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Mathematical knowledge hidden in diagram of Nine-mansions based on Nine-mansions and Eight-winds discourse
1School of Medical Instrument & Food Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China. chenzhaoxue@163.com
Objective:
To introduce diagram of Nine-mansions in which another diagram named Xian-Tu is nested together with the mathematical knowledge hidden in them.
Methods:
Exploring with algebraic method the diagram of Nine-mansions and diagram of Xian-Tu nested in it and comparing the diagrams with the eight-pointed-star veins. It widely exists in the Neolithic Age's antiques found in China.
Results:
The golden rectangle and golden spiral were found hidden in the diagrams and they show close relationship with eight-pointed-star veins.
Conclusion:
The mathematical knowledge does exists in the diagram of Nine-mansions and Xian-Tu, which may mean something for Traditional Chinese Medicine (TCM) for its discourse on Nine-mansions and Eight-winds obviously employed the diagram of Nine-mansions for its medical purpose.
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