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Journal for Geometry and Graphics 10 (2006), No. 2, 183--197
Copyright Heldermann Verlag 2006

Geometry and Graphics in Spatial Invention: Among Mind, Hand, and Digital Means

Luigi Cocchiarella
Dep. INDACO, Politecnico di Milano, Via Durando 38/A, 20158 Milano, Italy

Aiming to discuss about the 'spatial invention' in Architecture, Environment, and Design, we have to consider, at least, the related domains of Art, Science, Technique, and then, we have to accept the risk of slipping in a way apparently not strictly connected with Mathematics. As an architect, in fact, I am firmly persuaded of the old concept regarding the 'complexity' of the life space. Which is not, as Christian Norberg-Schulz said, a simply abstract space, but an 'existential' space for the human beings, in other terms, a physical space enriched with material and spiritual traces and works of the human presence.
Maybe, an 'old fashioned' question but, with the university educators, it is deeply felt the difficulties of the students in front of a white paper, or of a black screen, at the beginning of a new project, and must of all, a sort of cultural fracture between tradition and the innovative approaches to the knowledges in the field of visual representation. At last, I think, two good reasons, both from a disciplinar and from a didactical point of view, to insist on these topics.

Keywords: Manual sketch, digital sketch, project, eometry and graphics, representation, spatial configuration.

MSC: 51N05

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