English

Decompositions of a polygon into centrally symmetric pieces

Metric Geometry 2016-02-09 v2 Combinatorics

Abstract

In this paper we deal with edge-to-edge, irreducible decompositions of a centrally symmetric convex (2k)(2k)-gon into centrally symmetric convex pieces. We prove an upper bound on the number of these decompositions for any value of kk, and characterize them for octagons.

Keywords

Cite

@article{arxiv.1504.05418,
  title  = {Decompositions of a polygon into centrally symmetric pieces},
  author = {Júlia Frittmann and Zsolt Lángi},
  journal= {arXiv preprint arXiv:1504.05418},
  year   = {2016}
}

Comments

17 pages, 17 figures