Editing Mandelbrot set (section)

===Other non-analytic mappings===
[[File:Mandelbar fractal from XaoS.PNG|left|thumb|Image of the [[Tricorn (mathematics)|Tricorn / Mandelbar fractal]]]]

The '''[[tricorn (mathematics)|tricorn]] fractal''', also called the '''Mandelbar set''', is the connectedness locus of the [[Antiholomorphic function|anti-holomorphic]] family <math>z \mapsto \bar{z}^2 + c</math>.<ref name=":6">{{Citation |last1=Inou |first1=Hiroyuki |title=Accessible hyperbolic components in anti-holomorphic dynamics |date=2022-03-23 |arxiv=2203.12156 |last2=Kawahira |first2=Tomoki}}</ref><ref>{{Citation |last1=Gauthier |first1=Thomas |title=Distribution of postcritically finite polynomials iii: Combinatorial continuity |date=2016-02-02 |arxiv=1602.00925 |last2=Vigny |first2=Gabriel}}</ref> It was encountered by [[John Milnor|Milnor]] in his study of parameter slices of real [[Cubic function|cubic polynomials]].{{Citation needed|date=March 2025}} It is not locally connected.<ref name=":6" /> This property is inherited by the connectedness locus of real cubic polynomials.{{Citation needed|date=March 2025}}

Another non-analytic generalization is the [[Burning Ship fractal]], which is obtained by iterating the following:

:<math>z \mapsto (|\Re \left(z\right)|+i|\Im \left(z\right)|)^2 + c</math>.{{Citation needed|date=March 2025}}