computational geometry

Digital fabrication and computational geometry are two emerging approaches in architecture that have increasingly interacted with each other. Computational geometry plays  a crucial role in the evolution of the design process by providing powerful tools for generating complex forms and optimizing structures. On the other hand, digital fabrication, through the use of advanced technologies, enables the physical realization of these forms with high accuracy and speed. The complexity of the interaction between these two areas and their immense potential reveals the necessity of conducting comprehensive research in this field. This research has been carried out to examine the relationship between digital construction and computational geometry in architectural design and evaluate the challenges, possibilities and opportunities resulting from this synergy. By reviewing the existing literature and adopting a descriptive-analytical approach, this study investigates various case examples with distinct geometric features and digital fabrication methods, exploring the synergy between these two approaches in architectural design. The research findings show that the optimal synergy of computational geometry and digital fabrication leads to a design-by-fabrication process that can create architectures with diverse geometric complexity, manufacturability, customization, and cost reduction.