Of particular interest is the tricorn fractal, the connectedness locus of the anti-holomorphic family
−
<math> z \mapsto \bar{z}^2 + c.</math>
−
The tricorn (also sometimes called the Mandelbar) was encountered by Milnor in his study of parameter slices of real cubic polynomials. It is not locally connected. This property is inherited by the connectedness locus of real cubic polynomials.
−
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>