Architecture is totally linked to the knowledge and study of geometry. The re-entrant hexatruss structure is part of the auxetic structures. These structures, characterized by its negative Poisson’s ratio, change their geometric configuration from a line to a surface and from a surface to a volume or spatial framework. This project is based on establishing those re-entrant hexatruss geometries to be able to build new spaces in architecture, studying analytically geometric and structural properties of auxetic materials and structures that can be a part of the architecture construction. ----------RESUMEN---------- La arquitectura está profundamente ligada al conocimiento y estudio de la geometría. La estructura reentrante hexatruss se encuadr...