fractal geometry

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Related to fractal geometry: Mandelbrot set, Fractals
ThesaurusAntonymsRelated WordsSynonymsLegend:
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
References in periodicals archive ?
Whereas Euclidean geometry consists of smooth, straight lines, fractal geometry consists of rough or fragmented shapes that can be split into parts, each of which is a reduced-size copy of the whole.
Andrews, UK) is a 400 page introduction to the complex mathematical science of fractal geometry.
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.
As we discuss in the paper, there's a mathematical basis for this phenomenon that can be demonstrated using principles from fractal geometry.
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.
The people who are making the backgrounds to films like Up are actually using fractal geometry, a very simple bit of code that creates the complexity of the natural world.
In his classic work, The Fractal Geometry of Nature, Mandelbrot (1977) presented the first description, along with an extensive catalog, of self-similar sets, namely, sets that may be expressed as unions of contracted copies of themselves.
Fractal geometry was introduced and popularized by Mandelbrot (1977) to model natural shapes (e.
The proposed process is based on the elements of the fractal geometry.
Fractal geometry has gradually established its importance in the study of image characteristics.
Blending order and chaos, fractal geometry refines our understanding of how nature operates, giving us a visual example of chaos theory at work.