Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On convexification of polygons by pops   Given a polygon $P$ in the plane, a {\em pop} operation is the reflection of
a vertex with respect to the line through its adjacent vertices. We define a
family of alternating polygons, and show that any polygon from this family
cannot be convexified by pop operations. This family contains simple, as well
as non-simple (i.e., self-intersecting) polygons, as desired. We thereby answer
in the negative an open problem posed by Demaine and O'Rourke \cite[Open
Problem 5.3]{DO07}.

16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th