## fractal

frac·tal⌂

Geom. an extremely irregular line or surface formed by the infinite repetition of a geometric pattern that becomes smaller and smaller with each repetition

Origin of fractal

via French ; from Classical Latin*fractus*(see fractus) + -al: coined (1975) by B. Mandelbrot: see Mandelbrot

## fractal

noun

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.

Origin of fractal

French, from Latin*fractus*, past participle of

*frangere*,

*to break*; see

**fraction**.

*Related Forms:*

**frac′tal**adjective

**fractal**

## fractal

Noun

(*plural* fractals)

- (mathematics) A mathematical set that has a non-integer and constant Hausdorff dimension; a geometric figure that is self-similar at all scales.
- (figuratively) An object, system, or idea that exhibits a fractal-like property.

Hyponyms

- See also fractal

Adjective

(*not comparable*)

- (mathematics) Having the form of a fractal.

## fractal - Computer Definition

From the Latin *fractus*, translating as *broken * or *fractured*. An irregular or fragmented geometric shape that can be repeatedly subdivided into parts, each of which is a smaller copy of the whole. In words, a complex irregular object that is self-similar. Examples of fractal objects include mountain ranges, clouds, and lightening bolts. See also fractal transform.