  In this article, we give the exact interval of the cross section of the so
called Mandelbric set generated by the polynomial $z^3+c$ where $z$ and $c$ are
complex numbers. Following that result, we show that the Mandelbric defined on
the hyperbolic numbers $\mathbb{D}$ is a square with its center at the origin.
Moreover, we define the Multibrot sets generated by a polynomial of the form
$Q_{p,c}(\eta )=\eta^p+c$ ($p \in \mathbb{N}$ and $p \geq 2$) for tricomplex
numbers. More precisely, we prove that the tricomplex Mandelbric has four
principal slices instead of eight principal 3D slices that arise for the case
of the tricomplex Mandelbrot set. Finally, we prove that one of these four
slices is an octahedron.
