Geometric modeling and complexity-A conceptual approach in architectural design and education

Abstract

By encompassing abstraction and patterned information, the new fields of geometry and mathematical models of complex dynamic spatial systems provide a new method for spatial modeling. Different approaches to the application of spatial modeling in architectural design are possible, taking into consideration on the one hand the theoretical background and knowledge of geometry, and on the other, advanced computational techniques. The generative principles of complex dynamic spatial formation allow parallels between the differentiated representations and directions of approach to spatial organization. The integration of conceptual, theoretical and practical methods into complex dynamic geometric models in the preliminary phase of design could support the development of cognitive capabilities, internal representations and understanding of complex dynamic formative processes. The development of nonlinear, dynamic, complex spatial imaginative thinking corresponds with trends in contemporary computational design. The application of complex geometric modeling, including sophisticated mechanisms of human perception, intelligence and creativity, provides a synthesis of artificial and human potential.