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

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

especially as it is magnified. It is popular for its aesthetic appeal and fractal structures. The set is defined in the complex plane as the complex numbers...

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

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

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

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...

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

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

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...

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

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...

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

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

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

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

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

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

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...

length. This results from the fractal curve–like properties of coastlines; i.e., the fact that a coastline typically has a fractal dimension. Although the "paradox...

Fractal Audio Systems, often shortened to Fractal, is an American audio equipment manufacturer founded in 2006. Fractal became pioneers of the high-end...

research of Fractal Expressionism focuses on human response to viewing fractals. Cognitive neuroscientists have shown that Pollock's fractals induce the...

scales (scale-invariant camouflage), in the manner of fractals, so some approaches are called fractal camouflage. Not all multiscale patterns are composed...

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...

analysis, the fractal derivative or Hausdorff derivative is a non-Newtonian generalization of the derivative dealing with the measurement of fractals, defined...

The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book Fractals Everywhere. He made it...

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

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...