English

A Note on the Faces of the Dual Koch Arrangement

Computational Geometry 2023-03-01 v1 Combinatorics

Abstract

We analyze the faces of the dual Koch arrangement, which is the arrangement of 2s+12^s + 1 lines obtained by projective duality from the Koch chain KsK_s. In particular, we show that this line arrangement does not contain any kk-gons for k>5k > 5, and that the number of pentagons is 32s133 \cdot 2^{s-1} - 3.

Keywords

Cite

@article{arxiv.2302.14125,
  title  = {A Note on the Faces of the Dual Koch Arrangement},
  author = {Bernd Gärtner and Manuel Wettstein},
  journal= {arXiv preprint arXiv:2302.14125},
  year   = {2023}
}