||This paper integrates the investigations developed by the authors at Nomads.USP, where we proposes amplify the understanding circa the possible interfaces between the complex thought and the contemporary design process of concrete, hybrid, symbiotic and virtual spaces, through the reading and critical analyses of complex thought principles, over the trandisciplinary methodology. The goal of this project stage is to study alternatives to the conventional design process in architecture, searching possible inter-relations, and complementation, among diverse disciplines, by a transdisciplinary approach of the design process, permeated by the new Information and Communication Technologies [ICT]. Starting from these parameters we search contemporary design processes . developed and applied at the most diverse disciplines . that, by some manner, dialogue with this thought. Inside this context, two processes, defining as Software Engineering Paradigms, deserve special attention: Spiral model and Chaos model.