The system of theoretical geometry of the Two-leged plumb tier of Rasmi-Bandi Derived from Peripheral Circle in Persian Architecture

Karbandi is one of the most important geometrical sciences in the Islamic arts of Iran, which plays an important role in arranging interior spaces. Their shape, structure, gender and structural role are among the important issues that have given a special variety to the applications. Despite its importance, research in this field has not been as deep as it should be. With the aim of knowing the theoretical geometry system of applications and based on the peripheral circle, the Two-legged plumb type of vertical mold is the basis of the research. The research follows two main questions. First of all, what are the changes in the frequency of connection methods, dimensional fit and geometric ratios in the field of two-legged applications of Shagholi mold? The second question is what are the types of applications of bipeds and their geometric proportions. Based on library studies and theoretical analysis, through the circumscribed circle, the theoretical geometry of 205 states from Two Impost plumb Rasmi-Bandi of 8 to 24 has been studied and by removing the Sanbooseh, the types, connection modes and number of possible modes in these samples have been classified. The results show that a large number of two-legs of Rasmi follow the rules of the Fibonacci golden ratio and the golden number Φ. The findings show that biped formal 8 has the least number of frequencies (one type of state) and biped formal 22 and 24 has the highest number of frequencies (48 different types of states) and with the increase of the two-legged formal type from 8 to 24, the frequency of that formal also becomes more or equal to the two-legged formal before it; The results show that as the number of connections increases, the frequency of the number of two-legged formals will also increase, and a large number of two-legged formal fields follow the laws of the Fibonacci golden ratio and the golden number Φ.