This paper presents a comprehensive overview of the theoretical modeling and methods on the concept of Architectural/Urban Identity. The author establishes a theoretical framework based on Parametric Design Theory, particularly focusing on fractal analysis and space syntax methodologies to examine the role of Parametric Architecture in preserving and expressing cultural heritage identity codes. Through a thorough review of existing literature on Parametric Design Theory in the context of cultural heritage identity codes, the author delves into the diverse applications, critiques, and theoretical interpretations of Parametric Architecture as it intersects with cultural heritage identity codes. By elucidating the essence of Parametric Design Theory, its operationalization, the predictions it generates, and the empirical evidence supporting its validity, the author lays the foundation for future research and open discussions regarding the potential of Parametric Architecture in preserving and expressing the unique cultural heritage identities of diverse communities around the world. Parametric design is a cutting-edge approach to architecture and building design that utilizes computer algorithms and mathematical equations to control the form and function of the design. This approach empowers designers to create intricate and organic structures that would be difficult or impossible to achieve using conventional methods. Parametric architecture has found its way into the design of a diverse range of buildings and structures, encompassing museums, concert halls, and office buildings. This new design methodology has garnered considerable attention in recent years.