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Wat (wie) is iterated function - definitie
Iterated function
![''F''}}<br
/>is '''iterated''' indefinitely, then ''A '' and ''K''<br
/>are the starting points of two infinite [[spiral]]s.](https://commons.wikimedia.org/wiki/Special:FilePath/An iterated direct similarity yields spirals.svg?width=200 "''F''}}<br
/>is '''iterated''' indefinitely, then ''A '' and ''K''<br
/>are the starting points of two infinite [[spiral]]s.")
MATHEMATICAL OPERATION OF COMPOSING A FUNCTION WITH ITSELF REPEATEDLY
Picard sequence; Function iteration; Function Iteration; Iterated map; Fractional iteration; Iterative functional-differential equation; Iteration orbit; Iterative function
In mathematics, an iterated function is a function (that is, a function from some set to itself) which is obtained by composing another function with itself a certain number of times. The process of repeatedly applying the same function is called iteration.
Iterated Function System
![Construction of an IFS by the [[chaos game]] (animated)](https://commons.wikimedia.org/wiki/Special:FilePath/Chaosgame.gif?width=200 "Construction of an IFS by the [[chaos game]] (animated)")
![Apophysis]] software and rendered by the [[Electric Sheep]].](https://commons.wikimedia.org/wiki/Special:FilePath/Chris Ursitti fractal 0000.png?width=200 "Apophysis]] software and rendered by the [[Electric Sheep]].")
![[[Barnsley's fern]], an early IFS](https://commons.wikimedia.org/wiki/Special:FilePath/Fractal fern explained.png?width=200 "[[Barnsley's fern]], an early IFS")
![[[Menger sponge]], a 3-Dimensional IFS.](https://commons.wikimedia.org/wiki/Special:FilePath/Menger sponge (IFS).jpg?width=200 "[[Menger sponge]], a 3-Dimensional IFS.")
METHOD ALLOWING THE CONSTRUCTION OF SELF-SIMILAR FRACTALS
Iterated function systems; Iterated Function System; Iterated Function Systems
<graphics> (IFS) A class of fractals that yield
natural-looking forms like ferns or snowflakes. Iterated
Function Systems use a very easy transformation that is done
recursively.
(1998-04-04)
Iterated function system
METHOD ALLOWING THE CONSTRUCTION OF SELF-SIMILAR FRACTALS
Iterated function systems; Iterated Function System; Iterated Function Systems
In mathematics, iterated function systems (IFSs) are a method of constructing fractals; the resulting fractals are often self-similar. IFS fractals are more related to set theory than fractal geometry.
