Abstract
Geometry and architecture both have a long trajectory in the history of western thought. Geometry offers the possibility to interpret the physical structure of the world and to develop rational thinking, while architecture 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 of architectural space: from the modulated rigour of Classicism and the birth of Euclidean geometry, to contemporary informalism with the incorporation of digital mathematical calculation and intense questioning and reconsideration of traditional Cartesian space. The two-dimensional constant and dynamic projection of a three-dimensional spatial situation has been upheld since the time of simple spatial-temporal allegories of the architectural project up until the new developments with unconventional instrumental resources, generating innovative structural, formal, spatial and technological solutions.
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