Rethinking of the Mathematical and Architectural Relation from the Perspective of the Algorithm

So far, many scholars have spoken of mathematical and architectural mergers. Different perspectives in this regard suggest that there are two general approaches paraphrastic and historians in most of these studies. But what has not been said about this aspect is common mental practices in mathematical science and architecture knowledge that affects the work of mathematicians and past architects. Therefore, one can ask the question that «the presence and continuity of mathematics in the past architecture is due to the mental state of the architects?» The approach of the present article is based on the historical interpretation of documentary evidence, which, in the form of past texts and science databases, Investigates a procedure in the relation between the science of «mathematics» and the «architecture», in order to explain the mental structures among the activists of the two domains by examining the mathematical meaning of the past in the sciences on the one hand and the position of architectural knowledge with the predecessors of the other. The results of the research show that a special procedure of mathematics called the «algorithm» can be identified, which has been the cause of the mathematicians of the past, and has led to the birth of «cultural mathematics» in this context.