Diagrams, Modeling and Rapid Prototyping: Interface Between Design of Form Process and Topology

This paper investigates the concept of topological processual diagrams, geometric way of surfaces construction in topology, and the paradigm of homoeomorphism shaping, procedure that keeps topological properties. It explores possibilities of using it as a process of architectural shape generation, combined to computer-aided modeling tools and rapid prototyping. It intends to go through two complementary ways of translation between object shape and topology: the making of architectonical objects in topological surfaces and, on the other way, the exploration of topological surfaces as architectonical objects.