Corpus ID: 119600570

# New irrational polygons with Ehrhart-theoretic period collapse.

```@article{Le2018NewIP,
title={New irrational polygons with Ehrhart-theoretic period collapse.},
author={Quang-Nhat Le},
journal={arXiv: Combinatorics},
year={2018}
}```
• Quang-Nhat Le
• Published 1 August 2018
• Mathematics
• arXiv: Combinatorics
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… Expand

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