Open access
Date
2017-06Type
- Journal Article
Abstract
We investigate closed chains of conics which carry Poncelet triangles. In particular, we show that every chain of conics which carries Poncelet triangles can be closed. Furthermore, for k=3 and k=4 we show that there are closed chains of pairwise conjugate conics which carry Poncelet k-gons such that the contact points of each k-gon are the vertices of the next k-gon—such miraculous chains of conics do not exist for 5≤k≤23. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000192199Publication status
publishedExternal links
Journal / series
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometryVolume
Pages / Article No.
Publisher
SpringerSubject
Conic sections; Poncelet theorem; Conjugate conics; Projective mapsOrganisational unit
03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
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