abstract
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Closed chains of conics carrying Poncelet triangles

Lorenz Halbeisen and Norbert Hungerbühler

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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 k=5,6,...,23.