## Fractal

A **fractal** is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. Fractals are typically self-similar patterns, where self-similar means they are "the same from near as from far". Fractals may be exactly the same at every scale, or, as illustrated in Figure 1, they may be nearly the same at different scales. The definition of fractal goes beyond self-similarity *per se* to exclude trivial self-similarity and include the idea of a *detailed pattern* repeating itself.

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### Some articles on fractal:

Sterling (program)

... Sterling is a

... Sterling is a

**fractal**-generating computer program written in the C programming language in 1999 for Microsoft Windows by Stephen C ... The only internals that are different are the 50 formulae for**fractal**generation ... on the notion that one way to generate interesting**fractal**images is by using elaborate color filters and shading ...**Fractal**Analysis

...

**Fractal**analysis is assessing

**fractal**characteristics of data ... It consists of several methods to assign a

**fractal**dimension and other

**fractal**characteristics to a dataset which may be a theoretical dataset or a pattern or signal extracted from phenomena including ...

**Fractal**analysis is now widely used in all areas of science ...

**Fractal**- Applications in Technology

...

**fractal**antennas

**Fractal**transistor

**fractal**heat exchangers digital imaging urban growth Classification of histopathology slides

**Fractal**landscape or Coastline complexity Enzyme/enzymol ...

A Theory Of Architecture - Primary Topics - The

... and conceives architectural form, and postulates that

**Fractal**Mind... and conceives architectural form, and postulates that

**fractal**and other organizational mechanisms play a key role in perception ... It then argues that human beings naturally prefer**fractal**, organized structures, based on how the mind works ...**Fractal**Cosmology -

**Fractal**s in Observational Cosmology

... The first attempt to model the distribution of galaxies with a

**fractal**pattern was made by Luciano Pietronero and his team in 1987, and a more detailed view of the universe’s ... Pietronero argues that the universe shows a definite

**fractal**aspect, over a fairly wide range of scale, with a

**fractal**dimension of about 2 ... The

**fractal**dimension of a homogeneous 3D object would be 3, and 2 for a homogeneous surface, whilst the

**fractal**dimension for a

**fractal**surface is between 2 and 3 ...

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