Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: All pentagonal face multi tori   Design of monomeric unit, by using sequences of map operations, and the
growing process in the building of a double-shell multi torus with
all-pentagonal faces, is presented. It is shown that the monomer and some small
intermediates, as hydrogenated species, have a moderate stability, between
adamantane and C60 fullerene, as calculated at the PM3 level of theory. The
topology of these high genera structures is described in terms of Omega
polynomial as a function of the net parameters. Closed formulas for this
polynomial and examples are presented.

20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph