The dissertation examines the relationship between the field of mathematics and the field of architecture, in regard to the new mathematical theories that were developed in the 20th century.

Chaos theory, complexity theory and fractal geometry are all too distinct from Euclidean geometry and offer valuable tools for design that address the problems generated by the contemporary complex environment. The generation of form and structure can evolve from a recursive process in accordance with a set of strict rules. These rules reflect fundamental parameters of the design process. Thus, architecture emerges from a bottom up process that cannot be predefined, making room for the unpredictable and surprising. It simulates natural structures that please the eye, while according to researchers it eliminates stressful hormones that tend to build up due to the modern way of life.

Apart from the emergence of the architectural form, these theories provide for a new research field in urban settings. We are now able to develop complex systems that simulate the complexity of agents in the city. On a n-dimensional grid, exist cells that represent location and agents that represent human activity and intervention. Urban patterns emerge that visualize a future state of the city fabric, in much more detail and accuracy than would a sole designer. Finally, a new opportunity has arisen in search of the ideal city in regards to efficiency and user satisfaction.

Supervisor

Dimitris Papalexopoulos