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==Types== [[File:NonIntegerMultibrot - Breaking of Space.jpg|thumb|right|A detail from a non-integer [[Multibrot set]]]] There are many different kinds of fractal images. They can be subdivided into several groups. * Fractals derived from standard geometry by using iterative transformations on an initial common figure like a straight line (the Cantor dust or the [[Koch snowflake|von Koch curve]]), a triangle (the [[Sierpinski triangle]]), or a cube (the [[Menger sponge]]). The first fractal figures invented near the end of the 19th and early 20th centuries belong to this group. * IFS ([[iterated function systems]]) * [[Strange attractors]] * [[Flame fractals|Fractal flame]] * [[L-system]] fractals * Fractals created by the iteration of complex [[polynomial]]s. * [[Newton fractal]]s, including [[Nova fractal]]s * Fractals generated over [[quaternion]]s and other [[Cayley-Dickson algebra]]s<ref>{{cite web| url = http://paulbourke.net/fractals/quatjulia/| title = Quaternion Julia Fractals}}</ref> * [[Fractal terrain]]s generated by random fractal processes<ref>{{cite web| url = https://www.fractalus.com/fractal-art-faq/faq03.html#3a| title = Fractal Art FAQ}}</ref> * [[Mandelbulb]]s are a form of three dimensional fractal. [[Fractal Expressionism]] is a term used to differentiate traditional visual art that incorporates fractal elements such as [[self-similarity]] for example. Perhaps the best example of fractal expressionism is found in [[Jackson Pollock]]'s dripped patterns. They have been analysed and found to contain a [[fractal dimension]] which has been attributed to his technique.<ref name="coex">{{cite book |title=Complexity explained |last=Érdi |first=Péter |author-link=Péter Érdi|year=2008 |publisher=Springer |isbn=978-3-540-35777-3 |page=214 |url=https://books.google.com/books?id=JwgpLvknc8wC |access-date=October 29, 2011}}</ref>
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