After centuries of silence,image-numerology has risen due to political factors,the discovery of new ＂ economies＂ and the discovery of new elements in the Song and Yuan dynasties. Among them,Liu Mu and other scholars made important contributions. For ancient mathematics,the rise of image-numerology has made people more interested in ＂ numbers＂,and mathematics has become a ＂ university question＂ about heaven and earth. Mathematics education has rapidly spread in the people,and image-number logic has formally entered the mathematical thinking mode. Under the influence of social forces,the national calendar requires high precision,frequent changes in history,and the inherent qualities of the Song and Yuan dynasties,the current trend of thought did not enter the digital mysticism,and it brought about the great development of ancient Chinese mathematics.