By Carl Bovill
na large experience layout technology is the grammar of a language of pictures Irather than of phrases. glossy communique recommendations allow us to transmit and reconstitute pictures while not having to understand a particular verbal series language corresponding to the Morse code or Hungarian. overseas site visitors symptoms use foreign photograph symbols which aren't particular to any specific verbal language. a picture language differs from a verbal one in that the latter makes use of a linear string of symbols, while the previous is multi dimensional. Architectural renderings in general express projections onto 3 mutual ly perpendicular planes, or include move sections at various altitudes capa ble of being stacked and representing diversified flooring plans. Such renderings make it tough to visualize structures comprising ramps and different gains which hide the separation among flooring, and therefore restrict the cre ative technique of the architect. Analogously, we have a tendency to learn usual struc tures as though nature had used related stacked renderings, instead of, for example, a method of packed spheres, with the end result that we fail to understand the method of association deciding upon the shape of such constructions. belief is a fancy approach. Our senses list; they're analogous to audio or video units. we won't, although, declare that such units perceive.
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Extra info for Fractal Geometry in Architecture and Design
Example text
T'T" ;! ··· ; 1 ....... "T' . : . +. ···i·· .... 4··· . I· · :· · ·+··j·T···'·· -+. ;)J\.. I.. +............ + . . . . ···r··· ..... , .. + . . +. ,. +......... +. +... + .. \_.. ;. . +++ . . . 5 1 1 1 i i , , : , , ~ ~ i. J i...... 1....... ' ............. LL ' ; ...! L. :. :...... •. t.. 14 • Three box-counting grids placed over the coastline of California at Sea Ranch, including the small islands. The larger grid is 400 feet per unit of grid. The next is 200 feet per unit of grid.
Te.. -<{-< .. ~ ~ ~ )I- - -<-~-<~'l;. t~{ ~~ ~ -<-~+ ~{~.. 7 • The Koch curve transfonned into a fern by modifying the four transfonnations of the IFS. Reproduced with permission from Chaos and Fractals; Peitgen, Jurgens, and Saupe; Springer-Verlag; 1992. 1) For example, if X(O) = 2, the transformation with A = -1 and B = 0 would place X(1) at -2 on the X-axis. Applying this transformation again will place X(2) at +2 on the X-axis. This transformation will oscillate between these points. 672 This transformation is slowly approaching a ftxed point, an attractor in the language ofIFS.
1. The result is a modified Sierpinski gasket (Peitgen, Jurgens, and Saupe, 1992). The analogy of the reducing lenses represents mathematical transformations of figures on a two-dimensional plane that reduce the figures in size. IFS theory allows reductions in size that maintain mathematical similarity as well as reductions that modify similarity. An example of a reduction or contraction transformation that does not preserve similarity is one that scales by a different factor in the X and Y directions.