In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding...

integers. There is also a fractal derivative, defined in fractal spacetime. Fractal or Fractals may also refer to: Fractal (EP), 2009 album by Swedish...

fractal dimension is a term invoked in the science of geometry to provide a rational statistical index of complexity detail in a pattern. A fractal pattern...

Fractal expressionism is used to distinguish fractal art generated directly by artists from fractal art generated using mathematics and/or computers....

Fractal burning, Lichtenberg burning or wood fracking refers to a technique where a Lichtenberg figure is burnt into wood using high voltage electricity...

Fractal art is a form of algorithmic art created by calculating fractal objects and representing the calculation results as still digital images, animations...

Fractal Analytics Limited, trading as Fractal, is a multinational artificial intelligence company which provides services in packaged consumer goods,...

The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial p(z) ∈ C {\displaystyle...

A fractal landscape or fractal surface is generated using a stochastic algorithm designed to produce fractal behavior that mimics the appearance of natural...

According to Benoit Mandelbrot, "A fractal is by definition a set for which the Hausdorff-Besicovitch dimension strictly exceeds the topological dimension...

magnifications; mathematically, the boundary of the Mandelbrot set is a fractal curve. The "style" of this recursive detail depends on the region of the...

A fractal curve is, loosely, a mathematical curve whose shape retains the same general pattern of irregularity, regardless of how high it is magnified...

A fractal antenna is an antenna that uses a fractal, self-similar design to maximize the effective length, or increase the perimeter (on inside sections...

Fractal-generating software is any type of graphics software that generates images of fractals. There are many fractal generating programs available, both...

Fractal analysis is assessing fractal characteristics of data. It consists of several methods to assign a fractal dimension and other fractal characteristics...

as the Koch curve, Koch star, or Koch island) is a fractal curve and one of the earliest fractals to have been described. It is based on the Koch curve...

Fractal Glider is the stage name of Paul McCosh, a psychedelic trance artist from Melbourne, Australia. McCosh began his career under the stage name Fractal...

In physical cosmology, fractal cosmology is a set of minority cosmological theories which state that the distribution of matter in the Universe, or the...

recognized for his contribution to the field of fractal geometry, which included coining the word "fractal", as well as developing a theory of "roughness...

The Burning Ship fractal, first described and created by Michael Michelitsch and Otto E. Rössler in 1992, is generated by iterating the function: z n...

chartreuse in color and has a striking form that naturally approximates a fractal. Romanesco has a nutty flavor and a firmer texture than white cauliflower...

In computer science, a fractal tree index is a tree data structure that keeps data sorted and allows searches and sequential access in the same time as...

Analysis on fractals or calculus on fractals is a generalization of calculus on smooth manifolds to calculus on fractals. The theory describes dynamical...

Fractal compression is a lossy compression method for digital images, based on fractals. The method is best suited for textures and natural images, relying...

Fractal flames are a member of the iterated function system class of fractals created by Scott Draves in 1992. Draves' open-source code was later ported...

Fractal Noise is a 2023 science fiction novel written by American author Christopher Paolini and published under the Tor imprint of Macmillan Publishers...

nature are often chaotic, rarely exactly repeating, and often involve fractals. Natural patterns include spirals, meanders, waves, foams, tilings, cracks...

Prusinkiewicz, Przemyslaw; Hanan, James (1989), Lindenmayer Systems, Fractals, and Plants (Lecture Notes in Biomathematics), Springer-Verlag, ISBN 978-0-387-97092-9...

Fractals "Julia set", Encyclopedia of Mathematics, EMS Press, 2001 [1994] Weisstein, Eric W. "Julia Set". MathWorld. Bourke, Paul. "Julia set fractal...

Fractal Design is a Swedish computer hardware manufacturer. Founded in 2007, the company manufactures computer cases, water coolers, case fans, and power...