Folds and Refolds: Space Generation, Shapes, and Complex Components

Abstract

Geometry and architecture both have a long trajectory in the history of western thought. Geometry offersthe possibility to interpret the physical structure of the world and to develop rational thinking, whilearchitecture provides the capacity to transform the physical substance and meaning of our surroundings.Diverse developments in the field of geometric representation have determined the characteristics ofarchitectural space: from the modulated rigour of Classicism and the birth of Euclidean geometry,to contemporary informalism with the incorporation of digital mathematical calculation and intensequestioning and reconsideration of traditional Cartesian space. The two-dimensional constant anddynamic projection of a three-dimensional spatial situation has been upheld since the time of simplespatial-temporal allegories of the architectural project up until the new developments with unconventionalinstrumental resources, generating innovative structural, formal, spatial and technological solutions.