in which the microscopic crystals that make up a flake look much like the flake itself. They can also be seen in tree bark and in broccoli buds. Coastlines often represent fractals as well, being highly uneven at both a large scale and a very small scale. Fractal geometry has been importa...
Physics success is largely determined by using mathematics.Physics often themselves create the necessary mathematical apparatus.This article shows how you can construct a fractal calculus-mathematics of fractal geometry.In modem scientific literature often write from a firm that\"there is no strict ...
Fractal geometry has been important in many fields, including astronomy, physical chemistry, and fluid mechanics. And even some artists are benefiting, creating beautiful and interesting abstract designs by means of fractals.Examples of fractal in a Sentence Recent Examples on the Web Examples are...
fractal geometry; fractal dimensions; fractal curves. Architecture, Decorative Art.of or relating to a design or construction that uses the concept and mechanics of fractal geometry: The progression of forms from distant view to excruciating detail is born of the fractal composition that brands her ...
noun(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry Etymologies from The American Heritage® Dictionary of the English Language, 4th Edition [French, from Latinfrāctus, past participle offrangere, to break; see fraction.] ...
The meaning of fractal geometry is that each component of a geological volume is similar to the volume in a given form. If the volume or each component is partitioned into several grids, then fractal dimension D can be used to quantitatively describe the complexity of fractal geometry (Zhang ...
Iterated function systems have been at the heart of fractal geometry almost from its origins. The purpose of this expository article is to discuss new rese
Here we show geometry-induced formation of fractal defect states in Koch nematic colloids, exhibiting fractal self-similarity better than 90% over three orders of magnitude in the length scales, from micrometers to nanometres. We produce polymer Koch-shaped hollow colloidal prisms of three ...
Many important spatial patterns of Nature are either irregular or fragmented to such an extreme degree that ... classical geometry ... is hardly of any help in describing their form. ... I hope to show that it is possible in many cases to remedy this absence of geometric representation by...
classical geometry ... is hardly of any help in describing their form. ... I hope to show that it is possible in many cases to remedy this absence of geometric representation by using a family of shapes I propose to call fractals — or fractal sets. [Mandelbrot, "Fractals," 1977] ...