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What is a fractal?

by Kaya Johnson

Created on: April 13, 2006   Last Updated: May 02, 2007

# A mathematically generated pattern that is reproducible at any magnification or reduction.
www.vistek.ca/glossary/default.asp

# A fractal has statistical self-similarity at all resolutions and is generated by an infinitely recursive process. In reality, those fractals generated by finite processes may exhibit no visible change in detail after some stage so are adequate approximations. So, for computer graphics we can extend the definition to include anything that has a substantial measure of exact or statistical self-similarity. ...


homepages.inf.ed.ac.uk/rbf/GRDICT/grdict.htm

# A self-similar structure whose geometrical and topographical features are recapitulated in miniature on finer and finer scales.
www.esse.ou.edu/glossary_st.html

# An irregular geometric object that is self-similar to its substructure at any level of refinement. The fractal dimension is a measure of the irregularity of the boundary of the object. Clouds have been shown to exhibit fractal characteristics with cloud perimeters having fractal dimension of about 1.35. ...
amsglossary.allenpress.com/glossary/browse

# an algorithm, or shape, characterized by self-similarity and produced by recursive sub-division; more generally the branch of mathematics named and explored by Benoit Mandelbrot
www.landscapemodeling.org/html/glossary/gl ossary.htm

# a complex geometric figure whose small-scale and large-scale structures resemble one another. Fractals represent mathematical equations and may be used for illustrating the regular features of complex objects and patterns.
www.germantownacademy.org/academics/US/Math /Geometry/stwk99/emilyh/def.htm

# A form of computer generated art making process that creates complex, repetitive, mathematically based geometric shapes and patterns that resemble those found in nature.
www.cybernet1.com/hcs/glossary.htm

# A term coined by Benoit Mandelbrot to refer to items with fractional dimensions as opposed to the integer dimensions such as 1, 2 and 3 associated with length, area and volume. Often used to refer to a structure bearing statistically similar details over a wide range of scales.
www.howell1964.freeserve.co.uk/MSc/FIC/FIC_B. htm

# Technology that enables the size of the cylindrical surrounds housing mobile phone antennae to be reduced.
www.telefonica.es/informeanual/ing/html/glos ario/glosariof.html

# A word coined by Benoit Mandelbrot in 1975 to describe shapes that are "self-similar" - that is, shapes that look the same at different magnifications. To create

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