Posted by Manuel Oliveros on December 13, 2002 at 10:05:58:
In Reply to: Fractal Geometry and Chaos Theory in Architecture posted by Ehsan on December 13, 2002 at 02:31:27:
Fractal geometry I understand one generated in fractions or parts. Typically some way of defining something is devised that uses pseudo-aleatory numbers to produce that something. For example, you can use the first pair of random numbers as a center of a circle, and then a third for radius, and then start again, to get a vast number of circles placed in the plane. As long as you have the correspondent ability to program, there's nothing difficult about this kind of generation of geometrical figures.
Some of the more common incarnations of fractal geometry are generation od 2D or 3D (then rendered by a programmed render) figures that as long the series becomes bigger seem to expand, and surfaces or small surfaces generated to look as mountains, clouds, etc
So the core of the thing is to use vast numbers of easily generated random numbers (the range of which may be limited in some way) to gneerate shapes to some purpose.
I have referred to applications in graphics, but anywhere that a lot of random points or elements are needed, this way of generation is useful to the thing. These generated elements can then be used as input to test a whatever modeled thing against such "random" (really pseudo-random) input. But this is exiting the limits of "geometry", for these technics are not limited to geometry. For example we could set some limits to some pseudorandomly generated live loads and then study their effect in our structures.
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