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

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.