Body without organs

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Contemporary utopia, which begins in the model factory and ends in science fiction, is technology. Scientific and technological progress is the source of new meaningful possibilities for architectural composition. Architecture uses geometric shapes and mathematical tools in the process of composition. Freeform curves and surfaces have become an integral part of much contemporary architecture. Starting from a reflection on geometry and the representation of these particular curves, this thesis investigates the influences on the forms of contemporary architectural design that necessarily deal with geometric patterns which determine the composition models that could be both Euclidean and non-Euclidean. The thesis work analyses geometry, design and architecture in relation to the idea of space and its historical evolution. The architectural space as an indissoluble union between geometrical space and sensitive perceived space. The real nature of the space is closer to the theories that to perception of senses. The form undergoes architectural changes parallel to the evolution of space idea.

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The work is divided into levels of abstraction:

level 0 or geometry level: where are deepened essential methods for representation of curves and surfaces, currently implemented by general tools (Bezier, Bspline and NURBS).

level I or structure level: concerns the study of a shape grammar that can be defined compositional method. 

level II or space-form level: inherent the project, that is space-form architecture.

It then proceeds from algorithmic low level code (level 0) to the semantic Architectural form (level 2) with design tools (level 1).  In a linguistic analogy geometry (signifier), related to the signify (grammar case) which mean to imply the sign. The topic is the idea of possible different habitable forms. It is necessarily studied also in its historical evolution from Heidegger’s existentialist to the hybrid approach of Deleuze. The work focuses on the design process rather than the outcome. The purpose of search is a method-process for housing in the possible variations of space and forms.

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