Periodic trajectories in the regular pentagon

zbMath1276.37033arXiv1102.1005MaRDI QIDQ4902626

Dmitry Fuchs, Diana Davis, Sergei Tabachnikov

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1102.1005

zbMATH Keywords

closed geodesicsregular pentagonperiodic billiard trajectoriesregular dodecahedronVeech alternative

Mathematics Subject Classification ID

Dynamical systems involving maps of the interval (37E05) Combinatorial dynamics (types of periodic orbits) (37E15) Flows on surfaces (37E35)

Related Items (7)

A Short Introduction to Translation Surfaces, Veech Surfaces, and Teichmüller Dynamics ⋮ Regular simplices and periodic billiard orbits ⋮ On cutting sequences of the \(L\)-shaped translation surface tiled by three squares ⋮ Cutting sequences, regular polygons, and the Veech group ⋮ Periodic billiard trajectories in regular polygons and closed geodesics on regular polyhedra ⋮ Minimizing closed geodesics on polygons and disks ⋮ Central points of the double heptagon translation surface are not connection points

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