The golden ratio and Loshu-Fibonacci Diagram: Novel research view on relationship of Chinese medicine and modern biology

Abstract

Associating geometric arrangements of 9 Loshu numbers modulo 5, investigating property of golden rectangles and characteristics of Fibonacci sequence modulo 10 as well as the two subsequences of its modular sequence by modulo 5, the Loshu-Fibonacci Diagram is created based on strict logical deduction in this paper, which can disclose inherent relationship among Taiji sign, Loshu and Fibonacci sequence modulo 10 perfectly and unite such key ideas of holism, symmetry, holographic thought and yin-yang balance pursuit from Chinese medicine as a whole. Based on further analysis and reasoning, the authors discover that taking the golden ratio and Loshu-Fibonacci Diagram as a link, there is profound and universal association existing between researches of Chinese medicine and modern biology.

Study on the Mathematical Relationship between the Fibonacci Sequence and Luoshu

“…In this study, the related geometric and algebraic properties of the Fibonacci sequence as well as its modular sequence by 10 can have profound mathematical relationship with the numeric order and spatial distribution of the Luoshu numbers. In [3] the author have also established association between the Luoshu structure and the key sequence derived by the Fibonacci sequence modulo 10 and produced a graph structure named the Luoshu-Fibonacci diagram, in which the Luoshu number distribution is also directly included. In [9], the author has also introduced a novel graph named the diagram of Nine-mansions and Xian-Tu, which associates the 3 by 3 grid structure of the Luoshu with the golden spiral, the golden rectangle as well as the Xiantu.…”

“…Exploration, research and analysis of the relationship between Luoshu and Fibonacci sequence based on modern mathematical principles has great significance and values for deeper understanding of the Jiugong bafeng theory in TCM. The author has found the Luoshu and the modular Fibonacci series by 10 are closely related in mathematics based on analysis of Luoshu number distribution and also puts forward the Luo-Fibonacci diagram structure to express their profound internal relations in an issued paper [3]. And further in this paper based on analysis of mathematical relations among the Fibonacci sequence, the Fibonacci rectangle and golden rectangle, according to geometric properties of the golden rectangle as well as numeric distribution rules implied in Luoshu, relationship between the Fibonacci sequence including its modular series by 10 and Luoshu is studied, and inherent and consistent mathematical relationship between them is found in spatial orientation,digital running sequence,numeric grouping & generating rules, etc.…”