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FRACTAL GEOMETRY, COLOR DISTRIBUTION AND ARCHITECTURE
Abstract
With the publication, in 1975, of Les objects fractals: Forme hasard et dimension, Benoit Mandelbrot created the foundations of a new geometry that, since then, plays a crucial role in the description of natural and irregular shapes. Free from the strict understanding of form and space, as defined by its Cartesian dimensions, or strictly based on Euclid's postulates and common notions, this new geometry provides new languages, new concepts, new techniques and new instruments of reflection. Through the design of specific algorithms, written in AutoLISP, under the AutoCAD environment, introducing probabilistic color distribution characteristics, this geometry continues to evidence an incredible ability to generate objects with very interesting features that can be used in architecture, as well as in design.
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References6
DAVIDSON, Peter, Donald L. BATES. 1997, Architecture after geometry (editorial), in: Architectural Design, vol. 67, nº5/6, May/June, pp 7.
MANDELBROT, Benoît. 1982. The fractal geometry of nature, (New York: W. H. Freeman and Company), pp 6-13.
MANDELBROT, Benoît. 1984. Les objects fractals: Forme hasard et dimension (Paris: Flammarion), pp 5-19.
FALCONER, Kenneth. 1997. Techniques in fractal geometry, (Chichester: John Willey & Sons Ltd.) pp xi.
LIMA, António. 2007. Referenciais geométricos na arquitectura e no design. Para além da geometria euclidiana (PhD thesis) (Lisboa: F.A.-U.T.L.), pp 234-260.
MANDELBROT, Benoît. 1991. Objectos fractais: Forma acaso e dimensão
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