Fractal Architecture
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Fractal Architecture by Michael Ostwald for the Nexus Network Journal vol.3 no.1 Winter 2001
F or more than two decades an intricate and contradictory relationship has existed between architecture and the sciences of complexity. While the nature of this relationship has shifted and changed throughout that time a common point of connection has been fractal geometry. Both architects and mathematicians have each offered definitions of what might, or might not, constitute fractal architecture. Curiously, there are few similarities between architects' and mathematicians' definitions of "fractal architecture". There are also very few signs of recognition that the other side's opinion exists at all. Practising architects have largely ignored the views of mathematicians concerning the built environment and conversely mathematicians have failed to recognise the quite lengthy history of architects appropriating and using fractal geometry in their designs.
Traducción de: Courbes et dimension fractale. Paris : Springer, 1993. Incluye referencias bibliográficas (p. [315]-318) e índice. ISBN 0387940952. ...
Courbes et dimension fractale - Google Livres
Fractal | Define Fractal at Dictionary.com
Contraction of “fractional dimension.” This is a term used by mathematicians to describe certain geometrical structures whose shape appears to be the same regardless of the level of magnification used to view them. A standard example is a seacoast, which looks roughly the same whether viewed from a satellite or an airplane, on foot, or under a magnifying glass. Many natural shapes approximate fractals, and they are widely used to produce images in television and movies.Fractal - Wikipedia, the free encyclopedia
Figure 1a. The Mandelbrot set illustrates self-similarity. As you zoom in on the image at finer and finer scales, the same pattern re-appears so that it is virtually impossible to know at which level you are looking. A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension [ 1 ] and may fall between the integers . [ 2 ] Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far" [ 3 ] Fractals may be exactly the same at every scale, or as illustrated in Figure 1 , they may be nearly the same at different scales. [ 2 ] [ 4 ] [ 5 ] [ 6 ] The definition of fractal goes beyond self-similarity per se to exclude trivial self-similarity and include the idea of a detailed pattern repeating itself. [ 2 ] :166; 18 [ 4 ] [ 7 ]
Un article de Wikipédia, l'encyclopédie libre. On nomme figure fractale ou "fractale" par substantivation de l'adjectif (ou encore en anglais fractal ), une courbe ou surface de forme irrégulière ou morcelée qui se crée en suivant des règles déterministes ou stochastiques impliquant une homothétie interne. Le terme « fractale » est un néologisme créé par Benoît Mandelbrot en 1974 [ 1 ] à partir de la racine latine fractus , qui signifie brisé, irrégulier (fractales n.f). Dans la « théorie de la rugosité » développée par Mandelbrot, une fractale désigne des objets dont la structure est invariante par changement d’échelle. Ce terme était au départ un adjectif : les objets fractals (selon un pluriel formé sur l'exemple de "chantiers navals").
Fractale - Wikipédia
This installation considers Eisenman's "groundwork" from one of the earliest projects, the Cannaregio Town Square in Venice (1978), to the Wexner Center for the Arts in Columbus, Ohio (1989) and the City of Culture of Galicia, in Santiago de Compostela, Spain (currently under construction). Beginning from the conventional notion of the gallery wall as a "ground," the installation uses the wall to register each of the three projects' differing relations with the ground. Rather than treat the gallery wall as the project's ground, here the solid wall represents space, and the voids carved into the wall mark the buildings' forms, inverting the expected object/wall relationship. The installation offers visitors a worm's-eye view of the work and an understanding of the spatial qualities of a figured ground that would be impossible to see in the actual built works.
Eisenman Architects - Exhibition