Multidimensional algorithms-based carbon efficiency model of building geometric 3D ratios for prefabricated 3D printing design and construction

Abstract This study addresses the relatively underexplored impact of architectural design, particularly 3D geometric proportions, on carbon reduction efficiency in the context of prefabricated construction. By employing multidimensional algorithms, an optimal-threshold model is derived for maximizing carbon reduction efficiency in prefabricated hotel construction compared to traditional methods, based on a comprehensive hotel building database. The model identifies key 3D ratio parameters: Area/perimeter (0.7 to 2.85), height/perimeter*L (0.09 to 0.22), height/area*L (0.05 to 0.13), and L (number of edges) (4 to 9). The study presents a practical model that can guide both the design coupled with construction of new hotels and the renovation of existing ones, ensuring optimized carbon reduction with minimal material, labor, and resource waste. Furthermore, this research contributes to the theoretical understanding of prefabricated technologies, including robotic 3D printing, and provides a framework for the future application of these technologies in sustainable construction practices.