Editing Fractal art (section)

{{Short description|Form of algorithmic art}}
{{Use mdy dates|date=June 2021}}
[[File:Hindu Temple Design.jpg|thumb|[[Hindu temple architecture|Hindu temples]] feature self-similar, fractal-like structures, where parts resemble the whole.<ref>{{cite journal|last1=Trivedi|first1=K.|title=Hindu Temples: Models of a Fractal Universe|journal=The Visual Computer|date=1989|volume=5|issue=4|pages=243–258|doi=10.1007/BF02153753|s2cid=29185088}}</ref>]]
[[File:Selimiye Mosque, Dome.jpg|thumb|[[Islamic geometric patterns]] are reminiscent of fractal art, as on the main dome of [[Selimiye Mosque (Edirne)|Selimiye Mosque]] in [[Edirne]], Turkey, with [[self-similar]] patterns.]]

'''Fractal art''' is a form of [[algorithmic art]] created by calculating [[fractal]] objects and representing the calculation results as still digital images, animations, and [[Algorithmic composition|media]]. Fractal art developed from the mid-1980s onwards.<ref name="fgad">{{cite book |title=Fractal geometry in architecture and design |last=Bovill |first=Carl |year=1996 |publisher=Birkhauser |location=Boston |isbn=0-8176-3795-8 |page=153 |url=https://books.google.com/books?id=w5ptaiGsac4C |access-date=October 28, 2011}}</ref> It is a genre of [[computer art]] and [[digital art]] which are part of [[new media art]]. The [[mathematical beauty]] of fractals lies at the intersection of [[generative art]] and [[computer art]].  They combine to produce a type of [[abstract art]].

Fractal art (especially in the western world) is rarely drawn or painted by hand. It is usually created indirectly with the assistance of [[fractal-generating software]], iterating through three phases: setting parameters of appropriate fractal software; executing the possibly lengthy calculation; and evaluating the product. In some cases, other [[graphics software|graphics programs]] are used to further modify the images produced. This is called post-processing. Non-fractal imagery may also be integrated into the artwork.<ref name="mra">{{cite web |url=http://www.casperjournal.com/article_bbe58a64-0b86-5e64-8fc5-459eafbe67fb.html |title=Meet Reginald Atkins, mathematical artist |author=Elysia Conner |date=February 25, 2009 |publisher=CasperJournal.com |access-date=October 28, 2011 |archive-url=https://web.archive.org/web/20120420043959/http://www.casperjournal.com/article_bbe58a64-0b86-5e64-8fc5-459eafbe67fb.html |archive-date=April 20, 2012 |url-status=dead }}</ref> The [[Julia set]] and [[Mandelbrot set]]s can be considered as [[icon]]s of fractal art.<ref name="hema">{{cite book |title=The heart of mathematics: an invitation to effective thinking |last=Burger |first=Edward B. |author2=Michael P. Starbird |year=2005 |publisher=Springer |isbn=1-931914-41-9 |page=475 |url=https://books.google.com/books?id=M-qK8anbZmwC |access-date=October 30, 2011}}</ref>

It was assumed that fractal art could not have developed without computers because of the [[calculation|calculative]] capabilities they provide.<ref name="dima">{{cite book |title=Digital Mantras: The languages of abstract and virtual worlds |last=Steven R. |first=Holtzman |year=1995 |publisher=MIT Press |isbn=0-262-58143-4 |page=241 |url=https://books.google.com/books?id=gc5hnRuABy0C |access-date=October 28, 2011}}</ref> Fractals are generated by applying [[Iteration|iterative]] methods to solving non-linear equations or [[polynomial equation]]s. Fractals are any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size.<ref>[http://www.merriam-webster.com/dictionary/fractal Fractal – Definition]. Free Merriam-Webster Dictionary.</ref>