Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tricomplex dynamical systems generated by polynomials of even degree   In this article, we give the exact interval of the cross section of the
Multibrot sets generated by the polynomial $z^p+c$ where $z$ and $c$ are
complex numbers and $p \geq 2$ is an even integer. Furthermore, we show that
the same Multibrots defined on the hyperbolic numbers are always squares.
Moreover, we give a generalized 3D version of the hyperbolic Multibrot set and
prove that our generalization is an octahedron for a specific 3D slice of the
tricomplex polynomial $\eta^p+c$ where $p \geq 2$ is an even integer.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess