Undoubtedly, the evolution and innovation in architecture and urban design are closely tied to the advancement and growth of technology. In this context, it is evident that the incorporation of contemporary parametric technological design tools in urban design has led to a transformation in the traditional urban formulations and patterns of city blocks, standards, and morphology. This paper focuses on the concept of Parametric Urbanism, delving into the exploration and questioning of the various types of urban formulations and the impact of parametric thought on changing these formulations. It also examines how this approach can influence traditional urban patterns and contribute to the emergence of new architectural methodologies. Additionally, the paper addresses the factors that have contributed to the rise of parametric urbanism and seeks to determine the benefits and potential drawbacks of  this approach in urban planning. Furthermore, it aims to establish an integrated parametric urban framework that can be effectively applied during the different phases of urban design. The paper includes a concise literature review that concentrates on typical urban formulations, parametric urbanism, and parametric thought. It then presents a practical integrated parametric urban framework, showcasing its application through case studies of parametric projects. This framework explains the fundamental principles of parametric design and highlights the impact of this approach on both the form and function of design decisions in those case studies. Moreover, it elucidates the urban formulations employed in those projects and concludes by discussing the influence of parametric thinking on changing urban patterns.