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{{Use dmy dates|date=May 2019|cs1-dates=y}}
[[File:An iterated direct similarity yields spirals.svg|thumb|upright=1.8|[[Function composition|Composed]] with itself '''repeatedly''', [[Similarity (geometry)|similarity]] {{math|''F''}}
/>of [[Similarity (geometry)#Similarity_with_a_center|center]] ''S '' enlarges the smallest [[Regular polygon|'''regular''']] [[pentagon]] />into successive [[Concentric objects|concentric]] pentagons, in manner that the outline />of each one passes through all vertices of the previous pentagon, />of which it is the [[Image_(mathematics)#Image_of_an_element|image]] under {{math|''F''}}. If [[Transformation (function)|transformation]] {{math|''F''}} />is '''iterated''' indefinitely, then ''A '' and ''K'' />the starting points of two In [[mathematics]], an '''iterated function''' is a function that is obtained by [[function composition|composing]] another function with itself a certain number of times. The process of repeatedly applying the same function is called [[iteration]]. In this process, starting from some initial object, the result of applying a given function is fed again into the function as input, and this process is repeated.
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