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The fractal, self-similar nature of the spectrum was discovered in the 1976 Ph.D. work of Douglas Hofstadter [1] and is one of the early examples of modern scientific data visualization. The name reflects the fact that, as Hofstadter wrote, "the large gaps [in the graph] form a very striking pattern somewhat resembling a butterfly."
Fractal branching of trees. Fractal analysis is assessing fractal characteristics of data.It consists of several methods to assign a fractal dimension and other fractal characteristics to a dataset which may be a theoretical dataset, or a pattern or signal extracted from phenomena including topography, [1] natural geometric objects, ecology and aquatic sciences, [2] sound, market fluctuations ...
Ascalon or Ashkelon [a] was an ancient Near East port city on the Mediterranean coast of the southern Levant of high historical and archaeological significance. Its remains are located in the archaeological site of Tel Ashkelon, within the city limits of the modern Israeli city of Ashkelon.
Created Date: 8/30/2012 4:52:52 PM
Starting in the 1950s Benoit Mandelbrot and others have studied self-similarity of fractal curves, and have applied theory of fractals to modelling natural phenomena. Self-similarity occurs, and analysis of these patterns has found fractal curves in such diverse fields as economics, fluid mechanics, geomorphology, human physiology and linguistics.
Still image of a movie of increasing magnification on 0.001643721971153 − 0.822467633298876i Still image of an animation of increasing magnification. There are many programs and algorithms used to plot the Mandelbrot set and other fractals, some of which are described in fractal-generating software.
Fractals is a peer-reviewed scientific journal devoted to explaining complex phenomena using fractal geometry and scaling. It is published by World Scientific and has explored diverse topics from turbulence and colloidal aggregation to stock markets .
Between 1974 and 1990 El Naschie published eight papers, mainly relating to the mathematics of buckling, in the Journal of Applied Mathematics and Mechanics. [4] Since then he has published over 400 articles, mainly in the field of theoretical physics, the majority in Chaos, Solitons & Fractals, a journal of which he was the editor-in-chief, and where standards of peer review have been questioned.