Matlab code through box-counting method.We find the relevance between the sunlight and the fractal dimensionalities.The law of the dimensionality changing of the plant has also been studied.The results indicate that there is an inevitable logical relationship between physical environment and dimensionality of the plant.The relationship will assist the investigation of plant growth rhythm.Furthermore,it will benefit to the nat-ural principle of artificial clip.