Open access
Date
2023-02-27Type
- Working Paper
ETH Bibliography
yes
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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 $3 \cdot 2^{s-1} - 3$. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000653908Publication status
publishedJournal / series
arXivPages / Article No.
Publisher
Cornell UniversitySubject
Computational Geometry (cs.CG); Combinatorics (math.CO); FOS: Computer and information sciences; FOS: MathematicsOrganisational unit
09779 - Komm, Dennis / Komm, Dennis
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ETH Bibliography
yes
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