Historically, the idea of buildings in harmony with nature can be traced back to ancient Egyptians, China, Greeks and Romans. At the beginning of 21st century, the increasing concerns on sustainability oriented on buildings have added new challenges in building architecture design and called for new design responses. Fractals for instance can be constructed through limits of iterative schemes involving generators of iterative functions on metric spaces. Iterated Function System is the most common, general and powerful mathematical tool that can be used to generate architectural objects.
This method of form finding techniques were used by International Design Associates and proven to be very efficient than the conventional paper based design process. In this context, fractal geometry theory offers an alternative for sustainable architectural design.