Sentence:  Whereas the primary meanings of the Lo Shu diagram seemed to have been <WSD>based</WSD> on its inner mathematical properties - and we shall see that even its secondary meanings rested 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:  use as a basis for; found on