English

Indecomposable coverings with homothetic polygons

Computational Geometry 2015-03-13 v2 Combinatorics Metric Geometry

Abstract

We prove that for any convex polygon SS with at least four sides, or a concave one with no parallel sides, and any m>0m>0, there is an mm-fold covering of the plane with homothetic copies of SS that cannot be decomposed into two coverings.

Keywords

Cite

@article{arxiv.1312.4597,
  title  = {Indecomposable coverings with homothetic polygons},
  author = {István Kovács},
  journal= {arXiv preprint arXiv:1312.4597},
  year   = {2015}
}
R2 v1 2026-06-22T02:29:00.466Z