Translation surfaces and dynamics on moduli spaces - part 1
By Ferrán Valdez
Translation surfaces and dynamics on moduli spaces - part 2
By Ferrán Valdez
Translation surfaces and dynamics on moduli spaces - part 3
By Ferrán Valdez
By Diana Davis
Appears in collection : Differential Geometry, Billiards, and Geometric Optics / Géométrie différentielle, billards et optique géométrique
Periodic trajectories in polygons are rare and beautiful, and have several surprising properties. During the lockdown period in 2020, we wrote a Sage program to draw every periodic trajectory on every regular polygon with an odd number of edges. I’ll explain the underlying structure, and show lots of pictures from this vast menagerie. This is joint work with Samuel Lelièvre.