3 problems

Let $p$ be the order of a Multibrot set, and consider its 3D principal slices. Parisé's conjecture. There are at least eight 3D principal slices when $p$ is even, and at least four…

Let $\mathcal{H}^p$ denote the Hyperbrot set for the hyperbolic polynomial $z^p+c$, with $c=a+b\mathbf{j}$. Hyperbrot characterization conjecture. The Hyperbrot sets are squares an…

The tricomplex polynomial dynamics and their associated Multibrot sets are considered, with the Fatou and Julia sets understood in the tricomplex setting. Fatou–Julia conjecture. T…