A Note on the Faces of the Dual Koch Arrangement

02/27/2023

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by   Bernd Gärtner, et al.

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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 · 2^s-1 - 3.