Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New irrational polygons with Ehrhart-theoretic period collapse   In a recent paper, Cristofaro-Gardiner--Li--Stanley [CGLS15] constructed
examples of irrational triangles whose Ehrhart functions (i.e. lattice-point
count) are polynomials when restricted to positive integer dilation factors.
This is very surprising because the Ehrhart functions of rational polygons are
usually only quasi-polynomials. We demonstrate that most of their triangles can
also be obtained by a simple cut-and-paste procedure that allows us to build
new examples with more sides. Our examples might potentially have applications
in the theory of symplectic embeddings.

25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat