Analysis of the geometric proportion of courtyards, Facade in historical houses of Isfahan city

Historical houses are of special importance in terms of architectural principles and geometric features. This study examines the characteristics of the geometric principles adopted in the houses of the Safavid and Qajar periods. The main goal is to know the geometric characteristics of the courtyard and facade in historical houses and to investigate their influence on each other. Extensive research has been done in this area, but no study has been done to examine the length of the yard to the height of the facade and the ratio of the length to the width of the yard. The statistical population of this study includes historical houses in the central courtyard of Isfahan city, from which 15 houses have been selected and investigated by purposeful sampling. The methodological approach of the research is based on field studies and geometric-arithmetic analysis. The tools used are drawing and AutoCAD drawing software. If the axis of the courtyard is north-south in the studied houses, the facades in the rectangular houses with two, three, and four fronts are placed in such a way that the north facade is higher than the other three facades, and if the axis of the yard is east-west, this phenomenon does not exist. Views and their orientation in the yard are one of the most influential components in obtaining the appropriateness of the yard to the Facades