47 citations · 313 across the 74 of their papers we have counts for
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math.DS2011
Periodic trajectories in the regular pentagon, II
Dmitry Fuchs, Serge Tabachnikov
In our recent paper, we studied periodic billiard trajectories in the regular pentagon and closed geodesic on the double pentagon, a translation surface of genus two. In particular…
math.DS2011★ 39 cited
Liouville-Arnold integrability of the pentagram map on closed polygons
Valentin Ovsienko, Richard Evan Schwartz, Serge Tabachnikov
The pentagram map is a discrete dynamical system defined on the moduli space of polygons in the projective plane. This map has recently attracted a considerable interest, mostly be…
math.DS2011★ 7 cited
Periodic trajectories in the regular pentagon
Diana Davis, Dmitry Fuchs, Serge Tabachnikov
We study periodic linear trajectories in the double pentagon and periodic billiard trajectories in the regular pentagon.