D ⁴ G framework: a novel Voronoi diagram classification for decoding natural geometrics to enhance the built environment

Abstract

This study enhances designers' ability to decode natural geometric patterns, simplify their descriptions, and apply them to the built environment using Voronoi diagram (VD). Therefore, VDs are examined using a literature review, establishing the D4G classification of VDs, which consists of five acronyms: dimension, domain, distribution, dominance, and generator. Additionally, we developed an analytical comparison matrix to conclude the VDs' application benefits at different design scales. Finally, we validate the proposed framework at three integration scales: interior, architectural, and urban design, to decode natural geometric patterns and generate various VDs using Rhino software and Grasshopper plug-in. The study concluded that a limitless number of decoding patterns can be deduced based on the inputs. Nevertheless, the analytical comparison matrix was applied to selected patterns using the D4G classification of VDs, and the D4G classification-based framework was evaluated in only three case studies. Moreover, the expected benefits were determined for each case.