The primary objective of this study is to formulate a comprehensive digital and physical model, at a scaled level, for a social housing unit utilizing the open-source Wikihouse system. The construction industry is currently grappling with the dual challenges of a real estate crisis and climate change. In response to this scenario, the integration of industrialized methods in construction processes is advocated to enhance the overall quality of the end product, streamline construction timelines, and curtail production costs. The algorithm developed for this purpose leverages Rhino and Grasshopper programs, thereby optimizing material efficiency when compared to traditional individual pieces. Noteworthy among the features of the Wikihouse system is its remarkable versatility, allowing implementation in diverse locations. This flexibility stems from its efficient assembly characteristics, which liberate it from the constraints of rigid modular structures, contributing significantly to architectural design flexibility. The paramount finding of this research is the demonstrated efficiency of the proposed system, requiring 44% less time compared to conventional construction practices and exhibiting a commendable 29% reduction in costs. These outcomes position the Wikihouse-based approach as an appealing and competitive alternative within the real estate sector.