Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric descriptions of polygon and chain spaces   We give a few simple methods to geometically describe some polygon and
chain-spaces in R^d. They are strong enough to give tables of m-gons and
m-chains when m <= 6.

8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph