Limited, unlimited, uncompleted. Towards the space of 4d-architecture

In the evolution of contemporary project, overcoming the Law of contradiction and the Principle of Excluded Middle has introduced the concept of flexible space, connected to the notion of inclusion and of multiple choice, i.e. a structure can contain other structures, a function other functions, building categories a number of subcategories, but above all, a detail can contain the generic and a project is invariant under certain kind of transformations especially in terms of homeomorphism. Moreover, confirming that inclusion can plug the gaps in discontinuity, an object contains all the others through the relationships connecting to them. This is supported by Kurt Gödel who maintains that in order to conclude a theory, it’s not enough to simply measure its postulates, but it becomes necessary to construct an ulterior, ensuing theory. Likewise, the figure of the labyrinth, metaphor for a controlled and regulated architecture, a virtually infinite cycle of perception and fruition, appears to be turned on its head. From limited to unlimited, suggesting a journey through the changing of architectural shapes, from the ancient concept of the finite labyrinth, whose centre is so distant as to even become unreachable, to the labyrinth as a maze of potentially infinite variations, full of multiple openings and ramifications, in reference to the workings of the mind and memory as metaphor for the architectural project and metaphor for composing in itself.