A Note on the Faces of the Dual Koch Arrangement

Autor:	Gärtner, Bernd, Wettstein, Manuel
Rok vydání:	2023
Předmět:	Computer Science - Computational Geometry Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	We analyze the faces of the dual Koch arrangement, which is the arrangement of $2^s + 1$ lines obtained by projective duality from the Koch chain $K_s$. In particular, we show that this line arrangement does not contain any $k$-gons for $k > 5$, and that the number of pentagons is $3 \cdot 2^{s-1} - 3$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2302.14125 Zobrazit plný text záznamu View this record from Arxiv