The purpose of this research project is to explore the value of incomplete - endless - imperfect design, already applied in other scientific and artistic fields, for architecture. The starting point was the recognition of incomplete design as a design methodology that is increasingly present in the IT area. This design practice has not fully identified and classified as a specific methodology. The idea of incomplete design is associated with several ideas that have occasionally appeared in some philosophical, sociological, literary, musical, cinematic and architectural currents. At the beginning of this research project, we examine the design principles of two well known digital platforms (Wikipedia and Linux) that, in the context of this study, are considered incomplete. These platforms ensure the functionality of their structure being articulated as collective knowledge provisions, established utilising a customised swarm intelligence. The concept of swarm intelligence tends to establish into the architectural discourse, exerting its charm as a split into small, simple units, flexible and variable in time wholeness. At the time that the idea of collective intelligence ceases to be science fiction and gradually turns into a crucial cohabitation parameter, which could be the response of architecture? Most incomplete designed systems that will be mentioned contain, as their intrinsic component, adaptability and change. Is incomplete design capable of leading to a form of “underdesigned” architecture that will transform the stable relations inherited from history?