# fractal

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Related to Fractals: Mandelbrot set, Mandelbrot

## frac·tal

(frăk′təl)*n.*

An object whose parts, at infinitely many levels of magnification, appear geometrically similar to the whole. Fractals are used in the design of compact antennas and for computer modeling of natural-looking structures like clouds and trees.

[French, from Latin frāctus, past participle of frangere,

*to break*; see**fraction**.]**frac′tal**

*adj.*

## fractal

(ˈfræktəl)*maths*

*n*

(Mathematics) a figure or surface generated by successive subdivisions of a simpler polygon or polyhedron, according to some iterative process

*adj*

(Mathematics) of, relating to, or involving such a process: fractal geometry; fractal curve.

[C20: from Latin

*frāctus*past participle of*frangere*to break]## frac•tal

(ˈfræk tl)*n.*

a geometrical structure that has a regular or an uneven shape repeated over all scales of measurement and that has a dimension (frac′tal dimen`sion), determined according to definite rules, that is greater than the spatial dimension of the structure.

[< French

*fractale*< Latin*frāct(us)*broken, uneven; term introduced by French mathematician Benoit Mandelbrot (born 1924) in 1975]## frac·tal

(frăk′təl) A geometric pattern repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by standard geometry. Even the most minute details of a fractal's pattern repeat elements of the overall geometric pattern. Fractals are widely used in computer modeling of irregular patterns and structures in nature, such as the patterns of seasonal weather. They are also considered to be a visual representation of chaos. See more at chaos.

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Noun | 1. | fractal - (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometrypattern, form, shape - a perceptual structure; "the composition presents problems for students of musical form"; "a visual pattern must include not only objects but the spaces between them" math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement |

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