![]() These technicians and their stories become the backdrop of those who developed this metric enough to let us see, and explore these subtle differences and their odd refinements. Mandelbrot goes over a variety of contexts in which we can understand their expressedly different dimensions, as structured rules through time, or a static interface that modifies itself as scale is adjusted.Īt times, Mandelbrot can become overwhelming as he notices as particular "cut" in an equation, be it a variable or an expressed tendency, and in vocalizing it, circulates around that textual point to arrange chapters, whorls on whorls, in which sections and sections of sections let us know when one thing was described and another thing began.Īnd so, as this is a book about the fractal geometry of nature, Mandelbrot shows us his love by talking admiringly of other mathematicians, many not celebrated, or fully acknowledged in their time. Fractals can thus be understood as the limit of scaleless models of difference. Each bit of aggregate from each context can be traced through out some of the other contexts so that a distribution of their differences can be expressed mathematically as a formalization of unithood - difference - itself. By necessity these fractals are thus found in areas of maximal distribution where it be biological, informational, materially, socially or otherwise. Fractals are unique in that they are that difference regardless of scale, that is, as Mandelbrot said of Leibniz, that Leibniz first recognized a straight line as being a curve whose arbitrary measure was universally applicable by itself by any other arbitrary measure.įractals are thus, a balance of form and measure and thus perfectly applicable to describing self similiarities that occur throughout various scales. It is through the figure of a difference that something is known. ![]() He is humorous at times, dense, and waxing on about fractals and changes that are self similar. This beautiful book is about Mandelbrot's love of science, mathematics and all forms of knowing. ![]()
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