Fractal Geometry in Architecture and Design
na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.
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architecture Barnsley box count grid box-counting dimension Box-counting grids placed brown noise building Cantor set Chaos and Fractals chaos game Chapter clustered coast of Britain coastline complex numbers curdling dimension of 1.7 display equation feet fractal characteristic Fractal Concepts fractal curves fractal dimension fractal distribution fractal dust fractal geometry fractal rhythms Frank Lloyd Wright graph grid dimension grid size grid horizontal Hurst exponent infinite number Julia sets Jurgens Koch curve layout length Mandelbrot set mathematical maximum fluctuation method midpoint displacement modular Nantucket number of boxes order and surprise painting Peano curve Peitgen planning grid produce random range of scale Reproduced with permission rescaled range rescaled range analysis result Robie house Saupe scaling factor scanning range Sea Ranch self-similarity dimension sequence of notes shapes sheet music shows Sierpinski gasket similar square stage straight line structure texture transformation triangle Unity Temple variation Villa Savoye white noise
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