Fractal


 
 
Fractal

A fractal is a geometric object which is rough or irregular on all scales of length, and so which appears to be 'broken up' in a radical way. Some of the best examples can be divided into parts, each of which is similar to the original object. Fractals are said to possess infinite detail, and they may actually have a self-similar structure that occurs at different levels of magnification. In many cases, a fractal can be generated by a repeating pattern, in a typically recursive or iterative process. The term fractal was coined in 1975 by Beno?t Mandelbrot, from the Latin fractus or "broken". Before Mandelbrot coined his term, the common name for such structures (the Koch snowflake, for example) was monster curve.

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Fractals of many kinds were originally studied as mathematical objects. Fractal geometry is the branch of mathematics which studies the properties and behaviour of fractals. It describes many situations which cannot be explained easily by classical geometry, and has often been applied in science, technology, and computer-generated art. The conceptual roots of fractals can be traced to attempts to measure the size of objects for which traditional definitions based on Euclidean geometry or calculus fail.

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Geometric: REDIRECT Geometry...

Self-similar: REDIRECT Self-similarity...

Recursive: See:...


Fractal related Images and Photos (experimental)

Fractal Peace
Fractal Peace
Fractal Illusion
Fractal Illusion
Sunset Fractal
Sunset Fractal
Fractal Art Geometric 5
Fractal Art Geometric 5
Fractal Cosmos 2012 Wall Calendar
Fractal Cosmos 2012 Wall Calendar
Fractal Universe 2011 Wall Calendar
Fractal Universe 2011 Wall Calendar
Fractal Universe 2012 Wall Calendar
Fractal Universe 2012 Wall Calendar
Fractal Creations 2012 Wall Calendar
Fractal Creations 2012 Wall Calendar
Fractal Universe 2012 Mini Wall Calendar
Fractal Universe 2012 Mini Wall Calendar
Fractal Creations 2012 Hardcover Engagement Calendar
Fractal Creations 2012 Hardcover Engagement Calendar
Multi-Coloured Abstract Fractal Pattern with Circular Shapes and Blobs
Multi-Coloured Abstract Fractal Pattern with Circular Shapes and Blobs

~ Table of Content ~

Introduction
History
Definitions
Categories of fractals
Examples
Fractals in nature
Applications
Fractal generation
See also
Further reading
External links
 
FR: Fractale


 

~ Related Subjects ~

Technology (1) - Science (1) - Mathematical (1) - Calculus (1) - Euclidean geometry (1) - Computer-generated art (1) - Koch snowflake (1) - Recursive (1) - Self-similar (1) - Geometric (1) - Beno?t Mandelbrot (1) - 1975 (1) - Iterative (1) -
 

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