Aims: Space is the core of how social and cultural events take place. Also, the relationship between activity and space is more comprehensible in the existing relationships between spaces and the relationships between audiences and social interactions than can be defined individually in the characteristics of space. This study tries to get acquainted with the graph theory and the basics of Space Syntex plugin and by explaining its mathematical relations evaluate the architecture of the Qajar period and the relationship between the companionship of spaces in a sample of Isfahan Qajar houses (Jangjouyan House)
Methods: The research method of the study is a descriptive-analytical, sci-tech anaysis with a case study strategy, for which the definitions of “Grasshopper” and” Space Syntax” are used to quantify it. The present study introduces the value of control in space, which implies the adaptability of space as one of the indicators of flexibility.
Findings: As the most permeable space, the yard has the highest ability to create spatial coherence and the highest level of control over other spaces, and on the other hand, the service spaces have the least amount of flexibility.
Conclusion: The courtyard positioning in the middle layers and its relationship with the intermediate spaces including the corridors, stairs, and partitions create a significant role for it, leading to its flexibility in the spatial configuration, while the location of yards in the primary layers in the contemporary homes has declined in its importance and this role has been transferred to other spaces.