Toward a mathematical approach of spatial permeability (Kyrillos's Model)

Abstract Spatial permeability is a distinctive characteristic of urban form. However, a definitive method for measuring it remains a challenge. This study aims to investigate factors affecting permeability within urban systems, with a focus on incorporating a theoretical framework to support a mathematical approach. Moreover, a method for testing reliability and consistency is suggested. The methodology comprised theoretical and empirical sections. The theoretical part explores the concept of permeability and the core variables that affect permeability in cities. The experimental section involved analyzing 52 zones in Erbil City, extracting their physical and spatial attributes to be utilized as input data for the model. Ultimately, it is evident that the permeability of the built environment is defined by factors such as depth, choice, block size, and spatial maneuverability. The proposed model shows how permeability stands out from other spatial indicators, offering important initial insights into the expanding field of urban form analysis.