fractal geometry
Noun | 1. | fractal geometry - (mathematics) the geometry of fractals; "Benoit Mandelbrot pioneered fractal geometry" |
单词 | fractal geometry | |||
释义 | fractal geometry
fractal geometryfractal geometry,branch of mathematicsmathematics,deductive study of numbers, geometry, and various abstract constructs, or structures; the latter often "abstract" the features common to several models derived from the empirical, or applied, sciences, although many emerge from purely mathematical or logical ..... Click the link for more information. concerned with irregular patterns made of parts that are in some way similar to the whole, e.g., twigs and tree branches, a property called self-similarity or self-symmetry. Unlike conventional geometrygeometry [Gr.,=earth measuring], branch of mathematics concerned with the properties of and relationships between points, lines, planes, and figures and with generalizations of these concepts. ..... Click the link for more information. , which is concerned with regular shapes and whole-number dimensions, such as lines (one-dimensional) and cones (three-dimensional), fractal geometry deals with shapes found in nature that have non-integer, or fractal, dimensions—linelike rivers with a fractal dimension of about 1.2 and conelike mountains with a fractal dimension between 2 and 3. Fractal geometry developed from Benoit Mandelbrot'sMandelbrot, Benoît B. BibliographySee B. B. Mandelbrot, The Fractal Geometry of Nature (1983); K. J. Falconer, Fractal Geometry: Mathematical Foundations and Applications (1990); H.-O. Peitgen, H. Jurgens, and D. Saupe, Chaos and Fractals: New Frontiers of Science (1992). fractal geometrythe geometry of complex topologies/structures. There have suggestions, especially recently, that social reality is inherently ‘fractal’, its topologies ‘bizarre’ (see Law, 1999). With modern computers, the presentation of these structures visually has become more accessible.fractal geometry
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