Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Un-unzippable Convex Caps   An unzipping of a polyhedron P is a cut-path through its vertices that
unfolds P to a non-overlapping shape in the plane. It is an open problem to
decide if every convex P has an unzipping. Here we show that there are nearly
flat convex caps that have no unzipping. A convex cap is a "top" portion of a
convex polyhedron; it has a boundary, i.e., it is not closed by a base.

23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg