title: Mathematical knowledge hidden in diagram of Nine-mansions based on Nine-mansions and Eight-winds discourse.
abstract: 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.
  
  
  CONCLUSIONS
  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.
authors.affiliation: School of Medical Instrument & Food Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China. chenzhaoxue@163.com
authors.forename: Zhaoxue
authors.initials: Z
authors.lastname: Chen
mesh_terms: D002681:China; D049690:History, Ancient; D055641:Mathematical Concepts; D008513:Medicine in Literature; D008516:Medicine, Chinese Traditional / Q000266:history*; D013561:Symbolism