Fractal Research On The Architecture Of Branch Of Two Conical Plants In The Songnen Plains Of China

Fractal theory, as an active mathematics branch in modern non－linear science, has beenan useful tool to study many nature and society phenomena to deal with lots of naturalgeometry the most irregular shape described in classic Euclidean geometry. The structure ofthe plant is self-similarity as we know. In light of this character of the structure of the plant,the length dimension calculation of the branch was raised, namely, , as to lengthindictor, which was an simple calculation to describe the architecture. Two typical conicalinflorescence plants, Artemisia sieversiana and Amaranthus retroflexus, were study objects,and length dimension was calculated and analyzed, and the fractal degree and ecologicalsignificance as to the number indictor of branch length.The length dimension of the Artemisia sieversiana was 1.3338, and the length dimensionof Amaranthus retroflexu was 1.3428. The length dimension of the Artemisia sieversiana wassmaller than that of Amaranthus retroflexu. The study of Artemisia sieversiana in differentenvironment showed that the No.1 length dimension of the Artemisia sieversiana was notsensitive to the environment disturbance. The length dimension can be an stable reliableindictor in different environment.Allometric analysis of Artemisia sieversiana was conducted in the length of main stemand the number of No.1 branch, and the length of main stem and the total length of No.1branch, and the total length of No.1 branch and the total number of inflorescence, and thelength of main stem and the total number of inflorescence. Allometric growth rate of the mainstem and the number of No.1 branch and the length dimension of No.1 branch were determineand sole.