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Penser l'espace et les formes : l'apport des opérations effectuées dans l'analyse (géographie) et la production (architecture) d'espace et de formes à la définition et à la conceptualisation des notions d'espace et de forme (géométrie)

Marie-Pascale Corcuff 1
1 LETG - Rennes - Littoral, Environnement, Télédétection, Géomatique
LETG - Littoral, Environnement, Télédétection, Géomatique UMR 6554
Abstract : Starting from the definition of any space as a perceptive continuum, and after having introduced the crucial notion of dimension, form is considered as what enables our perception of space, by setting a cut (boundary) in the space of displacements. Conceptual and material operations dealing with forms, operations which are common to mankind as a whole, but are most often performed by geographers and architects, lead to the fondamental concepts of geometry. Yet these concepts, which have effictively governed our conception of space and forfis for centuries, are unhelpful to handle some forms, especially many natural forms. Operations must be replaced by processes, the essential princip les of which are the notions of iteration and attractor. Generative processes yield new concepts, like self-similarity and fractal dimension, which elaborate without contradiction the classical geometrical concepts. Such pro cesses (IFS, L-systems, cellular automata), carriéd out in the digital space, show how simple and deterministic rules may lead to complex and sometimes unpredictable, though specific, forms. They offer new possibilities for analysis and for invention of forms in geography as well as in architecture, and contribute to teach a different way of looking upon space and forms.
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Submitted on : Tuesday, January 22, 2008 - 5:23:21 PM
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  • HAL Id : tel-00204573, version 2

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Marie-Pascale Corcuff. Penser l'espace et les formes : l'apport des opérations effectuées dans l'analyse (géographie) et la production (architecture) d'espace et de formes à la définition et à la conceptualisation des notions d'espace et de forme (géométrie). Géographie. Université Rennes 2, 2007. Français. ⟨tel-00204573v2⟩

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