fractal geometry


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Related to fractal geometry: Mandelbrot set, Fractals
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Words related to fractal geometry

(mathematics) the geometry of fractals

References in periodicals archive ?
Even the way the lungs inflate follows fractal geometry.
Fractal geometry was introduced by the French mathematician Benoit Mandelbrot, around 1970.
Fractal geometry is Non-Euclidean geometry established by Mandelbort [23] and has been applied in geosciences and mineral exploration, especially in geophysical and geochemical exploration since 1980s e.
Fractal geometry and dynamical systems in pure and applied mathematics II; fractals in applied mathematics; proceedings.
The use of fractal geometry has therefore been used to describe the irregularities of ECTI profiles taken from the oral mucosa both in normal and abnormal cases.
So far in the large number of previous researches, fractal geometry is applied to reduce electrical size of antennas by the good filling property itself or design as a radiator of the monopole antenna to obtain multiband or wideband performance.
It had drawn much attention since it was formally put forth by Cohen [1, 2] 12 years after Mandelbrot established Fractal Geometry in 1983 [3].
d'Assuncao, "Investigation of enhancement band using double screen frequency selective surfaces with koch fractal geometry at millimeter wave range," Journal of Infrared, Millimeter, and Terahertz Waves, Vol.
Benoit Mandelbrot created fractal geometry to help explain and organize seemingly random objects in nature such as tree branches and cloud formations.
THE FRACTALIST; MEMOIR OF A SCIENTIFIC MAVERICK provides a powerful memoir by a man who revitalized visual geometry, author Benoit Mandelbrot, who created fractal geometry, and follows the high points of his life and his evolution from his birth in Warsaw in 1924 to a Lithuanian Jewish family to his evolution as a mathematician.
His uncle, Szolem Mandelbrojt, was a star of French mathematics in the 20th century, but he looked with suspicion on the kind of acclaim Benoit received when he published his 1975 book Fractals and its popular successor The Fractal Geometry of Nature in 1982.
To appreciate the value and diversity of the Dimensional Fractal approach, we believe that the spread of chaos theory and fractal geometry in the social sciences is essential to our future evolution, as the art of storytelling was essential the origins of our culture [Mandelbrot, B: 1999].
The drainage networks that follow the basic fractal geometry and remain undisturbed are discriminated using various fractal approaches e.
Complexity is a result, not an objective; not an artist's wish; and, contrary to current dogma based in fractal geometry, it is certainly not "maximized.