fractal geometry


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Related to fractal geometry: Mandelbrot set, Fractals
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Noun1.fractal geometry - (mathematics) the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
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References in periodicals archive ?
Horizons of Fractal Geometry and Complex Dimensions
It is therefore called fractal geometry, the Non-Euclidean geometry that studies these structures, recurrent for example in the engineering design of networks, in Brownian motion and in galaxies.
This relative abstraction, especially given chaos theory's various aspects such as fractal geometry, self-similarity, non-linear dynamics, positive and negative feedback loops and the like, may make it difficult for the reader to follow, at least in the beginning.
But through using a fractal geometry antenna, where the shape is repeated in a limited size, in a way that increases the total length of the antenna to match, for example, half of the wavelength of the corresponding desired frequency, the size limitations can be overcome in this case.
Fractal geometry presents a set of mathematical computations for investigating irregular geometric shapes.
Fractal antenna is an antenna based on fractal geometry. This term was first used by the French mathematician Mandelbrot in 1975 to describe a fractal shape that can be subdivided in many parts; each one of them is a reduced-size copy of the whole.
Falconer, Fractal Geometry: Mathematical Foundations and Applications, Wiley, Chichester, UK, 1990.
Utilization of fractal geometry for fix configuration is one of the least difficult methods to accomplish multiband reception.
Fractal geometry was developed to adequately measure the irregularity of objects found in nature (7,8).
According to fractal geometry theory, when pore structures are fractal, the relationship between the pore number and pore radius can be presented as [3]
Fractal geometry allows for the analysis of complex processes by overcoming the rigidity of Euclidean geometry and provides an important insights for describing the urban form and characterizing sprawl (Mesev et al.