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arXiv · 2302.14125

A Note on the Faces of the Dual Koch Arrangement

Bernd Gärtner·Manuel Wettstein
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Abstract

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 $3 \cdot 2^{s-1} - 3$.

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Bernd Gärtner, Manuel Wettstein. 2023-02-27. A Note on the Faces of the Dual Koch Arrangement. https://arxiv.org/abs/2302.14125

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