Key research themes
1. Why do multiple geometric constructions persist in classical architectural and mathematical practices despite the availability of simpler methods?
This theme explores the historical and practical reasons behind the persistence of diverse geometric construction methods in classical Europe, especially focusing on the division of a straight line into n equal parts (n-section). Understanding why practitioners favored a variety of techniques, often not the simplest, sheds light on the intersection of intellectual traditions, material conditions, and scale in architectural and engineering applications of geometry.
2. How can parametric modeling and computational shape grammars enhance flexibility and automation in architectural design generation?
This theme focuses on computational design methodologies, particularly parametric design and shape grammars, that detach shape knowledge from procedural knowledge. These techniques allow designers to specify flexible, non-deterministic design processes with logical constraints, supporting exploration and automatic generation of complex architectural and urban forms.
3. What geometric constraints can be integrated into shape and topology optimization frameworks to accommodate aesthetics, fabrication, and user preferences in architectural conceptual design?
This theme delves into augmenting shape and topology optimization with geometric constraints that reflect architectural concerns beyond pure mechanical criteria. It addresses how incorporating geometric measures related to aesthetics, manufacturability, and user taste within numerical optimization frameworks can influence design outcomes and bridge the gap between mathematical optimization and creative architectural practice.
4. How do geometric principles and tessellation configurations manifest in architectural structural systems and influence design and construction?
This research area examines the application of tessellation—a mathematical concept of subdividing space without gaps or overlaps—in structural systems within architecture. It addresses how geometric patterns like Voronoi, hexagrids, and fractal tessellations guide form-finding, structural performance, and aesthetics, providing a rigorous link between mathematical design, parametric modeling, and physical architectural expression.