- Journal Article
Rights / licenseCreative Commons Attribution 4.0 International
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
Journal / seriesBeitrage zur Algebra und Geometrie
Pages / Article No.
SubjectConic sections; Poncelet theorem; Conjugate conics; Projective maps
Organisational unit03874 - Hungerbühler, Norbert / Hungerbühler, Norbert
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