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.
An extremely irregular line or surface formed by the infinite repetition of a geometric pattern that becomes smaller and smaller with each repetition.
Webster's New World
(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.
See also fractal.
(mathematics) Having the form of a fractal.
Other Word Forms of Fractal
Origin of Fractal
From Frenchfractal, from Latinfractus (“broken”), perfect passive participle of frangō (“break, fragment”).
French from Latin frāctuspast participle offrangereto breakfraction
American Heritage Dictionary of the English Language, 5th Edition
Fractal Sentence Examples
Click on an image to see each beautiful fractal in more detail.
Using the techniques of fractal geometry, which he himself invented, Mandelbrot believes he has finally realized his ambition.
A method of texture segmentation is introduced which is based on the Fractal Dimension.
Figure 3.19 - Difference maps showing difference between surfaces interpolated in each of the four profile directions and the original surface fractal.
A tantalizing glimpse of the axed V&A Spiral in the form of samples of the fractal tiles which would have covered the building.