Wednesday, February 14, 2018

Felino A. Soriano writes

Fractal Purification
                               --for Mia

       Of the fathering
  disposition     my daughter
       now five
 a language
                       embracing my recalling
                       her initial cry through the
                                                               burrow of
                                                               predetermined     arrival

diligence our music becoming dialogical engagement; thrust of what speed says when an hour’s resemblance is no longer the physical appearance of what was said among moving conversation. 

                                                  In August our days require recognizing birth: two disparate 
days | two days separated          we celebrate with embrace amid
         family and the faces of our elated dispositional

 DIY Fractals: Exploring the Mandelbrot Set on a Personal Computer

1 comment:

  1. The Mandelbrot set broods in silent complexity at the center of a vast two-dimensional sheet of numbers called the complex plane. When a certain operation is applied repeatedly to the numbers, the ones outside the set flee to infinity. The numbers inside remain to drift or dance about. Close to the boundary minutely choreographed wanderings mark the onset of the instability. Here is an infinite regress of detail that astonishes us with its variety, its complexity and its strange beauty....

    With the aid of a relatively simple program a computer can be converted into a kind of microscope for viewing the boundary of the Mandelbrot set. In principle one can zoom in for a closer look at any part of the set at any magnification. From a distant vantage the set resembles a squat, wart-covered figure eight lying on its side. The inside of the figure is ominously black. Surrounding it is a halo colored electric white, which gives way to deep blues and blacks in the outer reaches of the plane.

    Approaching the Mandelbrot set, one finds that each wart is a tiny figure shaped much like the parent set. Zooming in for a close look at one of the tiny figures, however, opens up an entirely different pattern: a riot of organic-looking tendrils and curlicues sweeps out in whorls and rows. Magnifying a curlicue reveals yet another scene: it is made up of pairs of whorls joined by bridges of filigree. A magnified bridge turns out to have two curlicues sprouting from its center. In the center of this center, so to speak, is a four-way bridge with four more curlicues, and in the center of these curlicues another version of the Mandelbrot set is found.

    The magnified version is not quite the same Mandelbrot set. As the zoom continues, such objects seem to reappear, but a closer look always turns up differences. Things go on this way forever, infinitely various and frighteningly lovely.

    --A. K. Dewdney, SCIENTIFIC AMERICAN, August 1985


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