Sentence:  Whereas the primary meanings of the Lo Shu diagram seemed to have been based on its inner mathematical properties - and we shall see that even its secondary meanings <WSD>rested</WSD> on some mathematical bases - the urgent desire to place everything into categories of fives led to other groupings based on other numbers , until an exaggerated emphasis on mere numerology pervaded Chinese thought . 
Meaning of the word marked with <WSD> tags:  be based on; of theories and claims, for example