Mathematical knowledge hidden in diagram of Nine-mansions based on Nine-mansions and Eight-winds discourse

ObjectiveTo introduce diagram of Nine-mansions in which another diagram named Xian-Tu is nested together with the mathematical knowledge hidden in them.MethodsExploring 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.ResultsThe golden rectangle and golden spiral were found hidden in the diagrams and they show close relationship with eight-pointed-star veins.ConclusionThe 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.