Retrieving the Hidden Geometric Secret in the design of the Naghsh-e- Jahan Square based on Congruent Rotated Squares

One of the most famous historical squares of Iran is the Naghsh-e Jahan Complex, of which many studies have been done about its features and its effects on the urban space of Isfahan. The measurement of the geometric system governing the physical structure of this complex is considered an important part, of which no comprehensive research has ever been conducted. Accordingly, this study, aiming at analyzing the impact of the geometric organization and its order on the structure of the Square, and in particular on the location of its multiple accesses, seeks to evaluate this topic by using the relative measuring system based on the geometric rules as a process for the regularization of the space. The relative measurement system is one of the first ones, resulting in the application of geometry to the physical structure of the city and architecture. Its valuable benefits can be the application of dimensions and sizes with the identified coefficients in the cited plan. The present study is classified in the category of historical research, and descriptive and exploratory methods have been used in the historical research. Also, research on library data has provided the basis for analyzing the geometric structure of the Square and its dependent buildings. The research question can be formulated as follows: What is the relationship between the location of multiple entrances to the Naghsh-e Jahan square and its geometric system? The research findings indicate that the structure of the Naghsh-e Jahan Complex is following a geometric system with relative lengths based on the square shape, so the accesses location and the organization of the peripheral elements have all been subject to the mentioned system. Also, the results emphasize the benefit of a continuous process in planning the structure of the recent urban space, including its components, and considering it based on rational and inferential thinking, which, according to the geometric rules, is forming the hidden and revealed relations between the elements of the Safavid city.